Precision Monte Carlo test of the Hartree-Fock approximation for a trapped Bose gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 4, 1999, Pages 2956-2961

  Holzmann, Markus ^a   Krauth, Werner ^a   Naraschewski, Martin ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000129573     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.2956     Document Type: Article

References (36)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
3. C. C. Bradley, C. A. Sackett, J. J. Tolett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)
4. Phys. Rev. Lett.C. C. Bradley, C. A. Sackett, and R. G. Hulet, 78, 985 (1997).
5. N. N. Bogoliubov, J. Phys. (Moscow) 11, 23 (1947).
6. E. P. Gross, Nuovo Cimento 20, 454 (1961)
7. L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
8. D. A. W. Hutchinson, E. Zaremba, and A. Griffin, Phys. Rev. Lett. 78, 1842 (1997).
9. F. Dalfovo, S. Giorgini, L. Pitaevskii, and S. Stringari, Rev. Mod. Phys. (to be published).
10. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984)
11. Phys. Rev. BE. L. PollockD. M. Ceperley36, 8343 (1987)
12. D. M. Ceperley, Rev. Mod. Phys. 67, 1601 (1995).
13. W. Krauth, Phys. Rev. Lett. 77, 3695 (1996).
14. V. V. Goldman, I. F. Silvera, and A. J. Leggett, Phys. Rev. B 24, 2870 (1981).
15. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996).
16. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle System (McGraw-Hill, New York, 1971)
17. T. Toyoda, Ann. Phys. (N.Y.) 141, 154 (1982)
18. K. Huang, in Studies in Statistical Mechanics (North-Holland, Amsterdam, 1964), Vol. II.
19. P. Grüter, D. Ceperley, and F. Laloë, Phys. Rev. Lett. 79, 3549 (1997).
20. M. Bijlsma and H. T. C. Stoof, Phys. Rev. A 54, 5085 (1996)
21. Phys. Rev. AH. T. C. Stoof, 45, 8398 (1992).
22. M. Houbiers, H. T. C. Stoof, and E. A. Cornell, Phys. Rev. A 56, 2041 (1997).
23. R. P. Feynman, Statistical Mechanics (Benjamin/Cummings, Reading, MA, 1972).
24. S. Giorgini, L. P. Pitaevskii, and S. Stringari, J. Low Temp. Phys. 109, 309 (1997)
25. F. Dalfovo, S. Giorgini, M. Guilleumas, L. Pitaevskii, and S. Stringari, Phys. Rev. A 56, 3840 (1997).
26. A. Griffin and E. Zaremba, Phys. Rev. A 56, 4839 (1997).
27. M. Holzmann and Y. Castin, e-print physics/9812029;
28. M. Naraschewski and R. J. Glauber, e-print cond-mat/9806362.
29. The displayed QMC data were obtained with (Formula presented) A minute systematic shift subsists.
30. M. Naraschewski and D. M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).
31. M. Holzmann and W. Krauth (unpublished).
32. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, Phys. Rev. Lett. 77, 416 (1996).
33. J. R. Ensher, D. S. Jin, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 4984 (1996).
34. The scaling behavior seems to be similar to an ideal gas, where finite-size effects lead to a deviation of the critical degeneracy parameter by (Formula presented)
35. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
36. The FORTRAN program for the fit procedure and the QMC code are made available (from M.H. or W.K.).