Geodesic
Stochastic positive P-representation in problems of quantum statistics.
Numerical methods and programming, Tome 10 (2009) no. 2, pp. 223-247

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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. 
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     title = {Stochastic positive {P-representation} in problems of quantum statistics.},
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E. A. Polyakov; P. N. Vorontsov-Velyaminov; A. P. Lyubartsev. Stochastic positive P-representation in problems of quantum statistics.. Numerical methods and programming, Tome 10 (2009) no. 2, pp. 223-247. http://geodesic.mathdoc.fr/item/VMP_2009_10_2_a5/