Thermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate

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dc.creatorSchumayer, Daniel
dc.creatorHutchinson, David A. W.
dc.date2006-01-22
dc.date2006-10-12
dc.date.accessioned2026-07-07T07:46:28Z
dc.date.available2026-07-07T07:46:28Z
dc.descriptionThree 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.
dc.description5 pages, 3 figures v2: restructured and minor corrections were made
dc.identifierhttps://arxiv.org/abs/cond-mat/0601500
dc.identifierhttp://arxiv.org/abs/cond-mat/0601500
dc.identifierPhys. Rev. A 75, 015601 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.015601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123841
dc.subjectStatistical Mechanics
dc.titleThermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate
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