Atom-molecule coherence in Bose gases

Physics Reports

Volumn 396, Issue 3, 2004, Pages 115-195

  Duine, R A ^a   Stoof, H T C ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Bose Einstein condensation; Coherent matter waves; Feshbach resonance; Many body theory

Indexed keywords

EID: 2342582616     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2004.03.003     Document Type: Review

References (120)

1. Anderson M.H. Ensher J.R. Matthews M.R. Wieman C.E. Cornell E.A. Science 269 1995 198
2. Dalfovo F. Giorgini S. Pitaevskii L.P. Stringari S. Rev. Mod. Phys. 71 1999 463
3. Leggett A.J. Rev. Mod. Phys. 73 2001 307
4. Pethick C.J. Smith H. Bose-Einstein Condensation in Dilute Gases 2002 Cambridge University Press Cambridge
5. Pitaevskii L.P. Stringari S. Bose-Einstein Condensation 2003 Oxford University Press Oxford
6. Inouye S. Andrews M.R. Stenger J. Miesner H.-J. Stamper-Kurn D.M. Ketterle W. Nature 392 1998 151
7. Feshbach H. Ann. Phys. 19 1962 287
8. Levin F.S. Feshbach H. Reaction Dynamics 1973 Gordon and Breach New York
9. Stwalley W.C. Phys. Rev. Lett. 37 1976 1628
10. Tiesinga E. Verhaar B.J. Stoof H.T.C. Phys. Rev. A 47 1993 4114
11. Courteille Ph. Freeland R.S. Heinzen D.J. van Abeelen F.A. Verhaar B.J. Phys. Rev. Lett. 81 1998 69
12. Roberts J.L. Claussen N.R. Burke J.P.Jr. Greene C.H. Cornell E.A. Wieman C.E. Phys. Rev. Lett. 81 1998 5109
13. Vuletić V. Kerman A.J. Chin C. Chu S. Phys. Rev. Lett. 82 1999 1406
14. Marte A. Volz T. Schuster J. Dürr S. Rempe G. van Kempen E.G.M. Verhaar B.J. Phys. Rev. Lett. 89 2002 283202
15. Strecker K.S. Partridge G.B. Truscott A.G. Hulet R.G. Nature 417 2002 150
16. Dieckmann K. Stan C.A. Gupta S. Hadzibabic Z. Schunck C.H. Ketterle W. Phys. Rev. Lett. 89 2002 203201
17. O'Hara K.M. Hemmer S.L. Gehm M.E. Granade S.R. Thomas J.E. Science 298 2002 2179
18. Jochim S. Bartenstein M. Hendl G. Hecker Denschlag J. Grimm R. Mosk A. Weidemüller M. Phys. Rev. Lett. 89 2002 273202
19. Regal C.A. Jin D.S. Phys. Rev. Lett. 90 2003 230404
20. Bourdel T. Cubizolles J. Khaykovich L. Magalhaes K.M.F. Kokkelmans S.J.J.M.F. Shlyapnikov G.V. Salomon C. Phys. Rev. Lett. 91 2003 020402
21. Ruprecht P.A. Holland M.J. Burnett K. Edwards M. Phys. Rev. A 51 1995 4704
22. Shuryak E.V. Phys. Rev. A 54 1996 3151
23. Stoof H.T.C. J. Stat. Phys. 87 1997 1353
24. Houbiers M. Stoof H.T.C. Phys. Rev. A 54 1996 5055
25. Bergeman T. Phys. Rev. A 55 1997 3658
26. C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75 (1995) 1687
27. Bradley C.C. Sackett C.A. Hulet R.G. Phys. Rev. Lett. 78 1997 985
28. Duine R.A. Stoof H.T.C. Phys. Rev. A 65 2002 013603
29. Sackett C.A. Stoof H.T.C. Hulet R.G. Phys. Rev. Lett. 80 1998 2031
30. Sackett C.A. Gerton J.M. Welling M. Hulet R.G. Phys. Rev. Lett. 82 1999 876
31. Gerton J.M. Strekalov D. Prodan I. Hulet R.G. Nature 408 2000 692
32. Cornish S.L. Claussen N.R. Roberts J.L. Cornell E.A. Wieman C.E. Phys. Rev. Lett. 85 2000 1795
33. Roberts J.L. Claussen N.R. Cornish S.L. Donley E.A. Cornell E.A. Wieman C.E. Phys. Rev. Lett. 86 2001 4211
34. Donley E.A. Claussen N.R. Cornish S.L. Roberts J.L. Cornell E.A. Wieman C.E. Nature 412 2001 295
35. Kagan Yu. Muryshev A.E. Shlyapnikov G.V. Phys. Rev. Lett. 81 1998 933
