Calculations of equilibrium properties of quantum systems using the expanded ensemble MC technique

Authors

  • M.A. Voznesenskiy
  • P.N. Vorontsov-Velyaminov
  • A.P. Lyubartsev

Keywords:

Monte-Carlo method
quantum statistics
path integral
density matrix

Abstract

The expanded ensemble Monte-Carlo method with the Wang-Landau algorithm is used to calculate the ratio of partition functions for each class of permuations in the problem of several interacting particles (fermions) in an external field. The complete partition function and the average energy for a system of indentical particles is obtained at finite temperatures down to their low values. Keywords: Monte-Carlo method, quantum statistics, path integral, density matrix

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Published

2008-05-23

Issue

Vol. 9 (2008): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biographies

M.A. Voznesenskiy

St Petersburg University,
Faculty of Physics

P.N. Vorontsov-Velyaminov

St Petersburg University,
Faculty of Physics

A.P. Lyubartsev

Stockholm University,
Division of Physical Chemistry, Arrhenius Laboratory
Universitetsvägen 10A, SE-106 91 Stockholm, Sweden

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