Thermal Properties of Interacting Bose Fields and Imaginary-Time Stochastic Differential Equations
Condensed Matter
2009-10-30 v2
Abstract
Matsubara Green's functions for interacting bosons are expressed as classical statistical averages corresponding to a linear imaginary-time stochastic differential equation. This makes direct numerical simulations applicable to the study of equilibrium quantum properties of bosons in the non-perturbative regime. To verify our results we discuss an oscillator with quartic anharmonicity as a prototype model for an interacting Bose gas. An analytic expression for the characteristic function in a thermal state is derived and a Higgs-type phase transition discussed, which occurs when the oscillator frequency becomes negative.
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Cite
@article{arxiv.cond-mat/9712194,
title = {Thermal Properties of Interacting Bose Fields and Imaginary-Time Stochastic Differential Equations},
author = {L. I. Plimak and M. Fleischhauer and D. F. Walls},
journal= {arXiv preprint arXiv:cond-mat/9712194},
year = {2009}
}
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