Critical Point of a Weakly Interacting Two-Dimensional Bose Gas

Nikolay Prokof'ev; Oliver Ruebenacker; Boris Svistunov

doi:10.1103/PhysRevLett.87.270402

paper

Critical Point of a Weakly Interacting Two-Dimensional Bose Gas

arXiv:cond-mat/0106075 · doi:10.1103/PhysRevLett.87.270402

Abstract

We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical $∣ ψ ∣^{4}$ -model on a lattice. The critical density and chemical potential are given by relations $n_{c} = (m T /2 π ℏ^{2}) ln (ξ ℏ^{2} / m U)$ and $μ_{c} = (m T U / π ℏ^{2}) ln (ξ_{μ} ℏ^{2} / m U)$ , where $T$ is the temperature, $m$ is the mass, and $U$ is the effective interaction. The dimensionless constant $ξ = 380 \pm 3$ is very large and thus any quantitative analysis of the experimental data crucially depends on its value. For $ξ_{μ}$ our result is $ξ_{μ} = 13.2 \pm 0.4$ . We also report the study of the quasi-condensate correlations at the critical point.

4 pages (3 figures), Latex. Submitted to PRL

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Critical Point of a Weakly Interacting Two-Dimensional Bose Gas

Abstract

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