Quasicondensation in 2D Interacting Bose Gas: Quantum Monte Carlo Study
  We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density correlators, which are responsible for the recombination rate in real experiments. We found that the appearance and growth of quasicondensate fluctuations changes local correlations between the particles well before the Kosterlitz-Thouless transition point. The amplitude of the $1/m!$-effect is very sensitive even to a rather moderate interaction, and is considerably smaller than its limiting value. 
Yu.Kagan, V.A.Kashurnikov, A.V.Krasavin, N.V.Prokof'ev, and B.V.   Svistunov