Thermodynamically activated vortex-dipole formation in a two-dimensional Bose-Einstein condensate
arXiv:cond-mat/0601500 · doi:10.1103/PhysRevA.75.015601
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.
5 pages, 3 figures v2: restructured and minor corrections were made
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Cited by in corpus (6)
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Vortex pairing in two-dimensional Bose gases
- Observation of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas
- Propagating and annihilating vortex dipoles in the Gross-Pitaevskii equation
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- Vortex Formation in Two-Dimensional Bose Gas