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Monte Carlo method, classical fields and Bose statistics

✍ Scribed by Emilia Witkowska; Mariusz Gajda; Kazimierz Rzążewski

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
357 KB
Volume
283
Category
Article
ISSN
0030-4018

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✦ Synopsis

In this paper we combine the classical fields method with the Monte Carlo approach for description of statistical properties of a Bose-Einstein condensate. We show that the canonical ensemble of interacting classical fields can be generated using Metropolis algorithm. We obtain a probability distribution of the condensate occupation for the weakly interacting Bose gas at low temperatures and pay a particular attention to the two momenta of this distribution: mean and variance of the condensate occupation.

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