Temperature dependence of the energy of a vortex in a two-dimensional Bose gas
Date
2004
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Source Title
Physics Letters, Section A: General, Atomic and Solid State Physics
Print ISSN
0375-9601
Electronic ISSN
1873-2429
Publisher
Elsevier
Volume
328
Issue
6
Pages
500 - 504
Language
English
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Abstract
We evaluate the thermodynamic critical angular velocity Ωc(T) for creation of a vortex of lowest quantized angular momentum in a strictly two-dimensional Bose gas at temperature T, using a mean-field two-fluid model for the condensate and the thermal cloud. Our results show that (i) a Thomas-Fermi description of the condensate badly fails in predicting the particle density profiles and the energy of the vortex as functions of T; and (ii) an extrapolation of a simple Thomas-Fermi formula for Ωc(0) is nevertheless approximately useful up to T≃0.5Tc.
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Keywords
03.75.Fi , 05.30.Jp , 32.80.Pj , Bose gases , Thomas-Fermi theory , Vortex energy , Cloud , Density , Energy , Evaluation , Gas , Liquid , Particulate matter , Polymerization , Prediction , Temperature , Temperature dependence , Thermodynamics , Velocity , Vortex motion