Strong correlation effects and quantum information theory of low dimensional atomic gases

Journal De Physique. IV : JP

Volumn 116, Issue , 2004, Pages 135-168

  Paredes, B ^a   Garcia Ripoll J J ^a   Zoller, P ^b   Cirac, J I ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^b UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC BEAMS; COMPUTATIONAL METHODS; DEGREES OF FREEDOM (MECHANICS); EXCITONS; HAMILTONIANS; OPTICAL CORRELATION; PHASE TRANSITIONS; TOPOLOGY;

ATOMIC GASES; OPTICAL LATTICES; QUANTUM COMPUTATIONS; QUANTUM INFORMATION THEORY;

QUANTUM THEORY;

EID: 7044271118     PISSN: 11554339     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1051/jp4:2004116005     Document Type: Conference Paper

References (62)

1. Pitaevskii L. and Stringari S., Bose-Einstein condensation. Oxford Univ. Press, 2003.
2. Stenger J., Inouye S., Miesner H.-J., Andrews M.R., Stamper-Kurn D.M., and Ketterle W., Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances. Phys. Rev. Lett., 82:2422-2425, 1999.
3. Madison K.W., Chevy F., Wohlleben W. and Dalibard J., Vortex formation in a stirred Bose-Einstein condensate. Phys. Rev. Lett., 84:806, 2000.
4. Abo-Shaeer J.R., Raman C., Vogels J.M. and Ketterle W., Observation of vortex lattices is Bose-Einstein condensates. Science, 292:476-479, 2001.
5. Feder D.L., Svidzinsky A.A., Fetter A.L., and Clark C.W., Anomalous modes drive vortex dynamics in confined Bose-Einstein condensates. Phys. Rev. Lett, 86:564, 2001.
6. Butts D.A. and Rokhsar D.S., Predicted signatures of rotating Bose-Einstein condensates. Nature, 397:327-329, 1999.
7. Wilkin N.K. and Gunn J.M.F., Condensation of "composite bosons" in a rotating BEC. Phys. Rev. Lett, 84:6, 2000.
8. Paredes B., Fedichev P., Cirac J.I. and Zoller P., 1/2-anyons in small atomic Bose-Einstein condensates. Phys. Rev. Lett, 87:10402, 2001.
9. Cooper N.R., Wilkin N.K. and Gunn J.M.F., Quantum phases of vortices in rotating Bose-Einstein condensates. Phys. Rev. Lett, 87:120405, 2001.
10. Jackson A.D., Kavoulakis G.M., Mottelson B. and Reimann S.M., Weakly interacting Bose-Einstein condensates under rotation: Mean field versus exact solutions. Phys. Rev. Lett, 86:945, 2001.
11. Sinova J., Hanna C.B. and MacDonald A.H., Quantum melting and absence of Bose-Einstein condensation in two-dimensionsal vortex matter. Phys. Rev. Lett, 89:030403, 2002.
12. Chakraborty T. and Pietiläinen P., The Quantum Hall Effects: Fractional and Integral. Springer-Verlag, Berlin, 1995.
13. Girvin S.M., The quantum hall effect: Novel excitations and broken symmetries, cond-mat/9907002, 1999.
14. Paredes B., Cirac J.I. and Zoller P., Fermionizing a small gas of ultracold bosons. Phys. Rev. A, 66:033609, 2002.
15. Kitaev A., Fault-tolerant quantum computation by anyons. quant-ph/9707021, 1997.
16. Freedman M.H.,Kitaev A., Larsen M.J. and Wang Z., Topological quantum computation, quant-ph/0101025, 2001.
17. Greiner M., Mandel O., Esslinger T., Hänsch T.W. and Bloch I., Quantum phase transition from a superfluid to a mott insulator in a gas of ultracold atoms. Nature, 415:39-44, 2002.
18. MacDonald A.M., Introdution to the physics of the quantum hall regime, cond-mat/9410047, 1994.
19. Laughlin R.B., Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett, 50:1395-1398, 1983.
20. Arovas D., Schrieffer J.R. and Wilczek F., Fractional statistics and the quantum Hall effect. Phys. Rev. Lett, 53:722-723, 1984.
21. Berry M.V., Proc. Soc. London, Ser. A, 392:45, 1984.
22. Jaksch D., Bruder C., Cirac J.I., Gardiner C.W. and Zoller P., Cold bosonic atoms in optical lattices. Phys. Rev. Lett., 81:3108-3111, 1998.
23. Olshanii M., Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons. Phys. Rev. Lett., 81:938-941, 1998.
24. Ashcroft N.W. and Mermin N.D., Solid State Physics. Saunders, 1976.
25. Zwerger W., Mott-Hubbard transition of cold atoms in optical lattices. Journal of Optics B: Quantum Semiclass. Opt., 5:S9-S16, 2003.
26. Cha M.-C., Fisher M.P.A., Girvin S.M.,Wallin M. and Young A.P., Universal conductivity of two-dimensional films at the superconductor-insulator transition. Phys. Rev. B, 44:6883, 1991.
27. Fisher M.P.A., Grinstein G. and Girvin S.M., Presence of quantum diffusion in two dimensions: Universal resistance at the superconductor-insulator transition. Phys. Rev. Lett., 64:587-590, 1990.
28. Fisher M.P.A., Quantum phase transitions in disordered two-dimensional superconductors. Phys. Rev. Lett., 65:923-926, 1990.
29. Chen B.Y., Mahanti S.D. and Yussouff M., Helium atoms in zeolite cages: Novel mott-hubbard and bose-hubbard systems. Phys. Rev. Lett., 75:473-477, 1995.
