Numerical methods for atomic quantum gases with applications to Bose-Einstein condensates and to ultracold fermions

Physics Reports

Volumn 395, Issue 4-5, 2004, Pages 223-355

  Minguzzi, A ^a   Succi, S ^b   Toschi, F ^b   Tosi, M P ^a   Vignolo, P ^a  

^a SCUOLA NORMALE SUPERIORE   (Italy)

^b CNR   (Italy)

Author keywords

Bose Einstein condensation; Degenerate Fermi gases

Indexed keywords

EID: 2342514270     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2004.02.001     Document Type: Review

References (535)

1. Parkin A.S. Walls D.F. The physics of trapped dilute-gas Bose-Einstein condensates Phys. Rep. 303 1998 1
2. Dalfovo F. Giorgini S. Pitaevskii L. Stringari S. Theory of Bose-Einstein condensation in trapped gases Rev. Mod. Phys. 71 1999 463
3. Leggett A.J. Bose-Einstein condensation in alkali gases: some fundamental concepts Rev. Mod. Phys. 73 2001 307
4. Pethick C.J. Smith H. Bose-Einstein Condensation in Atomic Gases 2002 Cambridge University Press Cambridge
5. Pitaevskii L.P. Stringari S. Bose-Einstein Condensation 2003 Clarendon Oxford
6. M. Inguscio, S. Stringari, C. Wieman (Eds.), Bose-Einstein condensation in atomic gases, Proceedings of the International School "Enrico Fermi", IOS Press, Amsterdam, 1999.
7. S. Martellucci, A.N. Chester, A. Aspect, M. Inguscio (Eds.), Bose-Einstein Condensates and Atom Lasers, Proceedings of the International School of Quantum Electronics, Kluwer, New York, 2000.
8. A. Aspect, J. Dalibard (Eds.), Comptes Rendus de l'Académie des Sciences-Dossier: Bose-Einstein Condensates and Atom Lasers, Paris, 2001.
9. A. Aspect, J. Dalibard (Eds.), Comptes Rendus de l'Académie des Sciences-Dossier: Atom Optics and Interferometry, Paris, 2001.
10. R. Kaiser, C. Westbrook, F. David (Eds.), Coherent atomic matter waves, Les Houches Ècole de Physique-Ècole d'été de Physique Theorique, Session LXXII, Springer, Berlin, 2001.
11. Sadeghpour H.R. Bohn J.L. Cavagnero M.J. Esry B.D. Fabrikant I.I. Macek J.H. Rau A.R.P. Collisions near threshold in atomic and molecular physics J. Phys. B 33 2000 R93
12. Abrikosov A.A. Gorkov L.P. Dzyaloshinski I.E. Methods of Quantum Field Theory in Statistical Physics 1963 Dover New York
13. Wong V.K. Gould H. Long-wavelength excitations in a Bose gas at zero temperature Ann. Phys. (NY) 83 1974 253
14. Petrov D.S. Holzmann M. Shlyapnikov G.V. Bose-Einstein condensation in quasi-2D trapped gases Phys. Rev. Lett. 84 2000 2551
15. Olshanii M. Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons Phys. Rev. Lett. 81 1998 938
16. Bogoliubov N. On the theory of superfluidity J. Phys. USSR 11 1947 23
17. Gavoret J. Nozières P. Structure of the perturbation expansion for the Bose liquid at zero temperature Ann. Phys. (NY) 28 1964 349
18. Castin Y. Dum R. Low-temperature Bose-Einstein condensates in time-dependent traps: beyond the U(1) symmetry-breaking approach Phys. Rev. A 57 1998 3008
19. Hugenholtz N.M. Pines D. Ground-state energy and excitation spectrum of a system of interacting bosons Phys. Rev. 116 1959 489
20. Hohenberg P.C. Martin P.C. Microscopic theory of superfluid helium Ann. Phys. (NY) 34 1965 291
21. Penrose O. Onsager L. Bose-Einstein condensation and liquid helium Phys. Rev. 104 1956 576
22. Allen J.F. Misener A.D. Flow of liquid helium II Nature 141 1938 75
23. Peshkov V.P. Second sound in He II J. Phys. Moscow 8 1944 381
24. Hess G.B. Fairbank W.M. Measurements of angular momentum in superfluid helium Phys. Rev. Lett. 19 1967 216
25. Tisza L. Transport phenomena in helium II Nature 141 1938 913
26. Khalatnikov K.M. An Introduction to the Theory of Superfluidity 1965 Benjamin New York
27. Andronikashvili E.L. Malamadze Y.G. Quantization of macroscopic motions and hydrodynamics of rotating helium II Rev. Mod. Phys. 38 1966 567
28. Atkins K.R. Liquid Helium 1959 Cambridge University Press London
29. 4He Phys. Rev. B 62 2000 14337
30. 4He Europhys. Lett. 19 1992 403
31. Moroni S. Senatore G. Fantoni S. Momentum distribution of liquid helium Phys. Rev. B 55 1997 1040
32. 4He Can. J. Phys. 65 1987 1409
33. 4He Phys. Rev. B 31 1985 7022
34. 4He Phys. Rev. Lett. 56 1986 351
35. Grebenev S. Toennies J.P. Vilesov A.F. Superfluidity within a small helium-4 cluster: the microscopic Andronikashvili experiment Science 279 1998 2083
36. 4He Phys. Rev. Lett. 83 1999 5058
37. Draeger E.W. Ceperley D.M. Superfluidity in a doped helium droplet Phys. Rev. Lett. 89 2002 015301
38. c Phys. Lett. 21 1966 608
39. Popov V.N. Functional Integrals in Quantum Field Theory and Statistical Physics 1983 Reidel Dordrecht
40. G. Baym, Microscopic theory of superfluid helium, in: R.C. Clark, G.H. Derrick (Eds.), Mathematical Methods in Solid State and Superfluid Theory, Oliver and Boyd, Edinburgh, 1969, p. 121.
41. Leggett A.J. Superfluidity Rev. Mod. Phys. 71 1999 S318
42. Hohenberg P.C. Existence of long-range order in one and two dimensions Phys. Rev. 158 1966 383
43. Magro W.R. Ceperley D.M. Ground-state properties of the two-dimensional Bose Coulomb liquid Phys. Rev. Lett. 73 1994 826
44. Pitaevskii L. Stringari S. Uncertainty principle, quantum fluctuations and broken symmetries J. Low Temp. Phys. 85 1991 377
45. Fisher D.S. Hohenberg P.C. Dilute Bose gas in two dimensions Phys. Rev. B 37 1988 4936
46. Walraven J.T.M. Eliel E.R. Silvera I.F. Experimental study of spin aligned atomic hydrogen condensed on surfaces Phys. Lett. A 66 1978 247
47. Hänsch T. Schawlow A. Cooling of gases by laser radiation Opt. Commun. 13 1975 68
48. Dalibard J. Cohen-Tannoudji C. Laser cooling below the Doppler limit by polarization gradients: simple theoretical models J. Opt. Soc. Am. B 6 1989 2023
49. Aspect A. Arimondo E. Kaiser R. Vansteenkiste N. Cohen-Tannoudji C. Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping Phys. Rev. Lett. 61 1988 826
50. Olshanii M.A. Minogin V.G. Three-dimensional velocity-selective coherent population trapping of (3+1)-level atoms Quantum Opt. 3 1991 317
51. Lawall J. Kulin S. Saubaméa B. Bigelow N. Leduc M. Cohen-Tannoudji C. Three-dimensional laser cooling of helium beyond the single-photon recoil limit Phys. Rev. Lett. 75 1995 4194
52. Petrich W. Anderson M.H. Ensher J.R. Cornell E.A. Stable, tightly confining magnetic trap for evaporative cooling of neutral atoms Phys. Rev. Lett. 74 1995 3352
53. Anderson M.H. Ensher J.R. Matthews M.R. Wieman C.E. Cornell E.A. Observation of Bose-Einstein condensation in a dilute atomic vapor Science 269 1995 198
54. Cornell E.A. Wieman C.E. Nobel lecture: Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments Rev. Mod. Phys. 74 2002 875
55. Ketterle W. Nobel lecture: when atoms behave as waves: Bose-Einstein condensation and the atom laser Rev. Mod. Phys. 74 2002 1131
56. Davis K.B. Mewes M.O. Andrews M.R. van Druten N.J. Durfee D.S. Kurn D.M. Ketterle W. Bose-Einstein condensation in a gas of sodium atoms Phys. Rev. Lett. 75 1995 3969
57. Bradley C.C. Sackett C.A. Tollett J.J. Hulet R.G. Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions Phys. Rev. Lett. 75 1995 1687
58. Bradley C.C. Sackett C.A. Tollett J.J. Hulet R.G. Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions Phys. Rev. Lett. 79 1997 1170
59. Fried D.G. Killian T.C. Willmann L. Landhuis D. Moss S.C. Kleppner D. Greytak T.J. Bose-Einstein condensation of atomic hydrogen Phys. Rev. Lett. 81 1998 3811
60. 85Rb Bose-Einstein condensates with widely tunable interactions Phys. Rev. Lett. 85 2000 1795
61. Robert A. Sirjean O. Browaeys A. Poupard J. Nowak S. Boiron D. Westbrook C.I. Aspect A. A Bose-Einstein condensate of metastable atoms Science 292 2001 461
62. Santos F.P.D. Léonard J. Wang J. Barrelet C.J. Perales F. Rasel E. Unnikrishnan C.S. Leduc M. Cohen-Tannoudji C. Bose-Einstein condensation of metastable helium Phys. Rev. Lett. 86 2001 3459
63. Modugno G. Ferrari G. Roati G. Brecha R.J. Simoni A. Inguscio M. Bose-Einstein condensation of potassium atoms by sympathetic cooling Science 294 2001 1320
64. Weber T. Herbig J. Mark M. Nägerl H.-C. Grimm R. Bose-Einstein condensation of cesium Science 299 2003 232
65. Takasu Y. Maki K. Komori K. Takano T. Honda K. Kumakura M. Yabuzaki T. Takahashi Y. Spin-singlet Bose-Einstein condensation of two-electron atoms Phys. Rev. Lett. 91 2003 040404
66. Ensher J.R. Jin D.S. Matthews M.R. Wieman C.E. Cornell E.A. Bose-Einstein condensation in a dilute gas: measurement of energy and ground-state occupation Phys. Rev. Lett. 77 1996 4984
67. Giorgini S. Pitaevskii L.P. Stringari S. Scaling and thermodynamics of a trapped Bose-condensed gas Phys. Rev. Lett. 78 1997 3987
68. E.A. Cornell, J.R. Ensher, C.E. Wieman, Experiments in dilute atomic Bose-Einstein condensation, in: M. Inguscio, S. Stringari, C.E. Wieman (Eds.), Proceedings of the International School "Enrico Fermi", IOS Press, Amsterdam, 1999, p. 15.
69. Giorgini S. Pitaevskii L.P. Stringari S. Condensate fraction and critical temperature of a trapped interacting Bose gas Phys. Rev. A 54 1996 R4633
70. F. Gerbier, J.H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, A. Aspect, Critical temperature of a trapped weakly interacting Bose gas, Cond-mat/0307188.
