Abstract
The structure of a quantized vortex in a Bose-Einstein Condensate is investigated using the projection method developed by Peierls, Yoccoz, and Thouless. This method was invented to describe the collective motion of a many-body system beyond the mean-field approximation. The quantum fluctuation has been properly built into the variational wave function, and a vortex is described by a linear combination of Feynman wave functions weighted by a Gaussian distribution in their center positions. In contrast to the solution of the Gross-Pitaevskii equation, the particle density is finite at the vortex axis and the vorticity is distributed in the core region.
Similar content being viewed by others
REFERENCES
M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell,Science 269, 198 (1995).
C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet,Phys. Rev. Lett. 75, 1687 (1995).
K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. vanDruten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
D.G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss, D. Kleppner, and T. J. Greytak, Phys. Rev. Lett. 81, 3811 (1998).
J. E. Williams and M. J. Holland, Nature(London) 401,568 (1999).
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).
K. W. Madison, F. Chevy, W. Wohlleben,and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
N. N. Bogoliubov, J. Phys.(USSR)11, 23 (1947).
E. P. Gross, Nuouo Cimento 20, 454 (1961).
L. P. Pitaevskii, Zh. Eksp. Teor. Fzz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
E.Timmermans, P. Tommasini and K. Huang, Phys. Rev. A 55, 3645 (1997).
E. Braaten and A. Nieto, Phys. Rev. B 56, 14745 (1997).
A. L. Fetter, Phys. Rev. Lett. 27, 986(1971); A. L. Fetter, Ann. Phys.(N.Y.) 70, 67 (1972).
D. L. Hill and J. A. Wheeler, Phys.Rev. 89, 1102 (1953).
R. E. Peierls and J. Yoccoz, Proc. Roy. Soc. A 70, 381(1957); R. E. Peierls and D. J. Thouless, Nucl. Phys. 38, 154 (1962).
J.-M. Tang, cond-mat/9812438.
Sir W. Thomson, Phil. Mag. 10, 155 (1880).
R. P. Feynman, in Progress inLow Temperature Physics, edited by C. J. Gorter (Elsevier Science Publishers B.V., Amsterdam, 1955), Vol. 1,Chap. 2, pp. 17–53.
P. S. Julienne, F. H. Mies, E. Tiesinga, and C. J. Williams, Phys. Rev. Lett. 78, 1880 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tang, JM. The Structure of a Quantized Vortex in a Bose-Einstein Condensate. Journal of Low Temperature Physics 121, 287–292 (2000). https://doi.org/10.1023/A:1017516706057
Issue Date:
DOI: https://doi.org/10.1023/A:1017516706057