Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region

Details Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region

2002-06-13

arxiv.org/abs/cond-mat/0206223v2

Physics

Condensed Matter

Revtex, 8 pages, 8 figures; submitted to Phys. Rev. A; extended discussion of effective interaction and of a trapped gas; corr

Scientific paper

10.1103/PhysRevA.66.043608

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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