71. Kohn W. Cyclotron resonance and de Haas-van Alphen oscillations of an interacting electron gas Phys. Rev. 123 1961 1242
72. Dobson J.F. Harmonic-potential theorem: implications for approximate many-body theories Phys. Rev. Lett. 73 1994 2244
73. Jin D.S. Ensher J.R. Matthews M.R. Wieman C.E. Cornell E.A. Collective excitations of a Bose-Einstein condensate in a dilute gas Phys. Rev. Lett. 77 1996 420
74. Mewes M.O. Andrews M.R. van Druten N.J. Kurn D.M. Durfee D.S. Townsend C.G. Ketterle W. Collective excitations of a Bose-Einstein condensate in a magnetic trap Phys. Rev. Lett. 77 1996 988
75. Onofrio R. Durfee D.S. Raman C. Köhl M. Kuklewicz C.E. Ketterle W. Surface excitations of a Bose-Einstein condensate Phys. Rev. Lett. 84 2000 810
76. Griffin A. Wu W.-C. Stringari S. Hydrodynamic modes in a trapped Bose gas above the Bose-Einstein transition Phys. Rev. Lett. 78 1997 1838
77. Jin D.S. Matthews M.R. Ensher J.R. Wieman C.E. Cornell E.A. Temperature-dependent damping and frequency shifts in collective excitations of a dilute Bose-Einstein condensate Phys. Rev. Lett. 78 1997 764
78. Stamper-Kurn D.M. Miesner H.J. Inouye S. Andrews M.R. Ketterle W. Collisionless and hydrodynamic excitations of a Bose-Einstein condensate Phys. Rev. Lett. 81 1998 500
79. Bijlsma M.J. Stoof H.T.C. Collisionless modes of a trapped Bose gas Phys. Rev. A 60 1999 3973
80. Reidl J. Csordás A. Graham R. Szépfalusy P. Shifts and widths of collective excitations in trapped Bose gases determined by the dielectric formalism Phys. Rev. A 61 2000 043606
81. Jackson B. Zaremba E. Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates Phys. Rev. Lett. 88 2002 180402
82. S.A. Morgan, M. Rusch, D.A.W. Hutchinson, K. Burnett, Quantitative test of thermal field theory for Bose-Einstein condensates, Cond-mat/0305535.
83. Andrews M.R. Kurn D.M. Miesner H.J. Durfee D.S. Townsend C.G. Inouye S. Ketterle W. Propagation of sound in a Bose-Einstein condensate Phys. Rev. Lett. 79 1997 553
84. Andrews M.R. Kurn D.M. Miesner H.J. Durfee D.S. Townsend C.G. Inouye S. Ketterle W. Erratum: Propagation of sound in a Bose-Einstein condensate Phys. Rev. Lett. 80 1998 2967
85. Hechenblaikner G. Maragò O.M. Hodby E. Arlt J. Hopkins S. Foot C.J. Observation of harmonic generation and nonlinear coupling in the collective dynamics of a Bose-Einstein condensate Phys. Rev. Lett. 85 2000 692
86. Burger S. Bongs K. Dettmer S. Ertmer W. Sengstock K. Sanpera A. Shlyapnikov G.V. Lewenstein M. Dark solitons in Bose-Einstein condensates Phys. Rev. Lett. 83 1999 5198
87. Denschlag J. Simsarian J.E. Feder D.L. Clark C.W. Collins L.A. Cubizolles J. Deng L. Hagley E.W. Helmerson K. Reinhardt W.P. Rolston S.L. Schneider B.I. Phillips W.D. Generating solitons by phase engineering of a Bose-Einstein condensate Science 287 2000 97
88. Anderson B.P. Haljan P.C. Regal C.A. Feder D.L. Collins L.A. Clark C.W. Cornell E.A. Watching dark solitons decay into vortex rings in a Bose-Einstein condensate Phys. Rev. Lett. 86 2001 2926
89. Dutton Z. Budde M. Slowe C. Hau L. Observation of quantum shock waves created with ultra- compressed slow light pulses in a Bose-Einstein condensate Science 293 2001 663
90. Mewes M.O. Andrews M.R. Kurn D.M. Durfee D.S. Townsend C.G. Ketterle W. Output coupler for Bose-Einstein condensed atoms Phys. Rev. Lett. 78 1997 582
91. Anderson B.P. Kasevich M.A. Macroscopic quantum interference from atomic tunnel arrays Science 282 1998 1686
92. Bloch I. Hänsch T.W. Esslinger T. Atom laser with a cw output coupler Phys. Rev. Lett. 82 1999 3008
93. Hagley E.W. Deng L. Kozuma M. Wen J. Helmerson K. Rolston S.L. Phillips W.D. A well-collimated quasi-continuous atom laser Science 283 1999 1706
94. Cennini G. Ritt G. Geckeler C. Weitz M. All-optical realization of an atom laser Phys. Rev. Lett. 91 2003 240408
95. Kagan Y. Svistunov B.V. Kinetics of the onset of long-range order during Bose condensation in an interacting gas Sov. Phys. JETP 78 1994 187
96. Y. Kagan, Kinetics of Bose-Einstein condensate formation in an interacting Bose gas, in: A. Griffin, D.W. Snoke, S. Stringari (Eds.), Bose-Einstein Condensation, Cambridge University Press, Cambridge, 1995, p. 202.
97. Stoof H.T.C. Initial stages of Bose-Einstein condensation Phys. Rev. Lett. 78 1997 768
98. Gardiner C.W. Zoller P. Ballagh R.J. Davis M.J. Kinetics of Bose-Einstein condensation in a trap Phys. Rev. Lett. 79 1997 1793
99. Miesner H.J. Stamper-Kurn D.M. Andrews M.R. Durfee D.S. Inouye S. Ketterle W. Bosonic stimulation in the formation of a Bose-Einstein condensate Science 279 1998 1005
100. Javanainen J. Yoo S.M. Quantum phase of a Bose-Einstein condensate with an arbitrary number of atoms Phys. Rev. Lett. 76 1996 161
101. Mølmer K. Phase collapse and excitations in Bose-Einstein condensates Phys. Rev. A 58 1998 566
102. Andrews M.R. Townsend C.G. Miesner H.J. Durfee D.S. Kurn D.M. Ketterle W. Observation of interference between two Bose-Einstein condensates Science 275 1997 637
103. W. Ketterle, D.S. Durfee, D.M. Stamper-Kurn, Making, probing and understanding Bose-Einstein condensates, in: M. Inguscio, S. Stringari, C.E. Wieman (Eds.), Proceedings of the International School "Enrico Fermi", IOS Press, Amsterdam, 1999, p. 67.
104. Y. Castin, Bose-Einstein condensates in atomic gases, in: R. Kaiser, C. Westbrook, F. David (Eds.), Coherent Atomic Matter Waves, Proceedings of Les Houches NATO Advanced Institute, Springer, Berlin, 2001, p. 5.
105. Röhrl A. Naraschewski M. Schenzle A. Wallis H. Transition from phase locking to the interference of independent Bose condensates: theory versus experiment Phys. Rev. Lett. 78 1997 4143
106. Kozuma M. Deng L. Hagley E.W. Wen J. Lutwak R. Helmerson K. Rolston S.L. Phillips W.D. Coherent splitting of Bose-Einstein condensed atoms with optically induced Bragg diffraction Phys. Rev. Lett. 82 1999 871
107. Inouye S. Pfau T. Gupta S. Chikkatur A.P. Görlitz A. Pritchard D.E. Ketterle W. Phase-coherent amplification of atomic matter waves Nature 402 1999 641
108. Mewes M.O. Andrews M.R. van Druten N.J. Kurn D.M. Durfee D.S. Ketterle W. Bose-Einstein condensation in a tightly confining dc magnetic trap Phys. Rev. Lett. 77 1996 416
109. Holland M.J. Jin D.S. Chiofalo M.L. Cooper J. Emergence of interaction effects in Bose-Einstein condensation Phys. Rev. Lett. 78 1997 3801
110. Busch B.D. Liu C. Dutton Z. Behroozi C.H. Hau L.V. Observation of interaction dynamics in finite-temperature Bose condensed atom clouds Europhys. Lett. 51 2000 485
111. Burt E.A. Ghrist R.W. Myatt C.J. Holland M.J. Cornell E.A. Wieman C.E. Coherence, correlations, and collisions: what one learns about Bose-Einstein condensates from their decay Phys. Rev. Lett. 79 1997 337
112. Kagan Y. Svistunov B.V. Shlyapnikov G.V. Effect of Bose condensation on inelastic processes in gases JEPT Lett. 42 1985 209
113. Safonov A.I. Vasilyev S.A. Yasnikov I.S. Lukashevich I.I. Jaakkola S. Observation of quasicondensate in two-dimensional atomic hydrogen Phys. Rev. Lett. 81 1998 4545
114. Kagan Y. Svistunov B.V. Shlyapnikov G.V. Influence on inelastic processes of the phase transition in a weakly collisional two-dimensional Bose gas Sov. Phys. JEPT 66 1987 314
115. Kagan Y. Kashurnikov V.A. Krasavin A.V. Prokof'ev N.V. Svistunov B.V. Quasicondensation in a two-dimensional interacting Bose gas Phys. Rev. A 61 2000 43608
116. Maragó O.M. Hopkins S.A. Arlt J. Hodby E. Hechenblaikner G. Foot C.J. Observation of the scissors mode and evidence for superfluidity of a trapped Bose-Einstein condensed gas Phys. Rev. Lett. 84 2000 2056
117. Guéry-Odelin D. Stringari S. Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas Phys. Rev. Lett. 83 1999 4452
118. Madison K.W. Chevy F. Wohlleben W. Dalibard J. Vortex formation in a stirred Bose-Einstein condensate Phys. Rev. Lett. 84 2000 806
119. Matthews M.R. Anderson B.P. Haljan P.C. Hall D.S. Wieman C.E. Cornell E.A. Vortices in a Bose-Einstein condensate Phys. Rev. Lett. 83 1999 2498
120. Leanhardt A.E. Görlitz A. Chikkatur A.P. Kielpinski D. Shin Y. Pritchard D.E. Ketterle W. Imprinting vortices in a Bose-Einstein condensate using topological phases Phys. Rev. Lett. 89 2002 190403
121. F. Chevy, K.W. Madison, V. Bretin, J. Dalibard, Formation of quantized vortices in a gaseous Bose-Einstein condensate, in: S. Atutov, C. Calabrese, L. Moi (Eds.), Proceedings of the Particles and Fundamental Physics Workshop (Les Houches 2001), Kluwer, Dordrecht, 2002.
