Dynamics of a single ring of vortices in two-dimensional trapped Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 4, 2004, Pages

  Kim, Jong Kwan ^a,b   Fetter, Alexander L ^a,b  

^a STANFORD UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREE ENERGY; FUNCTIONS; GAS DYNAMICS; HYDRODYNAMICS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; PROBLEM SOLVING; SUPERFLUID HELIUM; VARIATIONAL TECHNIQUES;

BOSE-EINSTEIN CONDENSATES; DYNAMICAL STABILITY; THERMAL IMPURITIES; THOMAS-FERMI LIMIT; VORTEX DYNAMICS;

QUANTUM THEORY;

EID: 19744381093     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.043624     Document Type: Article

References (40)

1. See, for example, R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, England, 1991).
2. V. K. Tkachenko, Zh. Eksp. Teor. Fiz. 49, 1875 (1965) [Sov. Phys. JETP 22, 1282 (1966)]; 50, 1573 (1966) [23, 1049 (1966)].
3. V. K. Tkachenko, Zh. Eksp. Teor. Fiz. 49, 1875 (1965) [Sov. Phys. JETP 22, 1282 (1966)]; 50, 1573 (1966) [23, 1049 (1966)].
4. V. K. Tkachenko, Zh. Eksp. Teor. Fiz. 49, 1875 (1965) [Sov. Phys. JETP 22, 1282 (1966)]; 50, 1573 (1966) [23, 1049 (1966)].
5. V. K. Tkachenko, Zh. Eksp. Teor. Fiz. 49, 1875 (1965) [Sov. Phys. JETP 22, 1282 (1966)]; 50, 1573 (1966) [23, 1049 (1966)].
6. T. H. Havelock, Philos. Mag. 11, 617 (1931).
7. G. B. Hess, Phys. Rev. 161, 189 (1967).
8. L. J. Campbell and R. M. Ziff, Phys. Rev. B 20, 1886 (1979).
9. E. J. Yarmchuk, M. J. V. Gordon, and R. E. Packard, Phys. Rev. Lett. 43, 214 (1979).
10. A. L. Fetter, Phys. Rev. 162, 143 (1967).
11. M. R. Williams and A. L. Fetter, Phys. Rev. B 16, 4846 (1977).
12. G. Baym and E. Chandler, J. Low Temp. Phys. 50, 57 (1983).
13. E. B. Sonin, Rev. Mod. Phys. 59, 87 (1987).
14. 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).
15. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
16. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard. J. Mod. Opt. 47, 2715 (2000).
17. I. Coddington, P. Engels, V. Schweikhard, and E. A. Cornell, Phys. Rev. Lett. 91, 100402 (2003).
18. J. R. Anglin and M. Crescimanno, cond-mat/0210063.
19. G. Baym, Phys. Rev. Lett. 91, 110402 (2003).
20. M. Cozzini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 92, 220401 (2004).
21. E. B. Sonin, cond-mat/0405474.
22. D. A. Butts and D. S. Rokhsar, Nature (London) 397, 327 (1999).
23. Y. Castin and R. Dum, Eur. Phys. J. D 7, 399 (1999).
24. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
25. A. L. Fetter, in Bose-Einstein Condensation in Atomic Gases, edited by M. Inguscio, S. Stringari, and C. E. Wieman (IOP Press, Amsterdam, 1999), p. 201.
26. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon Press, Oxford, 1960); E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980).
27. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon Press, Oxford, 1960); E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980).
28. V. M. Pérez-Garcfa, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. 77, 5320 (1996).
29. G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).
30. R. E. Packard and T. M. Sanders Jr., Phys. Rev. A 6, 799 (1972).
31. B. Jackson, J. F. McCann, and C. S. Adams, Phys. Rev. A 61, 013604 (1999).
32. E. Lundh and P. Ao, Phys. Rev. A 61, 063612 (2000).
33. S. A. McGee and M. J. Holland, Phys. Rev. A 63. 043608 (2001).
34. A. L. Fetter and J.-k. Kim, J. Low Temp. Phys. 125, 239 (2001).
35. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. Lett. 84, 5919 (2000).
36. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A 62, 063617 (2000).
37. D. E. Sheehy and L. Radzihovsky, cond-mat/0402637; condmat/0406205.
38. F. Chevy, K. W. Madison, and J. Dalibard, Phys. Rev. Lett. 85, 2223 (2000).
39. K. Kasamatsu, M. Tsubota, and M. Ueda, Phys. Rev. A 66, 053606 (2002).
40. A. L. Fetter, B. Jackson, and S. Stringari, cond-mat/0407119.