Rotating ground states of trapped atoms in a Bose-Einstein condensate with arbitrary two-body interactions

Physical Review Letters

Volumn 90, Issue 20, 2003, Pages

  Vorov, O K ^a   Hussein, M S ^b   Van Isacker, P ^a  

^a GANIL   (France)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; BESSEL FUNCTIONS; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; HAMILTONIANS; QUANTUM THEORY; VECTORS;

BOSE-EINSTEIN CONDENSATE; DIAGONALIZATION; QUANTUM PHASE TRANSITION;

GROUND STATE;

EID: 0038790169     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. M. H. Anderson et al., Science 269, 198 (1995).
2. J. L. Roberts et al., Phys. Rev. Lett. 86, 4211 (2001).
3. K. W. Madison et al., Phys. Rev. Lett. 86, 4443 (2001)
4. J.R. Abo-Shaeer et al., Science 292, 476 (2001).
5. O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
6. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).
7. S. Stringari, Phys. Rev. Lett. 82, 4371 (1999).
8. D. A. Butts and D. S. Rokhsar, Nature (London) 397, 327 (1999).
9. N. K. Wilkin, J. M. Gunn, and R. A. Smith, Phys. Rev. Lett. 80, 2265, (1998).
10. P. Nozières and D. Pines, The Theory of Quantum Fluids (Addison-Wesley, Redwood City, CA, 1990), Vol. 2.
11. P. Nozières, in Bose Einstein Condensation, edited by A. Griffin et al. (Cambridge University Press, Cambridge, 1995), p. 15.
12. P. A. Ruprecht et al., Phys. Rev. A 51 4704 (1995).
13. F. Dalfovo et al., Rev. Mod. Phys. 71, 463 (1999).
14. M. Linn and A. L. Fetter, Phys. Rev. A 60, 4910 (1999).
15. B. Mottelson, Phys. Rev. Lett. 83, 2695 (1999).
16. G. F. Bertsch and T. Papenbrock, Phys. Rev. Lett. 83, 5412 (1999).
17. M. S. Hussein and O. K. Vorov, Phys. Rev. A 65, 035603 (2002)
18. M. S. Hussein and O. K. Vorov, Ann. Phys. (N.Y.) 298, 248 (2002).
19. M.S. Hussein and O.K. Vorov, Phys. Rev. A 65, 053608 (2002).
20. A.H. MacDonald, in Mesoscopic Quantum Physics, edited by E. Akkermans et al. (Elsevier, Amsterdam 1995), p. 659.
21. W. I. McAlexander et al., Phys. Rev. A 51, R871 (1995).
22. D. O'Dell et al., Phys. Rev. Lett. 84, 5687 (2000).
23. M. Hammes et al., physics/0208065.
24. We omit normalizing factors.
25. The forces are assumed to give finite matrix elements.
26. The quantities w(2n) resemble the pseudopotentials of F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983).
27. 2 < 0 case.
28. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals (Academic Press, New York, 1965).
29. C. J. Pethick and L. P. Pitaevskii, Phys. Rev. A 62, 033609 (2000).
30. 2 ≥ 0, |μ> minimize energy at given μ [16].
31. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, London, 1980), p. 452.
32. J. Tempere et al., Phys. Rev. A 61, 043605 (2000).
33. O. K. Vorov, M. S. Hussein, and P. Van Isacker, in Proceedings of the International Conference on Theoretical Physics, UNESCO, Paris, 2002 (to be published).