122. Abo-Shaeer J.R. Raman C. Vogels J.M. Ketterle W. Observation of vortex lattices in Bose-Einstein condensate Science 292 2001 476
123. Fetter A.L. Svidzinsky A.A. Vortices in a trapped dilute Bose-Einstein condensate J. Phys.: Condens. Matter 13 2001 R135
124. Chevy F. Madison K.W. Dalibard J. Measurement of the angular momentum of a rotating Bose-Einstein condensate Phys. Rev. Lett. 85 2000 2223
125. Inouye S. Gupta S. Rosenband T. Chikkatur A.P. Görlitz A. Gustavson T.L. Leanhardt A.E. Pritchard D.E. Ketterle W. Observation of vortex phase singularities in Bose-Einstein condensates Phys. Rev. Lett. 87 2001 080402
126. Onofrio R. Raman C. Vogels J.M. Abo-Shaeer J.R. Chikkatur A.P. Ketterle W. Observation of superfluid flow in a Bose-Einstein condensed gas Phys. Rev. Lett. 85 2000 2228
127. Chikkatur A.P. Görlitz A. Stamper-Kurn D.M. Inouye S. Gupta S. Ketterle W. Suppression and enhancement of impurity scattering in a Bose-Einstein condensate Phys. Rev. Lett. 85 2000 483
128. Burger S. Cataliotti F.S. Fort C. Minardi F. Inguscio M. Chiofalo M.L. Tosi M.P. Superfluid and dissipative dynamics of a Bose-Einstein condensate in a periodic optical potential Phys. Rev. Lett. 86 2001 4447
129. F.S. Cataliotti, L. Fallani, F. Ferlaino, C. Fort, P. Maddaloni, M. Inguscio, A. Smerzi, A. Trombettoni, P.G. Kevrekidis, A.R. Bishop, A novel mechanism for superfluidity breakdown in weakly coupled Bose-Einstein condensates, Cond-mat/0207139.
130. Dahan M.B. Peik E. Reichel J. Castin Y. Salomon C. Bloch oscillations of atoms in an optical potential Phys. Rev. Lett. 76 1996 4508
131. Peik E. Dahan M.B. Bouchoule I. Castin Y. Salomon C. Bloch oscillations of atoms, adiabatic rapid passage, and monokinetic atomic beams Phys. Rev. A 55 1997 2989
132. Greiner M. Bloch I. Mandel O. Hänsch T.W. Esslinger T. Exploring phase coherence in a 2D lattice of Bose-Einstein condensates Phys. Rev. Lett. 87 2001 160405
133. Berg-Sørensen K. Mølmer K. Bose-Einstein condensates in spatially periodic potentials Phys. Rev. A 58 1998 1480
134. Chiofalo M.L. Polini M. Tosi M.P. Collective excitations of a periodic Bose condensate in the Wannier representation Eur. Phys. J. D 11 2000 371
135. Chiofalo M.L. Succi S. Tosi M.P. Probing the energy bands of a Bose-Einstein condensate in a optical lattice Phys. Rev. A 63 2001 063613
136. M. Kraemer, C. Menotti, L.P. Pitaevskii, S. Stringari, Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations, Cond-mat/0305300.
137. Wu B. Niu Q. Nonlinear Landau-Zener tunneling Phys. Rev. A 61 2000 023402
138. Diakonov D. Jensen L.M. Pethick C.J. Smith H. Loop structure of the lowest Bloch band for a Bose-Einstein condensate Phys. Rev. A 66 2002 013604
139. Machholm M. Pethick C.J. Smith H. Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential Phys. Rev. A 67 2003 053613
140. Kohn W. Analytic properties of Bloch waves and Wannier functions Phys. Rev. 115 1959 809
141. Stenger J. Inouye S. Chikkatur A.P. Stamper-Kurn D.M. Pritchard D.E. Ketterle W. Bragg spectroscopy of a Bose-Einstein condensate Phys. Rev. Lett. 82 1999 4569
142. Steinhauer J. Ozeri R. Katz N. Davidson N. Excitation spectrum of a Bose-Einstein condensate Phys. Rev. Lett. 88 2002 120407
143. Steinhauer J. Katz N. Ozeri R. Davidson N. Tozzo C. Dalfovo F. Bragg spectroscopy of the multibranch Bogoliubov spectrum of elongated Bose-Einstein condensates Phys. Rev. Lett. 90 2003 060404
144. Richard S. Gerbier F. Thywissen J.H. Hugbart P.B.M. Aspect A. Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates Phys. Rev. Lett. 91 2003 010405
145. Hagley E.W. Deng L. Kozuma M. Trippenbach M. Band Y.B. Edwards M. Doery M.R. Julienne P.S. Helmerson K. Rolston S.L. Phillips W.D. Measurement of the coherence of a Bose-Einstein condensate Phys. Rev. Lett. 83 1999 3112
146. Vignolo P. Akdeniz Z. Tosi M.P. Transmittivity of a Bose-Einstein condensate on a lattice: interference from period doubling and the effect of disorder J. Phys. B 36 2003 4535
147. Chiofalo M.L. Tosi M.P. Josephson-type oscillations of a driven Bose-Einstein condensate in an optical lattice Europhys. Lett. 56 2001 326
148. Cataliotti F.S. Burger S. Fort C. Maddaloni P. Minardi F. Trombettoni A. Smerzi A. Inguscio M. Josephson junction arrays with Bose-Einstein condensates Science 293 2001 843
149. Orzel C. Tuchman A.K. Fenselau M.L. Yasuda M. Kasevich M.A. Squeezed states in a Bose-Einstein condensate Science 291 2001 2386
150. Fisher M.P.A. Weichmann P.W. Grinstein G. Fisher D.S. Boson localization and the superfluid-insulator transition Phys. Rev. B 40 1989 546
151. Greiner M. Mandel O. Esslinger T. Hänsch T.W. Bloch I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms Nature 415 2002 39
152. Jaksch D. Bruder C. Cirac J.I. Zoller P. Cold bosonic atoms in optical lattices Phys. Rev. Lett. 81 1998 3108
153. Jaksch D. Briegel H.-J. Cirac J.I. Gardiner C.W. Zoller P. Entanglement of atoms via cold controlled collisions Phys. Rev. Lett. 82 1999 1975
154. Peil S. Porto J.V. Tolra B.L. Obrecht J.M. King B.E. Subbotin M. Rolston S.L. Phillips W.D. Patterned loading of a Bose-Einstein condensate into an optical lattice Phys. Rev. A 67 2003 051603
155. Mandel O. Greiner M. Widera A. Rom T. Hänsch T.W. Bloch I. Controlled collisions for multi-particle entanglement of optically trapped atoms Nature 425 2003 937
156. Demler E. Zhou F. Spinor bosonic atoms in optical lattices: symmetry breaking and fractionalization Phys. Rev. Lett. 88 2002 163001
157. Damski B. Santos L. Tiemann E. Lewenstein M. Kotochigova S. Julienne P. Zoller P. Creation of a dipolar superfluid in optical lattices Phys. Rev. Lett. 90 2003 110401
158. DeMarco B. Jin D.S. Onset of Fermi degeneracy in a trapped atomic gas Science 285 1999 1703
159. Truscott A.G. Strecker K.E. McAlexander W.I. Partridge G.B. Hulet R.G. Observation of Fermi pressure in a gas of trapped atoms Science 291 2001 2570
160. Timmermans E. Côté R. Superfluidity in sympathetic cooling with atomic Bose-Einstein condensates Phys. Rev. Lett. 80 1998 3419
161. 6Li Phys. Rev. Lett. 76 1996 10
162. Strecker K.E. Partridge G.B. Hulet R.G. Conversion of an atomic Fermi gas to a long-lived molecular Bose gas Phys. Rev. Lett. 91 2003 080406
163. Z. Hadzibabic, S. Gupta, C.A. Stan, C.H. Schunck, M.W. Zwierlein, K. Dieckmann, W. Ketterle, Fifty-fold improvement in the number of quantum degenerate fermionic atoms, Cond-mat/0306050.
164. Granade S.R. Gehm M.E. O'Hara K.M. Thomas J.E. All-optical production of a degenerate Fermi gas Phys. Rev. Lett. 88 2002 120405
165. Jochim S. Bartenstein M. Hendl G. Hecker-Denschlag J. Grimm R. Mosk A. Weidemüller M. Magnetic field control of elastic scattering in a cold gas of fermionic lithium atoms Phys. Rev. Lett. 89 2002 273202
166. Dieckmann K. Stan C.A. Gupta S. Hadzibabic Z. Schunck C.H. Ketterle W. Decay of an ultracold fermionic lithium gas near a Feshbach resonance Phys. Rev. Lett. 89 2002 203201
167. Schreck F. Khaykovich L. Corwin K.L. Ferrari G. Bourdel T. Cubizolles J. Salomon C. Quasipure Bose-Einstein condensate immersed in a Fermi sea Phys. Rev. Lett. 87 2001 080403
168. Gensemer S.D. Jin D.S. Transition from collisionless to hydrodynamic behavior in an ultracold Fermi gas Phys. Rev. Lett. 87 2001 173201
169. 87Rb mixture with attractive interaction Phys. Rev. Lett. 89 2002 150403
170. 87Rb Phys. Rev. A 65 2002 021402
171. Hadzibabic Z. Stan C.A. Dieckmann K. Gupta S. Zwierlein M.W. Görlitz A. Ketterle W. Two-species mixture of quantum degenerate Bose and Fermi gases Phys. Rev. Lett. 88 2002 160401
172. Shapiro S.L. Teukolsky S.A. Black Holes, White Dwarfs and Neutron Stars, The Physics of Compact Objects 1983 Wiley New York
173. Amoruso M. Meccoli I. Minguzzi A. Tosi M.P. Density profiles and collective excitations of a trapped two-component Fermi vapor Eur. Phys. J. D 8 2000 361
174. Vichi L. Stringari S. Collective oscillations of an interacting trapped Fermi gas Phys. Rev. A 60 1999 4734
175. DeMarco B. Jin D.S. Spin excitations in a Fermi gas of atoms Phys. Rev. Lett. 88 2002 040405
176. DeMarco B. Papp S.B. Jin D.S. Pauli blocking of collisions in a quantum degenerate atomic Fermi gas Phys. Rev. Lett. 86 2001 5409
177. Modugno G. Roati G. Riboli F. Ferlaino F. Brecha R.J. Inguscio M. Collapse of a degenerate Fermi gas Science 297 2002 2240
178. Modugno M. Ferlaino F. Riboli F. Roati G. Modugno G. Inguscio M. Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture Phys. Rev. A 68 2003 043626
179. Akdeniz Z. Vignolo P. Minguzzi A. Tosi M.P. Temperature dependence of density profiles for a cloud of noninteracting fermions moving inside a harmonic trap in one dimension Phys. Rev. A 66 2002 055601
180. 6Li in a magnetic trap Phys. Rev. A 56 1997 4864
181. Baranov M.A. Kagan Y. Kagan M.Y. On the possibility of a superfluid transition in a Fermi gas of neutral particles at ultralow temperatures Sov. Phys. JETP Lett. 64 1996 301
182. Efremov D.V. Viverit L. p-wave Cooper pairing of fermions in mixtures of dilute Fermi and Bose gases Phys. Rev. B 65 2002 134519
183. Heiselberg H. Pethick C. Smith H. Viverit L. Influence of induced interactions on the superfluid transition in dilute Fermi gases Phys. Rev. Lett. 85 2000 2418
184. Bijlsma M.J. Heringa B.A. Stoof H.T.C. Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction Phys. Rev. A 61 2000 053601
185. Nozières P. Schmitt-Rink S. Bose-condensation in an attractive fermion gas: from weak to strong coupling superconductivity J. Low Temp. Phys. 59 1985 195
186. Sá de Melo C.A.R. Randeria M. Engelbrecht J.R. Crossover from BCS to Bose superconductivity: transition temperature and time-dependent Ginzburg-Landau theory Phys. Rev. Lett. 71 1993 3202
187. Ohashi Y. Griffin A. BCS-BEC crossover in a gas of Fermi atoms with a Feshbach resonance Phys. Rev. Lett. 89 2002 130402
188. Törmä P. Zoller P. Laser probing of atomic Cooper pairs Phys. Rev. Lett. 85 2000 487
189. Baranov M.A. Petrov D.S. Low-energy collective excitations in a superfluid trapped Fermi gas Phys. Rev. A 62 2000 041601
190. Bruun G.M. Mottelson B.R. Low energy collective modes of a superfluid trapped atomic Fermi gas Phys. Rev. Lett. 87 2001 270403
191. Minguzzi A. Tosi M.P. Scissors mode in a superfluid Fermi gas Phys. Rev. A 63 2001 023609
192. Farine M. Schuck P. Vinas X. Moment of inertia of a trapped superfluid gas of atomic fermions Phys. Rev. A 62 2000 013608
193. Minguzzi A. Ferrari G. Castin Y. Dynamic structure factor of a superfluid Fermi gas Eur. Phys. J. D 17 2001 49
194. Menotti C. Pedri P. Stringari S. Expansion of an interacting Fermi gas Phys. Rev. Lett. 89 2002 250402
195. Perali A. Pieri P. Strinati G.C. Shrinking of a condensed fermionic cloud in a trap approaching the Bose-Einstein condensation limit Phys. Rev. A 68 2003 031601
196. Feshbach H. A unified theory of nuclear reactions Ann. Phys. (NY) 19 1962 287