36. Ueda M. Huang K. Phys. Rev. A 60 1999 3317
37. Eleftheriou A. Huang K. Phys. Rev. A 61 2000 43601
38. S.K. Adhikari, Phys. Lett. A 296 (2002) 145
39. Adhikari S.K. Phys. Rev. A 66 2002 013611
40. Saito H. Ueda M. Phys. Rev. A 65 2002 033624
41. Santos L. Shlyapnikov G.V. Phys. Rev. A 66 2002 011602(R)
42. Bao, W. Jaksch, D. Markowich P.A. (cond-mat/0307344).
43. Duine R.A. Stoof H.T.C. Phys. Rev. Lett. 86 2001 2204
44. Duine R.A. Stoof H.T.C. Phys. Rev. A 68 2003 013602
45. Milstein J.N. Menotti C. Holland M.J. New. J. Phys. 5 2003 52
46. Al Khawaja U. Stoof H.T.C. Hulet R.G. Strecker K.E. Partridge G.B. Phys. Rev. Lett. 89 2002 200404
47. Mullin W.J. J. Low. Temp. Phys. 106 1997 615
48. Ho T.-L. Ma M. J. Low. Temp. Phys. 115 1999 61
49. Petrov D.S. Holzmann M. Shlyapnikov G.V. Phys. Rev. Lett. 84 2000 2551
50. Petrov D.S. Shlyapnikov G.V. Walraven J.T.M. Phys. Rev. Lett. 85 2000 3745
51. Petrov D.S. Shlyapnikov G.V. Walraven J.T.M. Phys. Rev. Lett. 87 2001 050404
52. Andersen J.O. Al Khawaja U. Stoof H.T.C. Phys. Rev. Lett. 88 2002 070407
53. Khaykovich L. Schreck F. Ferrari G. Bourdel T. Cubizolles J. Carr L.D. Castin Y. Salomon C. Science 296 2002 1290
54. Bardeen J. Cooper L.N. Schrieffer J.R. Phys. Rev. 108 1957 1175
55. Houbiers M. Ferwerda R. Stoof H.T.C. McAlexander W.I. Sackett C.A. Hulet R.G. Phys. Rev. A 56 1997 4864
56. Holland M. Kokkelmans S.J.J.M.F. Chiofalo M.L. Walser R. Phys. Rev. Lett. 87 2001 120406
57. Kokkelmans S.J.J.M.F. Milstein J.N. Chiofalo M.L. Walser R. Holland M.J. Phys. Rev. A 65 2002 053617
58. Milstein J.N. Kokkelmans S.J.J.M.F. Holland M.J. Phys. Rev. A 66 2002 043604
59. Ohashi Y. Griffin A. Phys. Rev. Lett. 89 2002 130402
60. Ohashi Y. Griffin A. Phys. Rev. A 67 2003 033603
61. Ohashi Y. Griffin A. Phys. Rev. A 67 2003 063612
62. Combescot R. New. J. Phys. 5 2003 86
63. Combescot R. Phys. Rev. Lett. 83 1999 3766
64. Heiselberg H. Pethick C.J. Smith H. Viverit L. Phys. Rev. Lett. 85 2000 2418
65. Nozières P. Schmitt-Rink S. J. Low. Temp. Phys. 59 1985 195
66. Regal C.A. Ticknor C. Bohn J.L. Jin D.S. Nature 424 2003 47
67. Strecker K.E. Partridge G.B. Hulet R.G. Phys. Rev. Lett. 91 2003 080406
68. Xu K. Mukaiyama T. Abo-Shaeer J.R. Chin J.K. Miller D.E. Ketterle W. Phys. Rev. Lett. 91 2003 210402
69. Jochim, S. Bartenstein, M. Altmeyer, A. Hendl, G. Riedl, S. Chin, C. Hecker J. Denschlag, Grimm, R. Science (2003) 1093280.
70. Greiner M. Regal C.A. Jin D.S. Nature 426 2003 537
71. Zwierlein M.W. Stan C.A. Schunck C.H. Raupach S.M.F. Gupta S. Hadzibabic Z. Ketterle W. Phys. Rev. Lett. 91 2003 250401
72. Falco G.M. Duine R.A. Stoof H.T.C. Phys. Rev. Lett. 92 2003
73. Donley E.A. Claussen N.R. Thompson S.T. Wieman C.E. Nature 417 2002 529
74. Drummond P.D. Kheruntsyan K.V. He H. Phys. Rev. Lett. 81 1998 3055
75. Timmermans E. Tommasini P. Côté R. Hussein M. Kerman A. Phys. Rev. Lett. 83 1999 2691
76. Claussen N.R. Donley E.A. Thompson S.T. Wieman C.E. Phys. Rev. Lett. 89 2002 010401
77. Moerdijk A.J. Boesten H.M.J.M. Verhaar B.J. Phys. Rev. A 53 1996 916
78. Fedichev P.O. Reynolds M.W. Shlyapnikov G.V. Phys. Rev. Lett. 77 1996 2921
79. Esry B.D. Greene C.H. Burke J.P.Jr. Phys. Rev. Lett. 83 1999 1751
