Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1998-11-26
J. Phys. Soc. Jpn., 68, 487 (1999).
Physics
Condensed Matter
Soft Condensed Matter
6 pages, 7 eps figures, to be published in J. Phys. Soc. Jpn. Vol. 68-2
Scientific paper
10.1143/JPSJ.68.487
The stability of a quantized vortex state in Bose-Einstein condensation is examined within Bogoliubov theory for alkali atom gases confined in a harmonic potential under forced rotation. By solving the non-linear Bogoliubov equations coupled with the Gross-Pitavskii equation, the elementary excitations and the total energy of the systems are calculated as a function of rotation velocity. There are two distinct criteria of vortex stability; The position of the excitation energy levels relative to the condensate energy level yields the local stability criterion, and the total energy relative to that of the non-vortex state yields the global stability criterion. The vortex stability phase diagram in the rotation velocity vs the particle density of the system is obtained, allowing one to locate the appropriate region to observe the singly quantized vortex.
Isoshima Tomoya
Machida Kazushige
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