Beyond the fermi pseudopotential: A modified Gross-Pitaevskii equation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 536121-536126

  Fu, Haixiang ^a   Wang, Yuzhu ^a   Gao, Bo ^a,b  

^a SHANGHAI INSTITUTE OF OPTICS AND FINE MECHANICS   (China)

^b UNIVERSITY OF TOLEDO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DIFFUSION IN GASES; GASES; GROUND STATE; MONTE CARLO METHODS; QUANTUM THEORY;

ATOM-ATOM INTERACTIONS; TRAPPED CONDENSATE;

ATOMIC PHYSICS;

EID: 0038783336     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. F. Dalfovo, S. Giorgini, L.P. Pitaesvkii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
2. A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001).
3. See, e.g., S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); Ph. Courteille, R.S. Freeland, D.J. Heinzen, F.A. van Abeelen, and B.J. Verhaar, Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., Chris H. Greene, E.A. Cornell, and C.E. Wieman, ibid. 81, 5109 (1998); V. Vuletic, A.J. Kerman, C. Chin, and S. Chu, ibid. 82, 1406 (1999); S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, ibid. 85, 1795 (2000).
4. See, e.g., S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); Ph. Courteille, R.S. Freeland, D.J. Heinzen, F.A. van Abeelen, and B.J. Verhaar, Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., Chris H. Greene, E.A. Cornell, and C.E. Wieman, ibid. 81, 5109 (1998); V. Vuletic, A.J. Kerman, C. Chin, and S. Chu, ibid. 82, 1406 (1999); S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, ibid. 85, 1795 (2000).
5. See, e.g., S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); Ph. Courteille, R.S. Freeland, D.J. Heinzen, F.A. van Abeelen, and B.J. Verhaar, Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., Chris H. Greene, E.A. Cornell, and C.E. Wieman, ibid. 81, 5109 (1998); V. Vuletic, A.J. Kerman, C. Chin, and S. Chu, ibid. 82, 1406 (1999); S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, ibid. 85, 1795 (2000).
6. See, e.g., S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); Ph. Courteille, R.S. Freeland, D.J. Heinzen, F.A. van Abeelen, and B.J. Verhaar, Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., Chris H. Greene, E.A. Cornell, and C.E. Wieman, ibid. 81, 5109 (1998); V. Vuletic, A.J. Kerman, C. Chin, and S. Chu, ibid. 82, 1406 (1999); S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, ibid. 85, 1795 (2000).
7. See, e.g., S. Inouye, M.R. Andrews, J. Stenger, H.J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); Ph. Courteille, R.S. Freeland, D.J. Heinzen, F.A. van Abeelen, and B.J. Verhaar, Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., Chris H. Greene, E.A. Cornell, and C.E. Wieman, ibid. 81, 5109 (1998); V. Vuletic, A.J. Kerman, C. Chin, and S. Chu, ibid. 82, 1406 (1999); S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, and C.E. Wieman, ibid. 85, 1795 (2000).
8. E. Tiesinga, A.J. Moerdijk, B.J. Verhaar, and H.T.C. Stoof, Phys. Rev. A 46, R1167 (1992); E. Timmermans, P. Tommasini, M. Hussein, and A. Kerman, Phys. Rep. 315, 199 (1999).
9. E. Tiesinga, A.J. Moerdijk, B.J. Verhaar, and H.T.C. Stoof, Phys. Rev. A 46, R1167 (1992); E. Timmermans, P. Tommasini, M. Hussein, and A. Kerman, Phys. Rep. 315, 199 (1999).
10. E. Braaten and A. Nieto, Phys. Rev. B 56, 14745 (1997).
11. A. Fabrocini and A. Polls, Phys. Rev. A 60, 2319 (1999); 64, 063610 (2001); A. Banerjee and M.P. Singh, ibid. 64, 063604 (2001).
12. A. Fabrocini and A. Polls, Phys. Rev. A 60, 2319 (1999); 64, 063610 (2001); A. Banerjee and M.P. Singh, ibid. 64, 063604 (2001).
13. A. Fabrocini and A. Polls, Phys. Rev. A 60, 2319 (1999); 64, 063610 (2001); A. Banerjee and M.P. Singh, ibid. 64, 063604 (2001).
14. D. Blume and C.H. Greene, Phys. Rev. A 63, 063601 (2001).
15. S. Cowell, H. Heiselberg, I.E. Mazets, J. Morales, V.R. Pandharipande, and C.J. Pethick, Phys. Rev. Lett. 88, 210403 (2002).
16. E. Tiesinga, C.J. Williams, F.H. Mies, and P.S. Julienne, Phys. Rev. A 61, 063416 (2000).
17. D. Blume and C.H. Greene, Phys. Rev. A 65, 043613 (2002).
18. E.L. Bolda, E. Tiesinga, and P.S. Julienne, Phys. Rev. A 66, 013403 (2002).
19. B. Gao, Phys. Rev. A 58, 4222 (1998).
20. B. Gao, Phys. Rev. A 64, 010701(R) (2001).
21. See, e. g., L.S. Rodberg and R.M. Thaler, Introduction to the Quantum Theory of Scattering (Academic, New York, 1967).
22. K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957).
23. T.D. Lee and C.N. Yang, Phys. Rev. 105, 1119 (1957); T.D. Lee, K. Huang, and C.N. Yang, ibid. 106, 1135 (1957).
24. T.D. Lee and C.N. Yang, Phys. Rev. 105, 1119 (1957); T.D. Lee, K. Huang, and C.N. Yang, ibid. 106, 1135 (1957).
25. B. Gao (unpublished).
26. B.D. Esry, Phys. Rev. A 55, 1147 (1997).
27. See, for example, W.H. Press, S.A. Teukolsky, William T. Vetterling, and Brian P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, 1992).
28. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).
29. S. Giorgini, J. Boronat, and J. Casulleras, Phys. Rev. A 60, 5129 (1999).
30. B. Gao, Phys. Rev. A 62, 050702(R) (2000).
31. E.A. Donley, N.R. Claussen, S.L. Cornish, J.L. Roberts, Eric A. Cornell, and Carl E. Wieman, Nature (London) 412, 295 (2001).
32. E.G.M. van Kempen, S.J.J.M.F. Kokkelmans, D.J. Heinzen, and B.J. Verhaar, Phys. Rev. Lett. 88, 093201 (2002).