197. Stwalley W.C. Stability of spin-aligned hydrogen at low temperatures and high magnetic fields: new field-dependent scattering resonances and predissociations Phys. Rev. Lett. 37 1976 1628
198. Tiesinga E. Verhaar B.J. Stoof H.T.C. Threshold and resonance phenomena in ultracold ground-state collisions Phys. Rev. A 47 1993 4114
199. Inouye S. Andrews M.R. Stenger J. Miesner H.J. Stamper-Kurn D.M. Ketterle W. Observation of Feshbach resonances in a Bose-Einstein condensate Nature 392 1998 151
200. Courteille P. Freeland R.S. Heinzen D.J. van Abeelen F.A. Verhaar B.J. Observation of a Feshbach resonance in cold atom scattering Phys. Rev. Lett. 81 1998 69
201. 85Rb Phys. Rev. Lett. 81 1998 5109
202. Vuletić V. Kerman A.J. Chin C. Chu S. Observation of low-field Feshbach resonances in collisions of cesium atoms Phys. Rev. Lett. 82 1999 1406
203. Strecker K.E. Partridge G.P. Truscott A.G. Hulet R.G. Formation and propagation of matter-wave soliton trains Nature 417 2002 150
204. Khaykovich L. Schreck F. Ferrari G. Bourdel T. Cubizolles J. Carr L.D. Castin Y. Salomon C. Formation of a matter-wave bright soliton Science 296 2002 1290
205. Donley E.A. Claussen N.R. Thompson S.T. Wieman C.E. Atom-molecule coherence in a Bose-Einstein condensat Nature 417 2002 529
206. Drummond P.D. Kheruntsyan K.V. Heinzen D.J. Wynar R.H. Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate Phys. Rev. A 65 2002 063619
207. Loftus T. Regal C.A. Ticknor C. Bohn J.L. Jin D.S. Resonant control of elastic collisions in an optically trapped Fermi gas of atoms Phys. Rev. Lett. 88 2002 173201
208. Regal C.A. Ticknor C. Bohn J.L. Jin D.S. Tuning p-wave interactions in an ultracold Fermi gas of atoms Phys. Rev. Lett. 90 2003 053201
209. 6Li Phys. Rev. A 66 2002 041401
210. Regal C.A. Jin D.S. Measurement of positive and negative scattering lengths in a Fermi gas of atoms Phys. Rev. Lett. 90 2003 230404
211. Regal C.A. Ticknor C. Bohn J.L. Jin D.S. Creation of ultracold
212. 2 molecules from a Fermi gas, Cond-mat/0308018.
213. L. Carr, G. Shlyapnikov, Y. Castin, Achieving a BCS transition in an atomic Fermi gas, Cond-mat/0308036.
214. M. Greiner, C.A. Regal, D.S. Jin, A molecular Bose-Einstein condensate emerges from a Fermi sea Cond-mat/0311172.
215. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J.H. Denschlag, R. Grimm, Bose-Einstein condensation of molecules, Science Express Science. 1093280.
216. Zwierlein M.W. Stan C.A. Schunck C.H. Raupach S.M.F. Gupta S. Hadzibabic Z. Ketterle W. Observation of Bose-Einstein condensation of molecules Phys. Rev. Lett. 91 2003 250401
217. O'Hara K.M. Hemmer S.L. Gehm M.E. Granade S.R. Thomas J.E. Observation of a strongly interacting degenerate Fermi gas of atoms Science 298 2002 2179
218. Kagan Y. Surkov E.L. Shlyapnikov G.V. Evolution of a Bose gas in anisotropic time-dependent traps Phys. Rev. A 55 1997 R18
219. Gehm M.E. Hemmer S.L. Granade S.R. O'Hara K.M. Thomas J.E. Mechanical stability of a strongly interacting Fermi gas of atoms Phys. Rev. A 68 2003 011401
220. Heiselberg H. Fermi systems with long scattering lengths Phys. Rev. A 63 2001 043606
221. Löwdin P.-O. Quantum theory of many-particle systems. I. Physical interpretations by means of density matrices, natural spin-orbitals, and convergence problems in the method of configurational interaction Phys. Rev. 97 1955 1474
222. Gross E.P. Structure of a quantized vortex in boson systems Nuovo Cimento 20 1961 451
223. Gross E.P. Hydrodynamics of a superfluid condensate J. Math. Phys. 4 1963 195
224. Pitaevskii L.P. Vortex lines in an imperfect Bose gas Sov. Phys. JETP 13 1961 451
225. Kolomeisky E.B. Newman T.J. Straley J.P. Qi X. Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation Phys. Rev. Lett. 85 2000 1146
226. Baym G. Pethick C.J. Ground-state properties of magnetically trapped Bose-condensed rubidium gas Phys. Rev. Lett. 76 1996 6
227. Cederbaum L.S. Streltsov A.I. Best mean-field for condensates Phys. Lett. A 318 2003 564
228. Nozières P. Saint James D. Particle versus pair condensation in attractive Bose liquids J. Phys. 43 1982 1133
229. Baym G. Topics in the microscopic theory of Bose-Einstein condensates J. Phys. B 34 2001 4541
230. Girardeau M.D. Wright E.M. Bose-Fermi variational theory of the Bose-Einstein condensate crossover to the Tonks gas Phys. Rev. Lett. 87 2001 210401
231. Thijssen J. Computational Physics 1999 Cambridge University Press Cambridge
232. Bao W. Tang W. Ground-state solution of Bose-Einstein condensate by directly minimizing the energy functional J. Comp. Phys. 187 2003 230
233. B. Dacorogna, Direct Methods in the Calculus of Variations, Vol. 78, Springer, Berlin, 1989, A functional F(φ) is said to be coercive if it obeys the property F(φ) ≥ a∥φ∥+b for each φ with a>0 and b∈ R. Here ∥...∥ denotes the norm in the corresponding functional space.0 and b∈ R. Here ∥...∥ denotes the norm in the corresponding functional space.
234. Troyon F. Gruber R. Saurenmann H. Semenzato S. Succi S. MHD-limits to plasma confinement Plasma Phys. Contr. Fusion 26 1984 209
235. Edwards M. Burnett K. Numerical solution of the nonlinear Schrödinger equation for small samples of trapped neutral atoms Phys. Rev. A 51 1995 1382
236. Adhikari S.K. Numerical study of the coupled time-dependent Gross-Pitaevskii equation: application to Bose-Einstein condensation Phys. Rev. E 63 2001 056704
237. Press W.H. Flannery B.P. Vetterling W.T. Teukolosky S.A. Numerical Recipes: The Art of Scientific Computing 1992 Cambridge University Press Cambridge
238. Chiofalo M.L. Succi S. Tosi M.P. Ground state of trapped interacting Bose-Einstein condensates by an explicit imaginary-time algorithm Phys. Rev. E 62 2000 7438
239. Dalfovo F. Stringari S. Bosons in anisotropic traps: ground state and vortices Phys. Rev. A 53 1996 2477
240. Lundh E. Pethick C.J. Smith H. Vortices in Bose-Einstein-condensed atomic clouds Phys. Rev. A 58 1998 4816
241. Bolda E.L. Walls D.F. Detection of vorticity in Bose-Einstein condensed gases by matter-wave interference Phys. Rev. Lett. 81 1998 5477
242. Castin Y. Dum R. Bose-Einstein condensates with vortices in rotating traps Eur. Phys. J. D 7 1999 399
243. Rokhsar D.S. Vortex stability and persistent currents in trapped Bose gases Phys. Rev. Lett. 79 1997 2164
244. Svidzinsky A.A. Fetter A.L. Stability of a vortex in a trapped Bose-Einstein condensate Phys. Rev. Lett. 84 2000 5919
245. Feder D.L. Clark C.W. Schneider B.I. Vortex stability of interacting Bose-Einstein condensates confined in anisotropic harmonic traps Phys. Rev. Lett. 82 1999 4956
246. Butts D.A. Rokhsar D.S. Predicted signatures of rotating Bose-Einstein condensates Nature 397 1999 327
247. García-Ripoll J.J. Pérez-García V.M. Vortex nucleation and hysteresis phenomena in rotating Bose-Einstein condensates Phys. Rev. A 63 2001 041603(R)
248. García-Ripoll J.J. Pérez-García V.M. Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates Phys. Rev. A 64 2001 053611
249. Aftalion A. Riviere T. Vortex energy and vortex bending for a rotating Bose-Einstein condensate Phys. Rev. A 64 2001 043611
250. Modugno M. Pricoupenko L. Castin Y. Bose-Einstein condensates with a bent vortex in rotating traps Eur. Phys. J. D 22 2003 235
251. Rosenbusch P. Bretin V. Dalibard J. Dynamics of a single vortex line in a Bose-Einstein condensate Phys. Rev. Lett. 89 2002 200403
252. Landau D. Binder K. A Guide to Monte Carlo Simulations in Statistical Physics 2001 Cambridge University Press Cambridge
253. Foulkes W.M.C. Mitas L. Needs R.J. Rajagopal G. Quantum Monte Carlo simulations of solids Rev. Mod. Phys. 73 2001 33
254. Giorgini S. Boronat J. Casulleras J. A diffusion Monte Carlo study of a dilute Bose gas Phys. Rev. A 60 1999 5129
255. Blume D. Greene C.H. Quantum corrections to the ground state of a trapped Bose-Einstein condensate: a diffusion Monte Carlo calculation Phys. Rev. A 63 2001 063601
256. Lee T.D. Huang K. Yang C.N. Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties Phys. Rev. 106 1957 1135
257. Cowell S. Heiselberg H. Mazets I.E. Morales J. Pandharipande V.R. Pethick C.J. Cold Bose gases with large scattering lengths Phys. Rev. Lett. 88 2002 210403
258. Braaten E. Hammer H.-W. Kusunoki M. Efimov states in a Bose-Einstein condensate near a Feshbach resonance Phys. Rev. Lett. 90 2003 170402
259. Braaten E. Hammer H.-W. Mehen T. Dilute Bose-Einstein condensate with large scattering length Phys. Rev. Lett. 88 2002 040401
260. Batrouni G.C. Rousseau V. Scalettar R.T. Rigol M. Muramatsu A. Denteneer P.J.H. Troyer M. Mott domains in confined optical lattices Phys. Rev. Lett. 89 2002 117203
261. Reppy J.D. Superfluid helium in porous media J. Low Temp. Phys. 87 1992 205
262. Huang K. Meng H.F. Hard-sphere Bose gas in random external potentials Phys. Rev. Lett. 69 1992 644
263. Giorgini S. Pitaevskii L. Stringari S. Effects of disorder in a dilute Bose gas Phys. Rev. B 49 1994 12938
264. Astrakharchik G.E. Boronat J. Casulleras J. Giorgini S. Superfluidity vs. Bose-Einstein condensation in a Bose gas with disorder Phys. Rev. A 66 2002 023603
265. 4He at negative pressure Phys. Rev. B 50 1994 3427
266. Gordillo M.C. Ceperley D.M. Effect of disorder on the critical temperature of a dilute hard-sphere gas Phys. Rev. Lett. 85 2000 4735
267. Andersen J.O. Braaten E. Semiclassical corrections to a static Bose-Einstein condensate at zero temperature Phys. Rev. A 60 1999 2330
268. DuBois J.L. Glyde H.R. Bose-Einstein condensation in trapped bosons: a variational Monte Carlo analysis Phys. Rev. A 63 2001 023602
269. 85Rb gases at higher densities Phys. Rev. A 66 2002 063610
270. DuBois J.L. Glyde H.R. Natural orbitals and Bose-Einstein condensates in traps: a diffusion Monte Carlo analysis Phys. Rev. A 68 2003 033602
271. Fabrocini A. Polls A. Bose-Einstein condensates in the large-gas-parameter regime Phys. Rev. A 64 2001 063610
272. Lewart D.S. Pandharipande V.R. Pieper S.C. Single-particle orbitals in liquid-helium drops Phys. Rev. B 37 1988 4950
273. Fabrocini A. Polls A. Beyond the Gross-Pitaevskii approximation: local density versus correlated basis approach for trapped bosons Phys. Rev. A 60 1999 2319
274. Mazzanti F. Polls A. Fabrocini A. Energy and structure of dilute hard- and soft-sphere gases Phys. Rev. A 67 2003 063615
275. Tonks L. The complete equation of state of one, two and three-dimensional gases of hard elastic spheres Phys. Rev. 50 1936 955
276. Girardeau M.D. Relationship between systems of impenetrable bosons and fermions in one dimension J. Math. Phys. 1 1960 516
277. Girardeau M.D. Permutation symmetry of many-particle wave functions Phys. Rev. 139 1965 B500
278. Lenard A. One-dimensional impenetrable bosons in thermal equilibrium J. Math. Phys. 7 1966 1268
279. H. Moritz, T. Stöferle, M. Köhl, T. Esslinger, Exciting collective oscillations in a trapped 1D gas, Cond-mat/0307607.
