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.

A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions / L. Giorgetti, I. Carusotto, Y. Castin. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 76:1(2007), pp. 013613.013613.1-013613.013613.18. [10.1103/PhysRevA.76.013613]

A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions

L. Giorgetti;
2007

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.
Boson systems ; vortices ; classical field theory
Settore FIS/03 - Fisica della Materia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/39416
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