80. Braaten E. Hammer H.-W. Phys. Rev. Lett. 87 2001 160407
81. Roberts J.L. Claussen N.R. Cornish S.L. Wieman C.E. Phys. Rev. Lett. 85 2000 728
82. Mackie M. Suominen K.-A. Javanainen J. Phys. Rev. Lett. 89 2002 180403
83. Kokkelmans S.J.J.M.F. Holland M.J. Phys. Rev. Lett. 89 2002 180401
84. Claussen N.R. Kokkelmans S.J.J.M.F. Thompson S.T. Donley E.A. Wieman C.E. Phys. Rev. A 67 2003 060701(R)
85. Duine R.A. Stoof H.T.C. Phys. Rev. Lett. 91 2003 150405
86. Duine R.A. Stoof H.T.C. New. J. Phys. 5 2003 69
87. Timmermans E. Tommasini P. Hussein H. Kerman A. Phys. Rep. 315 1999 199
88. Köhler T. Gasenzer T. Burnett K. Phys. Rev. A 67 2003 013601
89. Duine R.A. Stoof H.T.C. J. Opt. B: Quantum Semiclass. Opt. 5 2003 S212
90. K.V. Kheruntsyan, P.D. Drummond, Phys. Rev. A 58 (1998) 2488
91. K.V. Kheruntsyan, P.D. Drummond, Phys. Rev. A 58 (1998) R2676
92. Kheruntsyan K.V. Drummond P.D. Phys. Rev. A 61 2000 063816
93. Calsamiglia J. Mackie M. Suominen K.-A. Phys. Rev. Lett. 87 2001 160403
94. Mackie M. Phys. Rev. A 66 2002 043613
95. Köhler T. Gasenzer T. Julienne P. Burnett K. Phys. Rev. Lett. 91 2003 230401
96. Köhler, T. Goral K. (cond-mat/0305060).
97. Sakurai J.J. Modern Quantum Mechanics 1994 Addison-Wesley New-York
98. Bransden B.H. Joachain C.J. Introduction to Quantum Mechanics 1989 Longman Scientific & Technical Harlow
99. GSee, for instance, H.T.C. Stoof, L.P.H. de Goey, W.M.H.M. Rovers, P.S.M. Kop Jansen, B.J. Verhaar, Phys. Rev. A 38 (1988) 1248.
100. A similar example is briefly discussed in Ref. [55]. A more formal treatment of a Feshbach resonance in atomic scattering is discussed in Ref. [85].
101. Kleinert H. Fort. Phys. 26 1978 565 and references therein
102. Negele J.W. Orland H. Quantum Many-Particle Systems 1988 Addison-Wesley New York
103. Stoof H.T.C. Kaiser R. Westbrook C. David F. Coherent Atomic Matter Waves 2001 219 Springer Berlin
104. Stoof H.T.C. Bijlsma M. Houbiers M. J. Res. Natl. Inst. Stand. Technol. 101 1996 443
105. O'Hara K.M. Hemmer S.L. Granade S.R. Gehm M.E. Thomas J.E. Venturi V. Tiesinga E. Williams C.J. Phys. Rev. A 66 2002 041401
106. Bijlsma M. Stoof H.T.C. Phys. Rev. A 54 1996 5085
107. van Kempen E.G.M. Kokkelmans S.J.J.M.F. Heinzen D.J. Verhaar B.J. Phys. Rev. Lett. 88 2002 093201
108. For the case of a fermionic gas near a Feshbach resonance, see Ref. [58] for a similar discussion.
109. Petrov, D.S. Salomon, C. Shlyapnikov G.V. (cond-mat/0309010).
110. Romans, M.W.J. Duine, R.A. Sachdev, S. Stoof H.T.C. (cond-mat/0312446).
111. See also S.J.J.M.F. Kokkelmans, G.V. Shlyapnikov, C. Salomon, Phys. Rev. A 69 (2004) 031602.
112. Sachdev, S. private communication.
113. Chin C. Kerman A.J. Vuletić V. Chu S. Phys. Rev. Lett. 90 2003 033201
114. Goldstone J. Nuovo Cimento 19 1961 154
115. Bogoliubov N.N. J. Phys. (Moscow) 11 1947 23
116. Hilfer R. Applications of Fractional Calculus in Physics 2000 World Scientific Singapore
117. Proukakis N.P. Burnett K. J. Res. Nat. Inst. Stand. Technol. 101 1996 457
118. Proukakis N.P. Burnett K. Stoof H.T.C. Phys. Rev. A 57 1998 1230
119. Bijlsma M. Stoof H.T.C. Phys. Rev. A 55 1997 498
120. Stoof H.T.C. J. Low Temp. Phys. 114 1999 11