Bose-Einstein condensates in dilute trapped atomic gases

Journal of Low Temperature Physics

Volumn 129, Issue 5-6, 2002, Pages 263-321

  Fetter, Alexander L ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; KINETIC ENERGY; TOPOLOGY; VORTEX FLOW;

ATOMIC GASES;

GAS CONDENSATES;

CONDENSATE; GAS; LOW TEMPERATURE;

EID: 0036991269     PISSN: 00222291     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021408428662     Document Type: Article

References (70)

1. Base-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," edited by M. Inguscio, S. Stringari, and C. E. Wieman (IOP Press, Amsterdam, 1999).
2. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
3. Y. Castin, in Coherent Atomic Matter Waves, Lecture notes of Les Houches Summer School, 1999, edited by R. Kaiser, C. Westbrook, and F. David (EDP Sciences and Springer-Verlag, 2001), pp. 1-136 (e-print:cond-mat/0105058).
4. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, 3rd edition, Part 1 (Pergamon Press, Oxford, 1980), Chapter 5.
5. A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971), Chapters. 1 and 2.
6. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).
7. N. N. Bogoliubov, J. Phys. (USSR) 11, 23 (1947).
8. A.L. Fetter, Base-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," edited by M. Inguscio, S. Stringari, and C. E. Wieman (IOP Press, Amsterdam, 1999). p. 201.
9. E. P. Gross, Nuovo Cimento 20, 454 (1961).
10. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
11. Sov. Phys.-JETP 13, 451 (1961).
12. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd edition (Pergamon Press, London, 1987), Chapter I.
13. G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).
14. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
15. D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, Phys. Rev. Lett. 81, 500 (1998).
16. A. L. Fetter, Ann. Phys. (N.Y.) 70, 67 (1972).
17. A. L. Fetter, Phys. Rev. A 53, 4245 (1996).
18. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997).
19. S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 85, 1795 (2000).
20. J. L. Roberts, N. R. Claussen, S. L. Cornish, E. A. Donley, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 86, 4211 (2001).
21. E. A. Donley, N. R. Claussen, S. L. Cornish, J. L. Roberts, E. A. Cornell, and C. E. Wiernan, Nature 412, 295 (2001).
22. A. Robert, O. Sirjean, A. Browaeys, J. Poupard, S. Nowak, D. Boiron, C. I. Westbrook, and A. Aspect, Science 292, 461 (2001).
23. F. Pereira Dos Santos, J. Léonard, J. Wang, C. J. Barrelet, F. Perales, E. Rasel, U. Unnikrishnan, M. Leduc, and C. Cohen-Tannoudji, Phys, Rev. Lett. 86, 3459 (2001).
24. M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
25. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
26. A. L. Fetter and A. A. Svidzinsky, J. Phys. Cond. Matter 13, R135 (2001).
27. R. P. Feynman, in Progress in Low Temperature Physics, edited by C. J. Gorter (North-Holland, Amsterdam, 1955), Vol. 1, p. 17.
28. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996), 2nd edition, Chapters. 4 and 5.
29. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. Lett. 84, 5919 (2000).
30. B. P. Anderson, P. C. Haljan, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 85, 2857 (2000).
31. D. L. Feder, A. A. Svidzinsky, A. L. Fetter, and C. W. Clark, Phys. Rev. Lett. 86, 564 (2001).
32. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, J. Mod. Opt. 47, 2715 (2000).
33. F. Chevy, K. W. Madison, and J. Dalibard, Phys. Rev. Lett. 85, 2223 (2000).
34. F. Dalfovo and S. Stringari, Phys. Rev. A 63, 011601(R) (2001).
35. S. Sinha and Y. Castin, Phys. Rev. Lett. 87, 190402 (2001).
36. K. W. Madison, F. Chevy, V. Bretin, and J. Dalibard, Phys. Rev. Lett, 86, 4443 (2001).
37. F. Chevy, K. W. Madison, V. Bretin, and J. Dalibard, in Proceedings of Trapped Particles and Fundamental Physics Workshop (Les Houches 2001), edited by S. Atutov, K. Kalabrese, and L. Moi, e-print: cond-mat/0104218.
38. E. J. Yarmchuk, M. J. V. Gordon, and R. E. Packard, Phys. Rev. Lett. 43, 214 (1979).
39. J. R. Abo-Shaeer, C. Raman, J. M. Vogels, and W. Ketterle, Science 292, 476 (2001).
40. C. Raman, J. R. Abo-Shaeer, J. M. Vogels, K. Xu, and W. Ketterle, Phys. Rev. Lett. 87, 210402 (2001).
41. P. C. Haljan, I. Coddington, P. Engels, and E. A. Cornell, Phys. Rev. Lett. 87, 210403 (2001).
42. T.-L. Ho, Phys. Rev. Lett. 87, 060403 (2001).
43. A. L. Fetter, Phys. Rev. A 64, 063608 (2001).
44. U. R. Fischer and G. Baym, e-print: cond-mat/0111443, v.4.
45. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996).
46. R. J. Dodd, K. Burnett, M. Edwards, and C. W. Clark, Phys. Rev. A 56, 587 (1997).
47. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A 58, 3168 (1998).
48. F. Zambelli and S. Stringari, Phys. Rev. Lett. 81, 1754 (1998).
49. P. C. Hadjan, B. P. Anderson, I. Coddington, and E. A. Cornell, Phys. Rev. Lett. 86, 2922 (2001).
50. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A 62, 063617 (2000).
51. L. M. Pismen, Vortices in Nonlinear Fields (Clarendon Press, Oxford, 1999), Sections. 2.2 and 5.2
52. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991), Chapter 6.
53. C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 78, 586 (1997).
54. D. M. Stamper-Kurn and W. Ketterle, Les Houches 1999 Summer School, Session LXXII, e-print: cond-mat/0005001.
55. Y. A. Nepomnyashchii, Teor. Mat. Phys. 20, 399 (1974).
56. T.-L. Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996).
57. F. Dalfovo, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, 4213 (1996).
58. B. D. Esry, C. H. Greene, J. P. Burke, Jr., and J. L. Bohn, Phys. Rev. Lett. 78, 3594 (1997).
59. M. R. Matthews, D. S. Hall, D. S. Jin, J. R. Ensher, C. E. Wieman, E. A. Cornell, F. Dalfovo, C. Minniti, and S. Stringari, Phys. Rev. Lett. 81, 243 (1998).
60. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987), Chapters 2 and 3.
61. D. S. Hall, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 81, 1539 (1998).
62. D. S. Hall, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett, 81, 1543 (1998).
63. M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, M. J. Holland, J. E. Williams, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 3358 (1999).
64. J. Williams, R. Walser, J. Cooper, E. A. Cornell, and M. Holland, Phys. Rev. A 61, 033612 (2000).
65. J. E. Williams and M. J. Holland, Nature 401, 568 (1999).
66. D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, and W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998).
67. T.-L. Ho, Phys. Rev. Lett. 81, 742 (1998).
68. J. Stenger, S. Inouye, D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, and W. Ketterle, Nature 396, 345 (1998).
69. H.-J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999)
70. D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, S. Inouye, J. Stenger, and W. Ketterle, Phys. Rev. Lett. 83, 661 (1999).