280. Lieb E.H. Liniger W. Exact analysis of an interacting Bose gas. I. The general solution and the ground state Phys. Rev. 130 1963 1605
281. Petrov D.S. Shlyapnikov G.V. Walraven J.T.M. Regimes of quantum degeneracy in trapped 1D gases Phys. Rev. Lett. 85 2000 3745
282. Dunjko V. Lorent V. Olshanii M. Bosons in cigar-shaped traps: Thomas-Fermi regime, Tonks-Girardeau regime, and in between Phys. Rev. Lett. 86 2001 5413
283. Blume D. Fermionization of a bosonic gas under highly elongated confinement: a diffusion quantum Monte Carlo study Phys. Rev. A 66 2002 053613
284. Astrakharchik G.E. Giorgini S. Quantum Monte Carlo study of the three- to one-dimensional crossover for a trapped Bose gas Phys. Rev. A 66 2002 053614
285. Lapeyre Jr. J.G. Girardeau M.D. Wright E.M. Momentum distribution for a one-dimensional trapped gas of hard-core bosons Phys. Rev. A 66 2002 023606
286. Astrakharchik G.E. Giorgini S. Correlation functions and momentum distribution of one-dimensional Bose systems Phys. Rev. A 68 2003 031602
287. Minguzzi A. Vignolo P. Tosi M.P. High momentum tail in the Tonks gas under harmonic confinement Phys. Lett. A 294 2002 222
288. Sachdev S. Quantum Phase Transitions 1999 Cambridge University Press Cambridge
289. van Oosten S. van der Straten P. Stoof H.T.C. Quantum phases in an optical lattice Phys. Rev. A 63 2001 053601
290. Rey A.M. Burnett K. Roth R. Edwards M. Williams C.J. Clark C.W. Bogoliubov approach to superfluidity of atoms in an optical lattice J. Phys. B 36 2003 825
291. Büchler H.P. Blatter G. Zwerger W. Commensurate-incommensurate transition of cold atoms in optical lattices Phys. Rev. Lett. 90 2003 130401
292. Roth R. Burnett K. Superfluidity and interference pattern of ultracold bosons in optical lattices Phys. Rev. A 67 2003 031602
293. Kashurnikov V.A. Prokof'ev N.V. Svistunov B.V. Revealing superfluid-Mott insulator transition in an optical lattice Phys. Rev. A 66 2002 031601
294. Tobochnik J. Batrouni G.C. Gould H. Quantum Monte Carlo on a lattice Comp. Phys. 6 1992 673
295. Chiofalo M.L. Minguzzi A. Tosi M.P. Time-dependent linear response of an inhomogeneous Bose superfluid: microscopic theory and connection to current-density functional theory Physica B 254 1998 188
296. Potter D. Computational Physics 1973 Wiley London
297. K.C. Kulander (Ed.), Time-dependent Methods for Quantum Mechanics; Comput. Phys. Commun. 63 (1991) 1.
298. Visscher P. A fast explicit algorithm for the time-dependent Schrödinger equation Comp. Phys. 5 6 1991 596
299. Frenkel D. Smit B. Understanding Molecular Simulations 2001 Academic San Diego
300. Kosloff R. Time-dependent quantum-mechanical methods for molecular-dynamics J. Phys. Chem. 92 1988 2087
301. Cerimele M.M. Pistella F. Chiofalo M.L. Succi S. Tosi M.P. Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: an application to Bose-Einstein condensates Phys. Rev. E 62 2000 1382
302. Benzi R. Succi S. Vergassola M. The lattice Boltzmann equation: theory and applications Phys. Rep. 222 1992 145
303. Succi S. Benzi R. Lattice Boltzmann equation for quantum mechanics Physica D 69 1993 327
304. Succi S. Numerical solution of the Schrödinger equation using discrete kinetic theory Phys. Rev. E 63 1996 1969
305. Succi S. Lattice quantum mechanics: an application to Bose-Einstein condensation Int. J. Mod. Phys. C 9 1998 1557
306. Adhikari S.K. Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions Phys. Rev. E 62 2000 2937
307. Cerboneschi E. Mannella R. Arimondo E. Salasnich L. Oscillation frequencies for a Bose condensate in a triaxial magnetic trap Phys. Lett. A 249 1998 495
308. Salasnich L. Parola A. Reatto L. Pulsed macroscopic quantum tunneling of falling Bose-Einstein condensates Phys. Rev. A 64 2001 023601
309. Muruganandam P. Adhikari S.K. Bose-Einstein condensation dynamics in three dimensions by pseudo-spectral and finite-difference methods J. Phys. B 36 2003 2501
310. Bao W. Jaksch D. Markowich P. Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation J. Comp. Phys. 187 2003 318
311. Edwards M. Ruprecht P.A. Burnett K. Dodd R.J. Clark C.W. Collective excitations of atomic Bose-Einstein condensates Phys. Rev. Lett. 77 1996 1671
312. Pérez-García V.M. Michinel H. Cirac J.I. Lewenstein M. Zoller P. Low energy excitations of a Bose-Einstein condensate: a time-dependent variational analysis Phys. Rev. Lett. 77 1996 5320
313. Stringari S. Collective excitations of a trapped Bose-condensed gas Phys. Rev. Lett. 77 1996 2360
314. Wallis H. Röhrl A. Naraschewski M. Schenzle A. Phase-space dynamics of Bose condensates: interference versus interaction Phys. Rev. A 55 1997 2109
315. Chiofalo M.L. Succi S. Tosi M.P. Output coupling of Bose condensates from atomic tunnel arrays: a numerical study Phys. Lett. A 260 1999 86
316. Chiofalo M.L. Polini M. Tosi M.P. Coherent transport in a Bose-Einstein condensate inside an optical lattice Laser Phys. 12 2002 50
317. Cardenas M. Chiofalo M.L. Tosi M.P. Matter wave dynamics in an optical lattice: decoherence of Josephson-type oscillations from the Gross-Pitaevskii equation Physica B 322 2002 116
318. Gardiner S.A. Jaksch D. Dum R. Cirac J.I. Zoller P. Nonlinear matter wave dynamics with a chaotic potential Phys. Rev. A 62 2000 023612
319. M. Polini, R. Fazio, M.P. Tosi, J. Sinova, A.H. MacDonald, Frustration of a Bose gas inside an optical lattice, Laser Phys., in press.
320. Recati A. Zambelli F. Stringari S. Overcritical rotation of a trapped Bose-Einstein condensate Phys. Rev. Lett. 86 2001 377
321. Sinha S. Castin Y. Dynamic instability of a rotating Bose-Einstein condensate Phys. Rev. Lett. 87 2001 190402
322. Dalfovo F. Stringari S. Shape deformations and angular-momentum transfer in trapped Bose-Einstein condensates Phys. Rev. A 63 2001 011601
323. Tsubota M. Kasamatsu K. Ueda M. Vortex lattice formation in a rotating Bose-Einstein condensate Phys. Rev. A 65 2002 023603
324. Penckwitt A.A. Ballagh R.J. Gardiner C.W. Nucleation, growth, and stabilization of Bose-Einstein condensate vortex lattices Phys. Rev. Lett. 89 2002 260402
325. Lobo C. Sinatra A. Castin Y. Vortex crystallization in classical field theory Phys. Rev. Lett. 92 2004 020403
326. Jackson B. McCann J.F. Adams C.S. Vortex formation in dilute inhomogeneous Bose-Einstein condensates Phys. Rev. Lett. 80 1998 3903
327. Bretin V. Rosenbusch P. Chevy F. Shlyapnikov G.V. Dalibard J. Quadrupole oscillation of a single-vortex Bose-Einstein condensate: evidence for Kelvin modes Phys. Rev. Lett. 90 2003 100403
328. Mizushima T. Ichioka M. Machida K. Beliaev damping and Kelvin mode spectroscopy of a Bose-Einstein condensate in the presence of a vortex line Phys. Rev. Lett. 90 2003 180401
329. L.O. Baksmaty, S.J. Woo, S. Choi, N.P. Bigelow, Tkachenko waves in rapidly rotating Bose-Einstein condensates, Cond-mat/0307368.
