Normal modes of a vortex in a trapped Bose-Einstein condensate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 4, 1998, Pages 3168-3179

  Svidzinsky, Anatoly A ^a   Fetter, Alexander L ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000588490     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.3168     Document Type: Article

References (44)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).SCIEAS
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, 3969 (1995).PRLTAO
3. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997).PRLTAO
4. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996).PRLTAO
5. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).PRLTAO
6. M. Edwards, R. J. Dodd, C. W. Clark, and K. Burnett, J. Res. Natl. Inst. Stand. Technol. 101, 553 (1996).JRITEF
7. P. A. Ruprecht, M. Edwards, K. Burnett, and C. W. Clark, Phys. Rev. A 54, 4178 (1996).PLRAAN
8. D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 420 (1996).PRLTAO
9. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. 77, 988 (1996).PRLTAO
10. N. N. Bogoliubov, J. Phys. (Moscow) 11, 23 (1947).JOPYA6
11. E. P. Gross, Nuovo Cimento 20, 454 (1961); NUCIAD
12. E. P. GrossJ. Math. Phys. 4, 195 (1963).
13. L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].SPHJAR
14. A. L. Fetter, Ann. Phys. (N.Y.) 70, 67 (1972).APNYA6
15. G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).PRLTAO
16. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, Phys. Rev. Lett. 77, 416 (1996).PRLTAO
17. The analogous self-consistent equations for a superconductor are now generally known as the Bogoliubov–de Gennes equations [see, for example, P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966), Chap. 5].
18. A. L. Fetter, Phys. Rev. A 53, 4245 (1996).PLRAAN
19. W.-C. Wu and A. Griffin, Phys. Rev. A 54, 4204 (1996).PLRAAN
20. M. Edwards, R. J. Dodd, C. W. Clark, P. A. Ruprecht, and K. Burnett, Phys. Rev. A 53, R1950 (1966).PLRAAN
21. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).PLRAAN
22. S. Sinha, Phys. Rev. A 55, 4325 (1997).PLRAAN
23. D. Rokhsar, Phys. Rev. Lett. 79, 2164 (1997).PRLTAO
24. R. J. Dodd, K. Burnett, M. Edwards, and C. W. Clark, Phys. Rev. A 56, 587 (1997).PLRAAN
25. D. Rokhsar, cond-mat/9709212.
26. F. Zambelli and S. Stringari, Phys. Rev. Lett. 18, 1754 (1998).PRLTAO
27. G. B. Hess, Phys. Rev. 161, 189 (1967).PHRVAO
28. R. E. Packard and T. M. Sanders, Jr., Phys. Rev. Lett. 22, 823 (1969); PRLTAO
29. R. E. PackardT. M. Sanders, Jr.Phys. Rev. A 6, 799 (1972).
30. A. L. Fetter, Phys. Rev. 138, A709 (1965).PLRAAN
31. See, for example, A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971), Sec. 35.
32. See, for example, P. Nozières and D. Pines, The Theory of Quantum Liquids: Superfluid Bose Liquids (Addison-Wesley, Redwood City, CA, 1990), Vol. II, Chap. 9.
33. M. Fliesser, A. Csordás, P. Szépfalusy, and R. Graham, Phys. Rev. A 56, R2533 (1997).PLRAAN
34. P. Öhberg, E. L. Surkov, I. Tittonen, S. Stenholm, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A 56, R3346 (1997).PLRAAN
35. E. Zaremba, Phys. Rev. A 57, 518 (1998).PLRAAN
36. D. A. W. Hutchinson and E. Zaremba, Phys. Rev. A 57, 1280 (1998).PLRAAN
37. A. Erdelyi, Table of Integral Transforms (McGraw-Hill, New York, 1954), Vol. 2, Sec. 16.4.
38. This behavior is reminiscent of the Klein paradox in the Dirac equation;see, for example, J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964), pp. 40–42 and 56.
39. A. L. Fetter and D. Rokhsar, Phys. Rev. A 57, 1191 (1998).PLRAAN
40. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977), Vol. I, pp. 727–741.
41. W. Thomson, Mathematical and Physical Papers (Cambridge University Press, London, 1910), Vol. IV, p. 152.
42. V. L. Ginzburg and L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 34, 1240 (1958) [Sov. Phys. JETP 34, 858 (1958)].SPHJAR
43. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991), Chap. 2.
44. A. L. Fetter, in Lectures in Theoretical Physics, edited K. T. Mahanthappa and W. E. Brittin (Gordon and Breach, New York, 1969), Vol. XI-B, Sec. III, p. 321.