Multi-vortex phase transitions in rotating Bose-Einstein condensates

AIP Conference Proceedings

Volumn 777, Issue , 2005, Pages 72-83

  Vorov, O K ^a,b   Van Isacker, P ^c   Hussein, M S ^d   Kun, S Yu ^e,f,g   Bartschat, K ^a  

^a DRAKE UNIVERSITY   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

^c GANIL   (France)

^d UNIVERSITY OF SÃO PAULO   (Brazil)

^e INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^f AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^g ANU ^*  (Australia)

Author keywords

Atomic trap; BEC; Gross Pitaevskii equation; Vortices

Indexed keywords

EID: 28844483986     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.1996873     Document Type: Conference Paper

References (62)

1. M.H. Anderson et al., Science 269, 198 (1997).
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. P. Nozières and D. Pines, The Theory of Quantum Fluids (Addison-Wesley, Redwood City, CA 1990), Vol. 2.
6. O .Penrose and L. Onsager, Phys.Rev. 104, 576 (1956).
7. F. Dalfovo and S. Stringari, Phys.Rev. A53, 2477 (1996).
8. S. Stringari, Phys. Rev. Lett. 82, 4371 (1999).
9. D.A. Butts and D.S. Rokhsar, Nature 397, 327 (1999).
10. N.K. Wilkin, J.M. Gunn, and R.A. Smith, Phys. Rev. Lett. 80, 2265 (1998).
11. P. Nozières, in Bose Einstein Condensation, ed. by A. Griffin et al. (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. A60, 4910 (1999);
15. A. Fetter and A. Svidzinsky, J. Phys.: Cond. Mat. 13, R135 (2001).
16. A.A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).
17. B. Mottelson, Phys. Rev. Lett. 83, 2695 (1999).
18. G.F. Bertsch and T. Papenbrock, Phys. Rev. Lett. 83, 5412 (1999).
19. M.S. Hussein and O.K. Vorov, Phys. Rev. A65, 035603 (2002);
20. Ann. Phys. (N.Y.) 298, 248 (2002).
21. M.S. Hussein and O.K. Vorov, Phys. Rev. A65, 053608 (2002).
22. O.K. Vorov, M.S. Hussein, and P. Van Isacker, Phys. Rev. Lett. 90, 200402 (2003).
23. A.H. MacDonald, in Mesoscopic quantum physics ed E. Akkermans et al. (Amsterdam; Elsevier, 1995), p. 659.
24. W. I. McAlexander et al., Phys. Rev. A 51, R871 (1995).
25. D. O'Dell et al., Phys. Rev. Lett. 84, 5687 (2000).
26. M. Hammes et al., e-print physics/0208065.
27. We omit normalizing factors.
28. The forces are assumed to give finite matrix elements.
29. The quantities w(2n) resemble the pseudopotentials of F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983).
30. O.K. Vorov, P. Van Isacker, and M.S. Hussein, J. Phys. Conference Proceedings 173, 609 (2003).
31. 2<0 case.
32. I.S. Gradshtein and I.M. Ryzhik, Table of Integrals, (Academic Press, New York, 1965).
33. C.J. Pethick and L.P. Pitaevskii, Phys. Rev. A 62, 033609 (2000).
34. L.D. Landau and E.M. Lifshitz, Statistical. Physics (Pergamon, London, 1980), p. 452.
35. O.K. Vorov, Talk at the International Conference on Theoretical Physics TH2002, UNESCO, Paris, 2002.
36. O.K., Vorov, P. Van Isacker, M.S. Hussein, and and K. Bartschat, in preparation for Physical Review A.
37. P. Engels et al., Phys. Rev. Lett. 90, 170405 (2003).
38. V. Schweikhard et al., Phys. Rev. Lett. 92, 040404 (2004).
39. F. Dalfovo et al., Rev. Mod. Phys. 71, 463 (1999).
40. N.K. Wilkin, J.M. Gunn, and R.A. Smith, Phys. Rev. Lett. 80, 2265 (1998).
41. G.F. Bertsch and T. Papenbrock, Phys. Rev. A83, 5412 (1999).
42. G.M. Kavoulakis, B. Mottelson, and C.J. Pethick, Phys. Rev. A 62, 063605 (2000).
43. X.-J. Liu et al., Phys. Rev. Lett. 87, 030404 (2001).
44. J.J. Palacios, Phys. Rev. B 58 R5948 (1998);
45. G.M. Braverman, S.A. Gredeskul, and Y. Avishai, Phys. Rev. B 57, 13899 (1998).
46. O.K. Vorov, P. Van Isacker, M.S. Hussein, and K. Bartschat, Nucleation and growth of vortical Wigner molecules in a rotating Bose-Einstein condensate, submitted to Phys. Rev. Lett. (2005).
47. M. Tinkham, Introduction to superconductivity (McGraw-Hill, New York, 1975).
48. B. Highman, Applied group-theoretical and matrix methods (Dover, New York, 1964).
49. J.B. French et al., Ann. Phys. (N.Y.) 181, 198 (1988).
50. O.K. Vorov, Talk at the Institute for Atomic and Molecular Physics, Amsterdam, Netherlands, June 2003.
51. G. Herzberg, Infrared and Raman spectra of polyatomic molecules (Van Nostrand, New York, 1945).
52. 0.
53. pv states are metastable (linearly stable) in wider Ω-domains.
54. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1965).
55. V. Bedanov and P.M. Peeters, Phys. Rev. B 49, 2667 (1994).
56. J.J. Thomson, Philos. Mag. 7, 238 (1904).
57. Y. Castin and R. Dum, Eur. J. Phys. D 7, 399 (1999).
58. D.R. Nelson, Phys. Rev. Lett. 60, 1973 (1988).
59. M.J.W. Dodgson and M.A. Moore, Phys. Rev. B 51, 11887-11902 (1995).
60. O.K. Vorov, P. Van Isacker, M.S. Hussein, and K. Bartschat, Rotating Bose-Einstein condensates at the phase transition point, in preparation for submission to Nature (London).
61. S.W. MacDowell and O. Tornkvist, Phys. Rev. D 45, 3833 (1992)
62. J. Ambjorn and P. Olesen, Electroweak magnetism, W-condensation and anti-screening, e-print hep-th/9304220.