330. Coddington I. Engels P. Schweikhard V. Cornell E.A. Observation of Tkachenko oscillations in rapidly rotating Bose-Einstein condensates Phys. Rev. Lett. 91 2003 100402
331. Baym G. Tkachenko modes of vortex lattices in rapidly rotating Bose-Einstein condensates Phys. Rev. Lett. 91 2003 110402
332. Choi Y. Javainen J. Koltracht I. Kostrun M. Kenna M. Savystka N. A fast algorithm for the solution of the time-independent Gross-Pitaevskii equation J. Comp. Phys. 190 2003 1
333. Engels P. Coddington I. Haljan P.C. Schweikhard V. Cornell E.A. Observation of long-lived vortex aggregates in rapidly rotating Bose-Einstein condensates Phys. Rev. Lett. 90 2003 170405
334. T.P. Simula, A.A. Penckwitt, R.J. Ballagh, Giant vortex lattice deformations in rapidly rotating Bose-Einstein condensates, Cond-mat/0307130.
335. Fedichev P.O. Muryshev A.E. Shlyapnikov G.V. Dissipative dynamics of a kink state in a Bose-condensed gas Phys. Rev. A 60 1999 3220
336. Pu H. Law C.K. Eberly J.H. Bigelow N.P. Coherent disintegration and stability of vortices in trapped Bose condensates Phys. Rev. A 59 1999 1533
337. García-Ripoll J.J. Molina-Terriza G. Pérez-García V.M. Torner L. Structural instability of vortices in Bose-Einstein condensates Phys. Rev. Lett. 87 2001 140403
338. Fedichev P.O. Shlyapnikov G.V. Dissipative dynamics of a vortex state in a trapped Bose-condensed gas Phys. Rev. A 60 1999 R1779
339. Williams J.E. Holland M.J. Preparing topological states of a Bose-Einstein condensate Nature 401 1999 568
340. Pu H. Bigelow N.P. Properties of two-species Bose condensates Phys. Rev. Lett. 80 1998 1130
341. Pu H. Bigelow N.P. Collective excitations, metastability, and nonlinear response of a trapped two-species Bose-Einstein condensate Phys. Rev. Lett. 80 1998 1134
342. Savage C. Ruostekoski J. Energetically stable particle-like skyrmions in a trapped Bose-Einstein condensate Phys. Rev. Lett. 91 2003 010403
343. Kohler S. Sols F. Oscillatory decay of a two-component Bose-Einstein condensate Phys. Rev. Lett. 89 2002 060403
344. García-Ripoll J.J. Pérez-García V.M. Sols F. Split vortices in optically coupled Bose-Einstein condensates Phys. Rev. A 66 2002 021602
345. Battye R.A. Cooper N. Sutcliffe P. Stable skyrmions in two-component Bose-Einstein condensates Phys. Rev. Lett. 88 2002 080401
346. Öheberg P. Santos L. Dark solitons in a two-component Bose-Einstein condensate Phys. Rev. Lett. 86 2001 2918
347. Matthews M.R. Anderson B.P. Haljan P.C. Hall D.S. Wieman C.E. Cornell E.A. Watching a superfluid untwist itself: recurrence of Rabi oscillations in a Bose-Einstein condensate Phys. Rev. Lett. 83 1999 3358
348. F. Sols, Josephson effect between Bose condensates, in: M. Inguscio, S. Stringari, C.E. Wieman (Eds.), Bose Einstein Condensation in Atomic Gases, Proceedings of the International School "Enrico Fermi", IOP Press, Amsterdam, 1999.
349. Lifshitz E.M. Pitaevskii L.P. Statistical Physics, Part 2 1980 Pergamon Oxford
350. Kagan Y. Shlyapnikov G.V. Walraven J.T.M. Bose-Einstein condensation in trapped atomic gases Phys. Rev. Lett. 76 1996 2670
351. Bradley C.C. Sackett C.A. Hulet R.G. Bose-Einstein condensation of lithium: observation of limited condensate number Phys. Rev. Lett. 78 1997 985
352. Roberts J.L. Claussen N.R. Cornish S.L. Donley E.A. Cornell E.A. Wieman C.E. Controlled collapse of a Bose-Einstein condensate Phys. Rev. Lett. 86 2001 4211
353. Ruprecht P.A. Holland M.J. Burnett K. Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms Phys. Rev. A 51 1995 4704
354. Eleftheriou A. Huang K. Instability of a Bose-Einstein condensate with an attractive interaction Phys. Rev. A 61 2000 043601
355. Savage C.M. Robins N.P. Hope J.J. Bose-Einstein condensate collapse: a comparison between theory and experiment Phys. Rev. A 67 2003 014304
356. Pitaevskii L.P. Dynamics of collapse of a confined Bose gas Phys. Lett. A 221 1996 14
357. Shuryak E.V. Metastable Bose condensate made of atoms with attractive interaction Phys. Rev. A 54 1996 3151
358. Stoof H.T.C. Macroscopic quantum tunneling of a Bose condensate J. Stat. Phys. 87 1997 1353
359. Ueda M. Leggett A.J. Macroscopic quantum tunneling of a Bose-Einstein condensate with attractive interaction Phys. Rev. Lett. 80 1998 1576
360. Kagan Y. Muryshev A.E. Shlyapnikov G.V. Collapse and Bose-Einstein condensation in a trapped Bose gas with negative scattering length Phys. Rev. Lett. 81 1998 933
361. Gerton J.M. Strekalov D. Prodan I. Hulet R.G. Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions Nature 408 2000 692
362. Donley E.A. Claussen N.R. Cornish S.L. Roberts J.L. Cornell E.A. Wieman C.E. Dynamics of collapsing and exploding Bose-Einstein condensates Nature 412 2001 295
363. Esry B.D. Greene C.H. Burke J.P. Recombination of three atoms in the ultracold limit Phys. Rev. Lett. 83 1999 1751
364. Saito H. Ueda M. Intermittent implosion and pattern formation of trapped Bose-Einstein condensates with an attractive interaction Phys. Rev. Lett. 86 2001 1406
365. Al Khawaja U. Stoof H.T.C. Hulet R.G. Strecker K.E. Partridge G.B. Bright soliton trains of trapped Bose-Einstein condensates Phys. Rev. Lett. 89 2002 200404
366. Salasnich L. Parola A. Reatto L. Modulational instability and complex dynamics of confined matter-wave solitons Phys. Rev. Lett. 91 2003 080405
367. Tai K. Hasegawa A. Tomita A. Observation of modulational instability in optical fibers Phys. Rev. Lett. 56 1986 135
368. Girardeau M.D. Wright E.M. Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons Phys. Rev. Lett. 84 2000 5239
369. Minguzzi A. Vignolo P. Chiofalo M.L. Tosi M.P. Hydrodynamic excitations in a spin-polarized Fermi gas under harmonic confinement in one dimension Phys. Rev. A 64 2001 033605
370. J.N. Fuchs, X. Leyronas, R. Combescot, Collective modes of a trapped Lieb-Liniger gas: a hydrodynamic approach, Cond-mat/0309276.
371. Vignolo P. Minguzzi A. Tosi M.P. Light scattering from a degenerate quasi-one-dimensional confined gas of non-interacting fermions Phys. Rev. A 64 2001 023421
372. Csordás A. Graham R. Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps Phys. Rev. A 59 1999 1477
373. Stringari S. Dynamics of Bose-Einstein condensed gases in highly deformed traps Phys. Rev. A 58 1998 2385
374. Ho T.-L. Ma M. Quasi 1D and 2D dilute Bose gas in magnetic traps: existence of off-diagonal order and anomalous quantum fluctuations J. Low Temp. Phys. 115 1999 61
375. Menotti C. Stringari S. Collective oscillations of a one-dimensional trapped Bose-Einstein gas Phys. Rev. A 66 2002 043610
376. Minguzzi A. Conti S. Tosi M.P. The internal energy and condensate fraction of a trapped interacting Bose gas J. Phys.: Condens. Matter 9 1997 L33
377. Dalfovo F. Giorgini S. Guilleumas M. Pitaevskii L. Stringari S. Collective and single-particle excitations of a trapped Bose gas Phys. Rev. A 56 5 1997 3840
378. Holzmann M. Krauth W. Naraschewski M. Precision Monte Carlo test of the Hartree-Fock approximation for a trapped Bose gas Phys. Rev. A 59 1999 2956
379. Minguzzi A. Vignolo P. Tosi M.P. Momentum distribution of an interacting Bose-Einstein condensed gas at finite temperature Phys. Rev. A 62 2000 023604
380. Bayindir M. Tanatar B. Bose-Einstein condensation in a two-dimensional, trapped interacting gas Phys. Rev. A 58 1998 3134
381. Amoruso M. Minguzzi A. Stringari S. Tosi M.P. Vichi L. Temperature-dependent density profiles of trapped boson-fermion mixtures Eur. Phys. J. D 4 1998 261
382. Ceperley D.M. Path integrals in the theory of condensed helium Rev. Mod. Phys. 67 1995 279
383. Krauth W. Quantum Monte Carlo calculations for a large number of bosons in a harmonic trap Phys. Rev. Lett. 77 1996 3695
384. Holzmann M. Castin Y. Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate Eur. Phys. J. D 7 2000 425
385. Suzuki M. Relationship between d-dimensional quantal spin systems and (d+1)-dimensional Ising systems, Equivalence, critical exponents and systematic approximants of the partition function and spin correlations Prog. Theor. Phys. 56 1976 1454
386. Batrouni G.G. Scalettar R.T. World-line quantum Monte Carlo algorithm for a one-dimensional Bose model Phys. Rev. B 46 1992 9051
387. Prokof'ev N. Svistunov B. Tupitsyn I.S. Exact quantum Monte Carlo process for the statistics of discrete systems Pis'ma v Zh.Eks. Teor. Fiz. 64 1996 853
388. Holzmann M. Krauth W. Transition temperature of the homogeneus weakly interacting Bose gas Phys. Rev. Lett. 83 1999 2687
389. Kashurnikov V.A. Prokof'ev N.V. Svistunov B.V. Critical temperature shift in weakly interacting Bose gas Phys. Rev. Lett. 87 2001 120402
390. Kosterlitz J.M. Thouless D.J. Ordering, metastability and phase transition in two-dimensional models J. Phys. C 6 1973 1181
391. Kosterlitz J.M. The critical properties of the two-dimensional XY model J. Phys. C 7 1974 1046
392. Swendsen R. Wang J.-S. Nonuniversal critical dynamics in Monte Carlo simulations Phys. Rev. Lett. 58 1987 86
393. Prokof'ev N.V. Svistunov B.V. Worm algorithms for classical statistical mechanics Phys. Rev. Lett. 87 2001 160601
394. Prokof'ev N.V. Ruebenacker O. Svistunov B.V. Critical point of a weakly interacting two-dimensional Bose gas Phys. Rev. Lett. 87 2001 270402
395. Prokof'ev N.V. Svistunov B.V. Two-dimensional weakly interacting Bose gas in the fluctuation region Phys. Rev. A 66 2002 043608
396. Nelson D. Kosterlitz J.M. Universal jump in the superfluid density of two-dimensional superfluids Phys. Rev. Lett. 39 1977 1201
397. Dodd R.J. Edwards M. Clark C.W. Burnett K. Collective excitations of Bose-Einstein-condensed gas at finite temperature Phys. Rev. A 57 1998 R32
398. Fedichev P.O. Shlyapnikov G.V. Finite-temperature perturbation theory for a spatially inhomogeneous Bose-condensed gas Phys. Rev. A 58 1998 3146
399. Giorgini S. Collisionless dynamics of dilute Bose gases: role of quantum and thermal fluctuations Phys. Rev. A 61 2000 063615
400. Reidl J. Bene G. Graham R. Szépfalusy P. Kohn mode for trapped Bose gases within the dielectric formalism Phys. Rev. A 63 2001 043605
401. Minguzzi A. Tosi M.P. Linear density response in the random phase approximation for confined Bose vapours at finite temperature J. Phys.: Condens. Matter 9 1997 10211
402. X.-J. Liu, H. Hu, A. Minguzzi, M.P. Tosi, Collective oscillations of a confined Bose gas at finite temperature in the random phase approximation, Cond-mat/0311411.
