Stochastic positive P-representation in problems of quantum statistics. Simulation of one-dimensional Bose-gas with delta-repulsion

Authors

  • E.A. Polyakov
  • E.A. Polyakov
  • A.P. Lyubartsev

Keywords:

quantum dynamics
stochastic differential equations
Bose-gas
correlation functions

Abstract

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.

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Published

2020-11-10

Issue

Vol. 10 (2009): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biographies

E.A. Polyakov

St Petersburg University,
Faculty of Physics
• PhD Student

E.A. Polyakov

St Petersburg University,
Faculty of Physics
• Professor

A.P. Lyubartsev

St Petersburg University,
Faculty of Physics
• Professor

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