Abstract

We evaluate the thermodynamic critical angular velocity Ω c ( 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 Ω c ( 0 ) is nevertheless approximately useful up to T ≃ 0.5 T c .

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