Thermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate
Abstract
Three distinct types of behaviour have recently been identified in the two-dimensional trapped bosonic gas, namely; a phase coherent Bose-Einstein condensate (BEC), a Berezinskii-Kosterlitz-Thouless-type (BKT) superfluid and normal gas phases in order of increasing temperature. In the BKT phase the system favours the formation of vortex-antivortex pairs, since the free energy is lowered by this topological defect. We provide a simple estimate of the free energy of a dilute Bose gas with and without such vortex dipole excitations and show how this varies with particle number and temperature. In this way we can estimate the temperature for cross-over from the coherent BEC to the (only) locally ordered BKT-like phase by identifying when vortex dipole excitations proliferate. Our results are in qualitative agreement with recent, numerically intensive, classical field simulations.
Cite
@article{arxiv.cond-mat/0601500,
title = {Thermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate},
author = {Daniel Schumayer and David A. W. Hutchinson},
journal= {arXiv preprint arXiv:cond-mat/0601500},
year = {2007}
}
Comments
5 pages, 3 figures v2: restructured and minor corrections were made