30. Fisher M.P.A., Weichman P.B., Grinstein G. and Fisher D.S., Boson localization and the superfluid-insulator transition. Phys. Rev. B, 40:546-570, 1989.
31. Sachdev S., Quantum Phase Transitions. Cambridge Univ. Press, Cambridge, 2001.
32. Rey A.M., Burnett K., Roth R., Edwards M., Williams C.J. and Clark C.W., Bogoliubov approach to superfluidity of atoms in an optical lattice. J. Phys. B, 36:825-841, 2003.
33. Roth R. and Burnett K., Superfluidity and interference pattern of ultracold bosons in optical lattices. Phys. Rev. A, 67:031602, 2003.
34. Landau L., Lifshitz L. and Pitaevskii L., Theoretical Physics, volume 9. Butterworth-Heinemann, 1980.
35. Greiner M., Mandel O., Hänsch T.W. and Bloch I., Collapse and revival of the matter wave field of a Bose-Einstein condensate. Nature, 419:51-54, (2002).
36. Damski B., Zakrzewski J., Santos L., Zoller P. and Lewenstein M., Atomic Bose and Anderson glasses in optical lattices. Phys. Rev. Lett., 91:080403, 2003.
37. Girardeau M., Relationship between systems of impenetrable bosons and fermions in one dimension. J. Math. Phys. (N. Y.), 1:516, 1960.
38. Paredes B. and Cirac J.I., From Cooper pairs to luttinger liquids with bosonic atoms in optical lattices. Phys. Rev. Lett., 90:150402, 2003.
39. Nielsen M.A. and Chuang I.L., Quantum Computation and Quantum Information. Cambridge Univ. Press, Cambridge, 2002.
40. Jaksch D., Briegel H.J., Cirac J.I., Gardiner C.W. and Zoller P., Entanglement of atoms via cold controlled collisions. Phys. Rev. Lett., 82:1975-1978, 1999.
41. Hemmerich A., Quantum entanglement in dilute optical lattices. Phys. Rev. A, 60:943-946, 1999.
42. Brennen G.K., Caves C.M., Jessen P.S. and Deutsch I.H., Quantum logic gates in optical lattices. Phys. Rev. Lett., 82:1060-1063, 1999.
43. Jaksch D., Cirac J.I., Zoller P., Rolston S.L., Côté R. and Lukin M.D., Fast quantum gates for neutral atoms. Phys. Rev. Lett., 85:2208-2211, 2000.
44. Duan L.-M., Cirac J.I. and Zoller P., Quantum entanglement in spinor Bose-Einstein condensates. Phys. Rev. A, 65:033619, 2002.
45. García-Ripoll J.J. and Cirac J.I., Quantum computation with unknown parameters. Phys. Rev. Lett., 90:127902, 2003.
46. Dorner U., Fedichev P., Jaksch D., Lewenstein M. and Zoller P., Entangling strings of neutral atoms in 1d atomic pipeline structures. Phys. Rev. Lett., 91:073601, 2003.
47. Briegel H.J. and Raussendorf R., Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett., 86:910-913, 2001.
48. Calarco T., Hinds E.A., Jaksch D., Schmiedmayer J., Cirac J.I. and Zoller P., Quantum gates with neutral atoms: Controlling collisional interactions in time-dependent traps. Phys. Rev. A, 61:022304, 2000.
49. Jane E., Vidai G., Dür W., Zoller P. and Cirac J.I., Simulation of quantum dynamics with quantum optical systems. Quantum Information and Computation, 3:15-37, 2003.
50. Galindo A. and Pascual P., Quantum Mechanics. Springer-Verlag, Berlin Heildelberg, 1990 edition, 1990.
51. García-Ripoll J.J., Pérez-García V.M. and Vekslerchik V., Construction of exact solutions by spatial translations in inhomogeneous nonlinear schrödinger equations. Phys. Rev. E, 64:056602, 2001.
52. Cohen-Tannoudji C., Diu B. and Laloë F., Quantum Mechanics. J. Wiley and Sons, 1978.
53. Raussendorf R. and Briegel H., A one-way quantum computer. Phys. Rev. Lett., 86:5188-5192, 2001.
54. Feynmann R.P., Simulating physics with computers. Int. J. Theor. Phys., 21:467-488, 1982.
55. Feynmann R.P., Quantum mechanical computers. Found. Phys., 16:507-531, 1986.
56. García-Ripoll J.J. and Cirac J.I., Spin dynamics for bosons in an optical lattice. New Journal of Physics, 5:76, 2003.
57. Sörensen A., Duan L.-M., Cirac J.I. and Zoller P., Many-particle entanglement with Bose-Eistein condensates. Nature, 409:63-66, 2001.
58. Hall D.S., Matthews M.R., Ensher J.R., Wieman C.E. and Cornell E.A., Dynamics of component separation in a binary mixture of Bose-Einstein condensates. Phys. Rev. Lett., 81:1539-1542, 1998.
59. Stenger J., Inouye S., Miesner H.-J., Stamper-Kurn D.M., Chikkatur A.P. and Ketterle W., Spin domains in ground-state Bose-Einstein condensates. Nature, 396:345-348, 1998.
60. Sinatra A. and Castin Y., Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics. Eur. Phys. J. D, 8:319-332, 2000.
61. Wineland D.J., Bollinger J.J., Itano W.M. and Heinzen D.J., Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A, 50:67-88, 1994.
62. Kitagawa M. and Ueda M., Squeezed spin states. Phys. Rev. A, 47:5138-5143, 1993.