Vortex stabilization in dilute Bose-Einstein condensate under rotation

Citation
T. Isoshima et K. Machida, Vortex stabilization in dilute Bose-Einstein condensate under rotation, J PHYS JPN, 68(2), 1999, pp. 487-492
Citations number
24
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
68
Issue
2
Year of publication
1999
Pages
487 - 492
Database
ISI
SICI code
0031-9015(199902)68:2<487:VSIDBC>2.0.ZU;2-5
Abstract
The stability of a quantized vortex state in Bose-Einstein condensation is examined within Bogoliubov theory for alkali atom gases confined in a harmo nic potential under forced rotation. By solving the non-linear Bogoliubov e quations coupled with the Gross-Pitavskii equation, the elementary excitati ons and the total energy of the systems are calculated as a function of rot ation velocity. There are two distinct criteria of vortex stability; The po sition of the excitation energy levels relative to the condensate energy le vel yields the local stability criterion, and the total energy relative to that of the non-vortex state yields the global stability criterion. The vor tex stability phase diagram in the rotation velocity vs the particle densit y of the system is obtained, allowing one to locate the appropriate region to observe the singly quantized vortex.