Semiclassical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions

Year: 2007

Authors: Giorgetti L., Carusotto I., Castin Y.

Autors Affiliation: CNR-BEC-INFM and Dipartimento di Fisica, Università di Trento, I-38050 Povo, Italy;
Laboratoire Kastler Brossel, Ecole normale supérieure, UPMC, CNRS, 24 rue Lhomond, F-75231 Paris Cedex 5, France

Abstract: We develop a semiclassical field method for the study of the weakly interacting Bose gas at finite temperature which, contrary to the usual classical field model, does not suffer from an ultraviolet cutoff dependence. We apply the method to the study of thermal vortices in spatially homogeneous, two-dimensional systems. We present numerical results for the vortex density and the vortex pair distribution function. Insight in the physics of the system is obtained by comparing the numerical results with the predictions of simple analytical models. In particular, we calculate the activation energy required to form a vortex pair at low temperature.

Journal/Review: PHYSICAL REVIEW A

Volume: 76      Pages from: 013613-1  to: 013613-18

KeyWords: Quantum Monte Carlo; two dimensional Bose gas; vortices
DOI: 10.1103/PhysRevA.76.013613

Citations: 27
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