Momentum distribution and correlation function of quasicondensates in elongated traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 516021-516024

  Gerbier, F ^a   Thywissen, J H ^a,b   Richard, S ^a   Hugbart, M ^a   Bouyer, P ^a   Aspect, A ^a  

^a CNRS   (France)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; FERMI LEVEL; FUNCTIONS; GASES; PHASE COMPOSITION;

QUASICONDENSATES;

ATOMIC PHYSICS;

EID: 0038783604     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (26)

1. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
2. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 87, 050404 (2001).
3. S. Dettmer et al., Phys. Rev. Lett. 87, 160406 (2001); D. Hellweg et al., Appl. Phys. B: Lasers Opt. 73, 781 (2001).
4. S. Dettmer et al., Phys. Rev. Lett. 87, 160406 (2001); D. Hellweg et al., Appl. Phys. B: Lasers Opt. 73, 781 (2001).
5. I. Schvarchuck et al., Phys. Rev. Lett. 89, 270404 (2002).
6. E.M. Lifshitz and L.P. Pitaevskii, Statistical Physics (Butterworth-Heinemann, London, 1980), Pt. 2.
7. S. Stringari, Phys. Rev. A 58, 2385 (1998).
8. It is necessary to improve Bogolubov theory [8,9] to obtain the equation of state in any dimensions, in the presence of phase fluctuations. For the specific problem we address in this paper, the long-wavelength formulation is sufficient.
9. J.O. Andersen, U. Al Khawaja, and H.T.C. Stoof, Phys. Rev. Lett. 88, 070407 (2002); U. Al Khawaja, J.O. Andersen, N.P. Proukakis, and H.T.C. Stoof, Phys. Rev. A 66, 013615 (2002).
10. J.O. Andersen, U. Al Khawaja, and H.T.C. Stoof, Phys. Rev. Lett. 88, 070407 (2002); U. Al Khawaja, J.O. Andersen, N.P. Proukakis, and H.T.C. Stoof, Phys. Rev. A 66, 013615 (2002).
11. C. Mora and Y. Castin, Phys. Rev. A (to be published).
12. B.W. Hagley et al., Phys. Rev. Lett. 83, 3112 (1999).
13. I. Bloch, T.W. Hänsch, and T. Esslinger, Nature (London) 403, 166 (2000).
14. C. Cohen-Tannoudji and C. Robilliard, C. R. Acad. Sci., Ser IV: Phys., Astrophys. 2, 445 (2001).
15. F. Zambelli, L. Pitaevskii, D.M. Stamper-Kurn, and S. Stringari, Phys. Rev. A 61, 063608 (2000).
16. J. Stenger, S. Inouye, A.P. Chikkatur, D.M. Stamper-Kurn, D.E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 82, 4569 (1999); D. Luxat and A. Griffin, Phys. Rev. A 67, 043603 (2003).
17. J. Stenger, S. Inouye, A.P. Chikkatur, D.M. Stamper-Kurn, D.E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 82, 4569 (1999); D. Luxat and A. Griffin, Phys. Rev. A 67, 043603 (2003).
18. S. Richard, F. Gerbier, J.H. Thywissen, M. Hugbart, P. Bouyer, and A. Aspect, Phys. Rev. Lett. (to be published).
19. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); D. Hellweg et al., e-print cond-mat/0303308.
20. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); D. Hellweg et al., e-print cond-mat/0303308.
21. E. Zaremba, Phys. Rev. A 57, 518 (1998); G.M. Kavoulakis and C.J. Pethick, ibid. 58, 1563 (1998).
22. E. Zaremba, Phys. Rev. A 57, 518 (1998); G.M. Kavoulakis and C.J. Pethick, ibid. 58, 1563 (1998).
23. We have also verified that, starting from the large; limit of the Jacobi polynomials, one can recover Eq. (9).
24. A.P. Chikkatur, A. Görlitz, D.M. Stamper-Kurn, S. Inouye, S. Gupta, and W. Ketterle, Phys. Rev. Lett. 87, 483 (2000).
25. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996); Yu. Kagan, E.L. Surkov, and G.V. Shlyapnikov, Phys. Rev. A 55, R18 (1997).
26. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996); Yu. Kagan, E.L. Surkov, and G.V. Shlyapnikov, Phys. Rev. A 55, R18 (1997).