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Thermal Properties of Interacting Bose Fields and Imaginary-Time Stochastic Differential Equations

Authors
  • Plimak, L. I.
  • Fleischhauer, M.
  • Walls, D. F.
Type
Published Article
Publication Date
Oct 07, 1998
Submission Date
Dec 16, 1997
Identifiers
DOI: 10.1209/epl/i1998-00411-9
arXiv ID: cond-mat/9712194
Source
arXiv
License
Unknown
External links

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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