403. Jackson B. Zaremba E. Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases Phys. Rev. Lett. 87 2001 100404
404. Jackson B. Zaremba E. Modeling Bose-Einstein condensed gases at finite temperatures with N-body simulations Phys. Rev. A 66 2002 033606
405. Vignolo P. Chiofalo M.L. Succi S. Tosi M.P. Explicit finite-difference and particles method for the dynamics of mixed Bose-condensate and cold-atom clouds J. Comp. Phys. 182 2002 368
406. Keown K.M. Stochastic Simulation in Physics 1997 Springer Berlin
407. Maragó O. Hechenblaikner G. Hodby E. Foot C.J. Temperature dependence on damping and frequency shifts of the scissors mode of a trapped Bose-Einstein condensate Phys. Rev. Lett. 86 2001 3938
408. Nikuni T. Finite-temperature theory of the scissors mode in a Bose gas using the moment method Phys. Rev. A 65 2002 033611
409. Luiten O.J. Reynolds M.W. Walraven J.T.M. Kinetic theory of the evaporative cooling of trapped gases Phys. Rev. A 53 1996 381
410. Mandonnet E. Minguzzi A. Dum R. Carusotto I. Castin Y. Dalibard J. Evaporative cooling of an atomic beam Eur. Phys. J. D 10 2000 9
411. Davis M.J. Morgan S.A. Burnett K. Simulations of Bose fields at finite temperature Phys. Rev. Lett. 87 2001 160402
412. Umezawa H. Advanced Field Theory: Micro, Macro, and Thermal Physics 1993 AIP Press New York
413. Dorfman J.R. An Introduction to Chaos in Nonequilibrium Statistical Mechanics 1999 Cambridge University Press Cambridge
414. Sinatra A. Lobo C. Castin Y. Classical-field method for time-dependent Bose-Einstein condensation Phys. Rev. Lett. 87 2001 210404
415. Sinatra A. Lobo C. Castin Y. The truncated Wigner approach or classical field method for Bose-condensed gases: limits of validity and applications J. Phys. B 35 2002 3599
416. Carusotto I. Castin Y. Dalibard J. N-boson time-dependent problem: a reformulation with stochastic wavefunctions Phys. Rev. A 63 2001 023606
417. Carusotto I. Castin Y. Condensate statistics in one-dimensional interacting Bose gases: exact results Phys. Rev. Lett. 90 2003 030401
418. Berloff N.G. Svistunov B.V. Scenario of strongly nonequilibrated Bose-Einstein condensation Phys. Rev. A 66 2002 013603
419. Jancel R. de Broglie L. Foundations of Classical and Quantum Statistical Mechanics 1969 Pergamon Oxford
420. Jaksch D. Gardiner C.W. Zoller P. Quantum kinetic theory. II. Simulation of the quantum Boltzmann master equation Phys. Rev. A 56 1997 575
421. Gardiner C.W. Zoller P. Quantum kinetic theory. III. Quantum kinetic master equation for strongly condensed trapped systems Phys. Rev. A 58 1 1998 536
422. Jaksch D. Gardiner C.W. Gheri K.M. Zoller P. Quantum kinetic theory. IV. Intensity and amplitude fluctuations of a Bose-Einstein condensate at finite temperature including trap loss Phys. Rev. A 58 2 1998 1450
423. Gardiner C.W. Zoller P. Quantum kinetic theory. V. Quantum kinetic master equation for mutual interaction of condensate and noncondensate Phys. Rev. A 61 2000 033601
424. Lee M.D. Gardiner C.W. Quantum kinetic theory. VI. The growth of a Bose-Einstein condensate Phys. Rev. A 62 2000 033606
425. Davis M.J. Gardiner C.W. Ballagh R.J. Quantun kinetic theory. VII. The influence of vapor dynamics on condensate growth Phys. Rev. A 62 2000 063608
426. Gardiner C.W. Lee M.D. Ballagh R.J. Davis M.J. Zoller P. Quantum kinetic theory of condensate growth: comparison of experiment and theory Phys. Rev. Lett. 81 1998 5266
427. Yamashita M. Koashi M. Imoto N. Quantum kinetic theory for evaporative cooling of trapped atoms: growth of Bose-Einstein condensate Phys. Rev. A 59 1999 2243
428. Bijlsma M.J. Zaremba E. Stoof H.T.C. Condensate growth in trapped Bose gases Phys. Rev. A 62 2000 063609
429. Köhl M. Davis M.J. Gardiner C.W. Hänsch T.W. Esslinger T. Growth of Bose-Einstein condensates from thermal vapor Phys. Rev. Lett. 88 2002 080402
430. Holland M.J. Williams J. Coakley K. Cooper J. Trajectory simulation of kinetic equations for classical systems Quantum Semiclass. Opt. 8 1996 571
431. Hofbauer J. Sigmund K. Evolutionary Games and Population Dynamics 1998 Cambridge University Press Cambridge
432. Succi S. Castiglione F. Bernaschi M. Collective dynamics in the immune system response Phys. Rev. Lett. 79 1997 4493
433. Holland M.J. Williams J. Cooper J. Bose-Einstein condensation: kinetic evolution obtained from simulated trajectories Phys. Rev. A 55 1997 3670
434. Paul W. Baschnagel J. Stochastic Processes from Physics to Finance 1999 Springer Berlin
435. Yamashita M. Koashi M. Mitsunaga M. Imoto N. Mukai T. Optimization of evaporative cooling towards a large number of Bose-Einstein-condensed atoms Phys. Rev. A 67 2003 023601
436. Geist W. You L. Kennedy T.A.B. Sympathetic cooling of an atomic Bose-Fermi gas mixture Phys. Rev. A 59 1999 1500
437. Geist W. Idrizbegovic A. Marinescu M. Kennedy T.A.B. You L. Evaporative cooling of trapped fermionic atoms Phys. Rev. A 61 2000 013406
438. Holland M.J. DeMarco B. Jin D.S. Evaporative cooling of a two-component degenerate Fermi gas Phys. Rev. A 61 2000 053610
439. Geist W. Kennedy T.A.B. Evaporative cooling of mixed atomic fermions Phys. Rev. A 65 2002 063617
440. Michler P. Single Quantum Dots: Fundamentals, Applications, and New Concepts 2003 Springer Berlin
441. P.B. van Zyl, D.A.W. Hutchinson, Charged two-dimensional quantum gas in a uniform magnetic field at finite temperature, Phys. Rev. B 69.
442. March N.H. Nieto L.M. Analytical relations between kinetic-energy and particle densities for one-dimensional harmonically confined Fermi vapors Phys. Rev. A 63 2001 044502
443. Brack M. van Zyl B.P. Simple analytical particle and kinetic energy densities for a dilute fermionic gas in a D-dimensional harmonic trap Phys. Rev. Lett. 86 2001 1574
444. Brack M. Murthy M.V.N. Harmonically trapped fermion gases: exact and asymptotic results in arbitrary dimensions J. Phys. A 36 2003 1111
445. van Zyl B.P. Bhaduri R.K. Suzuki A. Brack M. Some exact results for a trapped quantum gas at finite temperature Phys. Rev. A 67 2003 023609
446. B.P. van Zyl, Exact first-order density matrix for a D-dimensional harmonically confined Fermi gas at finite temperature, Cond-mat/0306320.
447. Vignolo P. Minguzzi A. Tosi M.P. Exact particle and kinetic-energy densities for one-dimensional confined gases of noninteracting fermions Phys. Rev. Lett. 85 2000 2850
448. Vignolo P. Minguzzi A. Tosi M.P. Degenerate gases under harmonic confinement in one dimension: rigorous results in the impenetrable-bosons/spin-polarized fermions limit J. Mod. Phys. B 16 2002 2161
449. Farchioni R. Grosso G. Vignolo P. Density of states for energy-dependent effective Hamiltonians Phys. Rev. B 62 2000 12565
450. Minguzzi A. Vignolo P. Tosi M.P. Momentum flux density, kinetic energy density, and their fluctuations for one-dimensional confined gases of noninteracting fermions Phys. Rev. A 63 2001 063604
451. Farchioni R. Grosso G. Pastori Parravicini G. Renormalization approach for transport and electronic properties of conducting polymers Phys. Rev. B 53 1996 4294
452. Vignolo P. Minguzzi A. Shell structure in the density profiles for non-interacting fermions in anisotropic harmonic confinement Phys. Rev. A 67 2003 053601
453. Akdeniz Z. Vignolo P. Minguzzi A. Tosi M.P. Temperature dependence of density profiles for a cloud of noninteracting fermions moving inside a harmonic trap in one dimension Phys. Rev. A 66 2002 055601
454. Wilets L. Cohen J. Fermion molecular dynamics in atomic, molecular, and optical physics Contemp. Phys. 39 1998 163
455. Feldmeier H. Schnack J. Molecular dynamics for fermions Rev. Mod. Phys. 72 2000 655
456. Toschi F. Vignolo P. Succi S. Tosi M.P. Dynamics of trapped two-component Fermi gas: temperature dependence of the transition from collisionless to collisional regime Phys. Rev. A 67 2003 041605
457. Wu H. Foot C.J. Direct simulation of evaporative cooling J. Phys. B 29 1996 L321
458. Nikuni T. Zaremba E. Griffin A. Two-fluid dynamics for a Bose-Einstein condensate out of local equilibrium with the noncondensate Phys. Rev. Lett. 83 1999 10
459. Amoruso M. Meccoli I. Minguzzi A. Tosi M.P. Collective excitations of a degenerate Fermi vapour in a magnetic trap Eur. Phys. J. D7 1999 441
460. F. Toschi, P. Capuzzi, S. Succi, P. Vignolo, M.P. Tosi, Transition to hydrodynamics in colliding fermion clouds, Cond-mat/0310644.
461. Nettesheim P. Bornemann F.A. Schmidt B. Schütte C. An explicit and symplectic integrator for quantum-classical molecular dynamics Chem. Phys. Lett. 256 1996 581
462. S. Succi, F. Toschi, P. Capuzzi, P. Vignolo, M.P. Tosi, A particle-dynamics study of dissipation in colliding clouds of ultracold fermions, Philos. Trans. R. Soc., in press.
