Two-dimensional weakly interacting Bose gas in the fluctuation region

By N. Prokof’ev, B. Svistunov. 2002

153 citations recorded by the source corpus.

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 $|\ensuremath{\psi}{|}^{4}$ models) relations between thermodynamic parameters of the system, including superfluid and quasicondensate densities. We establish these relations with high-precision Monte Carlo simulations of the classical $|\ensuremath{\psi}{|}^{4}$ model on a lattice, and check their asymptotic forms against analytic expressions derived on the basis of the mean-field theory.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/ac65e9b7b767db6e62989bada03f2e486555e88f

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In Atomic and Molecular Physics, and Optics

  1. C. Weitenberg
  2. J. Dalibard
  3. Nathan Goldman
  4. Peter Zoller
  5. A. Polkovnikov

In Condensed Matter Physics

  1. J. Dalibard

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