Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase

Details Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase

2004-12-19

arxiv.org/abs/cond-mat/0412512v2

Phil. Mag. Lett. 85, 395 (2005)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures, major revision, to appear in Philosophical Magazine Letters

Scientific paper

10.1080/09500830500256587

We obtain a phase diagram for a trapped two-dimensional ultra-cold Bose gas. We find a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than the one for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature; a phase coherent Bose-Einstein condensate, a vortex pair plasma with a fluctuating condensate phase, and a thermal Bose gas. The existence of the vortex pair phase could be verified using current experimental setups.

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