Ground state of a weakly interacting Bose gas of atoms in a tight trap

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 53, Issue 2, 1996, Pages 909-915

  Lewenstein, Maciej ^a,b   You, Li ^a,b  

^a HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004762643     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.53.909     Document Type: Article

References (42)

1. C. Monroe, W. Swann, H. Robinson and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
2. H. F. Hess, G. P. Kochanski, J. M. Doyle, N. Masuhara, D. Kleppner and T. J. Greytak, Phys. Rev. Lett. 59, 672 (1987).
3. N. Masuhara, J. M. Doyle, J. C. Sandberg, D. Kleppner, T. J. Greytak, H. F. Hess and G. P. Kochanski, Phys. Rev. Lett. 61, 935 (1988).
4. R. van Roijen, J. J. Berkhout, S. Jaakkola, and J. T. M. Walraven, Phys. Rev. Lett. 61, 931 (1988).
5. R. J. C. Spreeuw, C. Gerz, Lori S. Goldner, W. D. Phillips, S. L. Rolston, C. I. Westbrook, M. W. Reynolds and Issac F. Silvera, Phys. Rev. Lett. 72, 3162 (1994).
6. W. Petrich, M. H. Anderson, J. R. Ensher and E. A. Cornell, Phys. Rev. Lett. 74, 3352 (1995).
7. K. B. Davis, M. O. Mewes, M. A. Joffe and W. Ketterle, Phys. Rev. Lett. 74, 5202 (1995).
8. C. S. Adams, H. J. Lee, N. Davidson, M. Kasevich and S. Chu, Phys. Rev. Lett., 74, 3577 (1995).
9. J. Opt. Soc. Am. B 6 (11) (1989), special issue on laser cooling and trapping of atoms, edited by S. Chu and C. Wieman.
10. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman and E. A. Cornell, Science 269, 189 (1995).
11. C. C. Bradley, C. A. Sackett, J. J. Tollet and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
12. D. G. Friend and R. D. Etters, J. Low Temp. Phys. 39, 409 (1980).
13. E. Tiesinga, Phys. Rev. A 48, 4801 (1994).
14. G. F. Gribakin and V. V. Flambaum, Phys. Rev. A 48, 546 (1993).
15. A. J. Moerdijk, W. C. Stwalley, R. G. Hulet and B. J. Verhaar, 72, 40 (1994).
16. A. J. Moerdijk and B. J. Verhaar, Phys. Rev. Lett. 73, 518 (1994).
17. R. Cote, A. Dalgarno and M. J. Jamieson, Phys. Rev. A 50, 399 (1994).
18. K. Huang, Statistical Mechanics (Wiley, New York, 1987).
19. S. Flugge, Practical Quantum Mechanics (Springer, New York, 1974).
20. T. D. Lee, K. Huang and C. N. Yang, Phys. Rev. 106, 1135 (1957).
21. V. Galitskii, Zh. Éksp. Teor. Fiz. 34, 151 (1958) [Sov. Phys. JETP 34, 104 (1958)].
22. S. T. Beliaev, Zh. Éksp. Teor. Fiz. 34, 417 (1958) [Sov. Phys. JETP 7, 289 (1958)].
23. see also N. M. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959).
24. In fact, the self-consistent approach, termed also the Hartree-Bogoliubov method, can be formulated directly within the framework of the T-matrix approximation [see K. A. Brueckner and K. Sawada, Phys. Rev. 106, 1117 (1957)]; alternatively, one can first derive the effective two-body potential and then treat its effects self-consistently; we adopt the latter approach in this paper.
25. H. T. C. Stoof, Phys. Rev. A 49, 3824 (1994).
26. J. I. Cirac, M. Lewenstein and P. Zoller, Phys. Rev. Lett. 72, 2977 (1994).
27. J. I. Cirac, M. Lewenstein and P. Zoller, Phys. Rev. Lett. 73, 2010(E) (1994).
28. J. I. Cirac, M. Lewenstein and P. Zoller, Phys. Rev. A 50, 3409 (1994)
29. J. I. Cirac, M. Lewenstein and P. Zoller, Phys. Rev. A 51, 2899 (1995).
30. M. Lewenstein, J. I. Cirac and P. Zoller, Phys. Rev. A. 51, 4617 (1995).
31. N. N. Bogoliubov, J. Phys. (Moscow) 11, 231 (1947).
32. V. V. Goldman, I. F. Silvera and A. J. Leggett, Phys. Rev. B 24, 2870 (1981).
33. V. L. Ginzburg and L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 34, 1240 (1958) [Sov. Phys. JETP 7, 858 (1958)].
34. J. Oliva, Phys. Rev. B 38, 8811 (1988).
35. J. Oliva, Phys. Rev. B 39, 4197 (1989).
36. R. V. E. Lovelace and T. J. Tommila, Phys. Rev. A 35, 3597 (1987).
37. A. Griffin, Excitations in a Bose-Condensed Liquid (Cambridge University Press, Cambridge, England, 1993).
38. See also M. Lewenstein, L. You, J. Cooper and K. Burnett, Phys. Rev. A 50, 2207 (1994), and references therein.
39. V. V. Goldman, I. F. Silvera and A. J. Leggett, Phys. Rev. B 24, 2870 (1981).
40. D. A. Huse and E. D. Siggia, J. Low Temp. Phys. 46, 137 (1982).
41. Such corrections for the regime of parameters characterizing experiments with alkali atoms have been recently calculated numerically in M. Edwards and K. Burnett, Phys. Rev. A 51, 1382 (1994);L. You, M. Lewenstein, R. J. Glauber, and J. Cooper, Phys. Rev. A (to be published).
42. V. Bagnato and D. Kleppner, Phys. Rev. A 44, 7439 (1991).