Physics – Condensed Matter
Scientific paper
1997-12-17
Europhys. Lett., v. 43, pp. 641-647 (1998)
Physics
Condensed Matter
Published version
Scientific paper
10.1209/epl/i1998-00411-9
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.
Fleischhauer Michael
Plimak L. I.
Walls Dan F.
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