463. Akdeniz Z. Vignolo P. Tosi M.P. Collective dynamics of fermion clouds in cigar-shaped traps Phys. Lett. A 311 2003 246
464. Mølmer K. Bose condensates and Fermi gases at zero temperature Phys. Rev. Lett. 80 1998 1804
465. Nygaard N. Mølmer K. Component separation in harmonically trapped boson-fermion mixtures Phys. Rev. A 59 1999 2974
466. Akdeniz Z. Minguzzi A. Vignolo P. Tosi M.P. Demixing in mesoscopic boson-fermion clouds inside cylindrical harmonic traps: quantum phase diagram and role of temperature Phys. Rev. A 66 2002 013620
467. Akdeniz Z. Vignolo P. Minguzzi A. Tosi M.P. Phase separation in a boson-fermion mixture of lithium atoms J. Phys. B 35 2002 L105
468. Capuzzi P. Minguzzi A. Tosi M.P. Collective excitations of a trapped boson-fermion mixture across demixing Phys. Rev. A 67 2003 053605
469. Capuzzi P. Minguzzi A. Tosi M.P. Collective excitations in trapped boson-fermions mixtures: from demixing to collapse Phys. Rev. A 68 2003 033605
470. Miyakawa T. Suzuki T. Yabu H. Sum-rule approach to collective oscillations of a boson-fermion mixed condensate of alkali atoms Phys. Rev. A 62 2000 063613
471. Liu X.-J. Hu H. Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures Phys. Rev. A 67 2003 023613
472. Capuzzi P. Hernández E.S. Zero-sound density oscillations in Fermi-Bose mixtures Phys. Rev. A 64 2001 043607
473. Sogo T. Miyakawa T. Suzuki T. Yabu H. Random-phase approximation study of collective excitations in the Bose-Fermi mixed condensate of alkali-metal gases Phys. Rev. A 66 2002 013618
474. von Weizsäcker C.F. Zur theorie der kernmassen Z. Phys. 96 1935 431
475. Capuzzi P. Minguzzi A. Tosi M.P. Dynamic versus thermodynamic signatures of quantum demixing under confinement Laser Phys. 14 2004 307
476. Miyakawa T. Suzuki T. Yabu H. Induced instability for boson-fermion mixed condensate of alkali atoms due to attractive boson-fermion interaction Phys. Rev. A 64 2001 033611
477. Roth R. Feldmeier H. Mean-field instability of trapped dilute boson-fermion mixtures Phys. Rev. A 65 2002 021603
478. Roth R. Structure and stability of trapped atomic boson-fermion mixtures Phys. Rev. A 66 2002 013614
479. Viverit L. Pethick C.J. Smith H. Zero-temperature phase diagram of binary boson-fermion mixtures Phys. Rev. A 61 2000 053605
480. Minguzzi A. Tosi M.P. Schematic phase diagram and collective excitations in the collisional regime for trapped boson-fermion mixtures at zero temperature Phys. Lett. A 268 2000 142
481. Akdeniz Z. Minguzzi A. Vignolo P. Demixing of boson-fermion clouds under harmonic confinement Laser Phys. 13 2003 577
482. Ferlaino F. Brecha R.J. Hannaford P. Riboli F. Roati G. Modugno G. Inguscio M. Dipolar oscillations in a quantum degenerate Fermi-Bose atomic mixture J. Opt. B 5 2003 S3
483. March N.H. Tosi M.P. Quantum theory of pure liquid metals as two-component systems Ann. Phys. (NY) 81 1973 414
484. Dodd R.J. Edwards M. Williams C.J. Clark C.W. Holland M.J. Ruprecht P.A. Burnett K. Role of attractive interactions on Bose-Einstein condensation Phys. Rev. A 54 1996 661
485. 40K mixture approaching collapse, J. Phys. B 37 (2004) S73.
486. Hu H. Liu X.-J. Thermodynamics of a trapped Bose-Fermi mixture Phys. Rev. A 68 2003 023608
487. P. Capuzzi, A. Minguzzi, M. Tosi, Collisional oscillations of trapped boson-fermion mixtures approaching collapse, Cond-mat/0401331.
488. Perali A. Pieri P. Strinati G.C. Castellani C. Pseudogap and spectral function from superconducting fluctuations to the bosonoc limit Phys. Rev. B 66 2002 024510
489. Micnas R. Ranninger J. Robaszkiewicz S. Superconductivity in narrow-band systems with local nonretarded attractive interactions Rev. Mod. Phys. 62 1990 113
490. Hofstetter W. Cirac J.I. Zoller P. Demler E. Lukin M.D. High-temperature superfluidity of fermionic atoms in optical lattices Phys. Rev. Lett. 89 2002 220407
491. M. Rodríguez, P. Törmä, Bloch oscillations in Fermi gases, Cond-mat/0303634.
492. Holland M. Kokkelmans S.J.J.M.F. Chiofalo M.L. Walser R. Resonance superfluidity in a quantum degenerate Fermi gas Phys. Rev. Lett. 87 2001 120406
493. Timmermans E. Tommasini P. Hussein M. Kerman A.K. Feshbach resonances in atomic Bose-Einstein condensates Phys. Rep. 315 1999 199
494. Chiofalo M.L. Kokkelmans S.J.J.M.F. Milstein J.N. Holland M.J. Signatures of resonance superfluidity in a quantum Fermi gas Phys. Rev. Lett. 88 2002 090402
495. Ohashi Y. Griffin A. Superfluid transition temperature in a trapped gas of Fermi atoms with a Feshbach resonance Phys. Rev. A 67 2003 033603
496. Ranninger J. Robaszkiewicz S. Superconductivity of locally paired electrons Physica B 135 1985 468
497. Marini M. Pistolesi F. Strinati G.C. Evolution from BCS superconductivity to Bose condensation: analytic results for the crossover in three dimensions Eur. Phys. J. B 1 1998 151
498. Papenbrock T. Bertsch G.F. Pairing in low-density Fermi gases Phys. Rev. C 59 1999 2052
499. Carlson J. Chang S.-Y. Pandharipande V.R. Schmidt K.E. Superfluid Fermi gases with large scattering length Phys. Rev. Lett. 91 2003 050401
500. D.M. Ceperley, Path integral Monte Carlo methods for fermions, in: K. Binder, G. Ciccotti (Eds.), Monte Carlo and Molecular Dynamics of Condensed Matter Systems, Vol. 49, Springer, Berlin, 1996, p. 443.
501. + J. Chem. Phys. 63 1975 1499
502. Engelbrecht J.R. Randeria M. Sá de Melo C.A.R. BCS to Bose crossover: broken-symmetry state Phys. Rev. B 55 1997 15153
503. L. Viverit, S. Giorgini, L.P. Pitaevskii, S. Stringari, Momentum distribution of a trapped Fermi gas with large scattering length, Cond-mat/0307538.
504. Ohashi Y. Griffin A. Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance Phys. Rev. A 67 2003 063612
505. Modugno G. Ferlaino F. Heidemann R. Roati G. Inguscio M. Production of a Fermi gas of atoms in an optical lattice Phys. Rev. A 68 2003 011601
506. de Gennes P. Superconductivity of Metals and Alloys 1966 Addison-Wesley New York
507. Ranninger J. Robin J.-M. Eschrig M. Superfluid precursor effects in a model of hybridized bosons and fermions Phys. Rev. Lett. 74 1995 4027
508. J. Stajic, J.N. Milstein, Q. Chen, M.L. Chiofalo, M.J. Holland, K. Levin, The nature of superfluidity in ultracold Fermi gases near Feshbach resonances, Cond-mat/0309329.
509. c cuprates Phys. Chem. Liq. 37 1999 547
510. 8 Phys. Rev. Lett. 70 1993 2012
511. c superconductors Phys. Rev. Lett. 84 2000 5200
512. Ren H.-C. An analytical approach to the pseudogap in boson-fermion model and its possible relevance to cuprate superconductors Physica C 303 1998 115
513. c superconductors Phys. Rev. Lett. 83 1999 3709
514. Loktev V.M. Quick R.M. Sharapov S.G. Phase fluctuations and pseudogap phenomena Phys. Rep. 349 2001 1
515. Singer J.M. Pedersen M.H. Scheider T. Bech H. Matuttis H.-G. From BCS-like superconductivity to condensation of local pairs: a numerical study of the attractive Hubbard model Phys. Rev. B 54 1996 1286
516. White S.R. Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 69 1992 2863
517. White S.R. Numerical renormalization group for finite Hubbard lattices Phys. Rev. B 45 1992 5752
518. Kavoulakis G.M. Baym G. Rapidly rotating Bose-Einstein condensates in anharmonic potentials New J. Phys. 5 2003 51.1
519. Ho T.-L. Bose-Einstein condensates with large number of vortices Phys. Rev. Lett. 87 2001 060403
520. G. Baym, C.J. Pethick, Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates, Cond-mat/0308325.
521. O'Dell D.H.J. Giovanazzi S. Kurizki G. Rotons in gaseous Bose-Einstein condensates irradiated by a laser Phys. Rev. Lett. 90 2003 110402
522. Santos L. Shlyapnikov G.V. Lewenstein M. Roton-maxon spectrum and stability of trapped dipolar Bose-Einstein condensates Phys. Rev. Lett. 90 2003 250403
523. Butov L.V. Exciton condensation in coupled quantum wells Solid State Commun. 127 2003 89
524. P.L. Knight, E.A. Hinds, M.B. Plenio (Eds.), Practical realization of quantum information processing, Philos. Trans. R. Soc. 361 (2003) 1321.
525. Vinen W.F. Quantum turbulence Physica B 329 2003 191
526. Kozik E. Svistunov B.V. Kelvin wave cascade and decay of superfluid turbulence Phys. Rev. Lett. 92 2004 035301
527. 4He Phys. Rev. B 62 2000 11751
528. Volovik G.E. Superfluid analogies of cosmological phenomena Phys. Rep. 351 2001 195
529. Garay L.J. Anglin J.R. Cirac J.I. Zoller P. Sonic analog of gravitational black holes in Bose-Einstein condensates Phys. Rev. Lett. 85 2000 4643
530. Lopreore C.L. Wyatt R.E. Quantum wave packet dynamics with trajectories Phys. Rev. Lett. 82 1999 5190
531. de Fabritiis G. Succi S. Coveney P.V. Electronic structure calculations using self-adaptive Voronoi basis functions J. Stat. Phys. 107 2002 143
532. C.A. Regal, M. Greiner, D.S. Jin, Observation of resonance condensation of fermionic atom pairs, cond-mat/0401554.
533. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S.J.J.M.F. Kokkelmans, C. Salomon, Experimental study of the BEC-BCS crossover region in lithium 6, cond-mat/0403091.
534. J. Kinast, S.L. Hemmer, M.E. Gehm, A. Turlapov, J.E. Thomas, Evidence for superfluidity in a resonantly interacting Fermi gas, cond-mat/0403540.
535. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. Hecker Denschlag, R. Grimm, Collective excitations of a degenerate gas at the BEC-BCS crossover, cond-mat/0403716.