Ward-Takahashi relation at finite temperature in Bose-Einstein condensation of trapped neutral atoms

Physica A: Statistical Mechanics and its Applications

Volumn 348, Issue , 2005, Pages 157-172

  Okumura, Masahiko ^a   Yamanaka, Yoshiya ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

Bose Einstein condensation; Thermo field dynamics; Ward Takahashi relation

Indexed keywords

BOSE-EINSTEIN CONDENSATION; THERMO FIELD DYNAMICS; WARD-TAKAHASHI RELATION; ZERO-ENERGY MODE (ZEM);

APPROXIMATION THEORY; CONDENSATION; MATHEMATICAL TRANSFORMATIONS; PHASE TRANSITIONS; QUANTUM THEORY; THERMOANALYSIS;

HIGH ENERGY PHYSICS;

EID: 11444261182     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.10.006     Document Type: Article

References (27)

1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell Science 269 1995 198
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 1995 3969
3. C.C. Bradley, C.A. Sackett, J.J. Tollett, and R.G. Hulet Phys. Rev. Lett. 75 1995 1687
4. H.-J. Miesner, D.M. Stamper-Kurn, M.R. Andrews, D.S. Durfee, S. Inoue, and W. Ketterle Science 279 1998 1005
5. F. Dalfovo, L.P. Pitaevskii, and S. Stringari Rev. Mod. Phys. 71 1999 463
6. M. Köhl, M.J. Davis, C.W. Gardiner, T.W. Hänsch, and T. Esslinger Phys. Rev. Lett. 88 2002 080402; M.J. Davis, and C.W. Gardiner J. Phys. B 35 2002 733
7. M. Köhl, M.J. Davis, C.W. Gardiner, T.W. Hänsch, and T. Esslinger Phys. Rev. Lett. 88 2002 080402; M.J. Davis, and C.W. Gardiner J. Phys. B 35 2002 733
8. J.C. Ward Phys. Rev. 78 1950 182; Y. Takahashi Nuovo Cimento 6 1957 370
9. J.C. Ward Phys. Rev. 78 1950 182; Y. Takahashi Nuovo Cimento 6 1957 370
10. H. Umezawa, H. Matsumoto, and M. Tachiki Thermo Field Dynamics and Condensed States 1982 North-Holland Amsterdam
11. See for review, H. Umezawa, Advanced Field Theory - Micro, Macro and Thermal Physics, AIP, New York, 1993 and references therein.
12. Y. Nambu, and G. Jona-Lasinio Phys. Rev. 122 1961 345; J. Goldstone Nuovo Cimento 19 1961 154; J. Goldstone, A. Salam, and S. Weinberg Phys. Rev. 127 1962 965
13. Y. Nambu, and G. Jona-Lasinio Phys. Rev. 122 1961 345; J. Goldstone Nuovo Cimento 19 1961 154; J. Goldstone, A. Salam, and S. Weinberg Phys. Rev. 127 1962 965
14. Y. Nambu, and G. Jona-Lasinio Phys. Rev. 122 1961 345; J. Goldstone Nuovo Cimento 19 1961 154; J. Goldstone, A. Salam, and S. Weinberg Phys. Rev. 127 1962 965
15. M. Okumura, and Y. Yamanaka Phys. Rev. A 68 2003 13609
16. M. Lewenstein, and L. You Phys. Rev. Lett. 77 1996 3489
17. H. Matsumoto, and S. Sakamoto Prog. Theor. Phys. 107 2002 679
18. M. Mine, M. Okumura, Y. Yamanaka, unpublished.
19. M. Okumura, and Y. Yamanaka Prog. Theor. Phys. 111 2004 199
20. J.I. Kapusta Finite-temperature Field Theory 1989 Cambridge University Press New York; M. Le Bellac Thermal Field Theory 1996 Cambridge University Press New York; A. Das Finite Temperature Field Theory 1997 World Scientific Singapore
21. J.I. Kapusta Finite-temperature Field Theory 1989 Cambridge University Press New York; M. Le Bellac Thermal Field Theory 1996 Cambridge University Press New York; A. Das Finite Temperature Field Theory 1997 World Scientific Singapore
22. J.I. Kapusta Finite-temperature Field Theory 1989 Cambridge University Press New York; M. Le Bellac Thermal Field Theory 1996 Cambridge University Press New York; A. Das Finite Temperature Field Theory 1997 World Scientific Singapore
23. N.N. Bogoliubov Lectures on Quantum Statistics 1971 McDonald Technical and Scientific London
24. E.P. Gross Nuovo Cimento 20 1961 454; E.P. Gross J. Math. Phys. 4 1963 195; L.P. Pitaevskii Zh. Eksp. Teor. Fiz. [Sov. Phys. JETP] 40 1961 646; L.P. Pitaevskii Sov. Phys. JETP 13 1961 451
25. E.P. Gross Nuovo Cimento 20 1961 454; E.P. Gross J. Math. Phys. 4 1963 195; L.P. Pitaevskii Zh. Eksp. Teor. Fiz. [Sov. Phys. JETP] 40 1961 646; L.P. Pitaevskii Sov. Phys. JETP 13 1961 451
26. E.P. Gross Nuovo Cimento 20 1961 454; E.P. Gross J. Math. Phys. 4 1963 195; L.P. Pitaevskii Zh. Eksp. Teor. Fiz. [Sov. Phys. JETP] 40 1961 646; L.P. Pitaevskii Sov. Phys. JETP 13 1961 451
27. E.P. Gross Nuovo Cimento 20 1961 454; E.P. Gross J. Math. Phys. 4 1963 195; L.P. Pitaevskii Zh. Eksp. Teor. Fiz. [Sov. Phys. JETP] 40 1961 646; L.P. Pitaevskii Sov. Phys. JETP 13 1961 451