"Stochastic positive P-representation in problems of quantum statistics. Simulation of one-dimensional Bose-gas with delta-repulsion"
Polyakov E.A., Vorontsov-Velyaminov P.N., Lyubartsev A.P.

A method of stochastic positive P-representation for the computer simulation of thermal equilibrium and dynamical properties of many-particle quantum systems with interactions is proposed and thoroughly analyzed. The testing procedure of the method includes the evaluation of spatial correlation functions for the one-dimensional Bose-gas with delta-repulsion between particles, both in the state of thermal equilibrium and in the dynamical evolution from a given initial state. This work was supported by the Russian Foundation for Basic Research (project number 08–02–00041) and by the Royal Swedish Academy of Sciences.

Keywords: quantum dynamics, stochastic differential equations, Bose-gas, correlation functions

Polyakov E.A.   e-mail: E.A.Polyakov@gmail.com;   Vorontsov-Velyaminov P.N.   e-mail: voron.wgroup@pobox.spbu.ru;
Lyubartsev A.P.   e-mail: sasha@physc.su.se