Proper treatment of the zero mode in quantum field theory for trapped Bose-Einstein condensation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Okumura, M ^a   Yamanaka, Y ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALKALI METALS; APPROXIMATION THEORY; ATOMS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON GAS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; HAMILTONIANS; MATRIX ALGEBRA; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS; THERMAL EFFECTS;

ALKALI METAL ATOMS; BOSE-EINSTEIN CONDENSATION; GROSS-PITAEVSKII EQUATION; THERMAL FLUCTUATION EFFECTS;

QUANTUM THEORY;

EID: 0141572535     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

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. Tollet, and R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
4. F. Dalfo, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
5. E.P. Gross, Nuovo Cimento 20, 454 (1961)
6. E.P. Gross, J. Math. Phys. 4, 195 (1963)
7. L.P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
8. A. Griffin, Phys. Rev. B 53, 9341 (1996).
9. Y. Nambu and G. Yona-Lasinio, Phys. Rev. 122, 345 (1961)
10. J. Goldstone, Nuovo Cimento 19, 154 (1961)
11. J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962).
12. J.C. Ward, Phys. Rev. 78, 182 (1950)
13. Y. Takahashi, Nuovo Cimento 6, 370 (1957).
14. N.N. Bogoliubov, J. Phys. (Moscow) 11, 23 (1947).
15. H. Ezawa, J. Math. Phys. 6, 380 (1965)
16. H. Ezawa and M. Luban, ibid. 8, 1285 (1967).
17. H. Ezawa, K. Nakamura, K. Watanabe, and Y. Yamanaka, Mathematical Physics and Stochastic Analysis-Essays in Honor of Ludvig Streit, edited by S. Alberverio et al. (World Scientific, Singapore, 2000), p. 169
18. H. Ezawa, K. Watanabe, and K. Nakamura, in Foundations of Quantum Mechanics in the Light of New Technology ISQM-Tokyo '01, edited by Y.A. Ono and K. Fujikawa (World Scientific, Singapore, 2002).
19. M. Lewenstein and L. You, Phys. Rev. Lett. 77, 3489 (1996).
20. H. Matsumoto and S. Sakamoto, Prog. Theor. Phys. 107, 679 (2002).
21. For a review see, H. Umezawa, Advanced Field Theory-Micro, Macro and Thermal Physics (AIP, New York, 1993), and references therein.
22. J.I. Kapusta, Finite-Temperature Field Theory (Cambridge University Press, New York, 1989)
23. M. Le Bellac, Thermal Field Theory (Cambridge University Press, New York, 1996)
24. A. Das, Finite Temperature Field Theory (World Scientific, Singapore, 1997).
25. E. Braaten and A. Nieto, Phys. Rev. B 56, 14 745 (1997).
26. K. Huang and P. Tommasini, J. Res. Natl. Inst. Stand. Technol. 101, 435 (1996).
27. D.A.W. Hutchinson, R.J. Dodd, and K. Burnett, Phys. Rev. Lett. 81, 2198 (1998).
28. S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, Phys. Rev. Lett. 85, 1795 (2000).
29. M. Edwards and K. Burnett, Phys. Rev. A 51, 1382 (1995).
30. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, New York, 1992)
31. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in Fortran 90, 2nd ed. (Cambridge University Press, New York, 1996).
32. T. Bergeman, D.L. Feder, N.L. Balazs, and B.I. Schneider, Phys. Rev. A 61, 063605 (2000).