Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region

2002/06/30 by Nikolay Prokof'ev, Boris Svistunov · 2 citations
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physreva.66.043608

Revtex, 8 pages, 8 figures; submitted to Phys. Rev. A; extended discussion of effective interaction and of a trapped gas; corrected typo in Eq. (32)

arxiv created 2002/07/23 · arxiv updated 2009/11/30

Abstract

We study the crossover between the mean-field and critical behavior of the two-dimensional Bose gas throughout the fluctuation region of the Berezinskii--Kosterlitz--Thouless phase transition point. We argue that this crossover is described by universal (for all weakly interacting |psi|⁴ models) relations between thermodynamic parameters of the system, including superfluid and quasi-condensate densities. We establish these relations with high-precision Monte Carlo simulations of the classical |psi|⁴ model on a lattice, and check their asymptotic forms against analytic expressions derived on the basis of the mean-field theory.

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