Critical Temperature of Interacting Bose Gases in Two and Three Dimensions

S. Pilati, S. Giorgini, and N. Prokof’ev
Phys. Rev. Lett. 100, 140405 – Published 9 April 2008

Abstract

We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale path integral Monte Carlo simulations (with up to N=105 particles). In 3D we investigate the limits of the universal critical behavior in terms of the scattering length alone by using different models for the interatomic potential. We find that this type of universality sets in at small values of the gas parameter na3104. This value is different from the estimate na3106 for the validity of the asymptotic expansion in the limit of vanishing na3. In 2D we study the Berezinskii-Kosterlitz-Thouless transition of a gas with hard-core interactions. For this system we find good agreement with the classical lattice |ψ|4 model up to very large densities. We also explain the origin of the existing discrepancy between previous studies of the same problem.

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  • Received 22 January 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.140405

©2008 American Physical Society

Authors & Affiliations

S. Pilati and S. Giorgini

  • Dipartimento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy

N. Prokof’ev

  • Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • Theoretische Physik, ETH Zürich, CH-8093 Zürich, Switzerland
  • Russian Research Center “Kurchatov Institute,” 123182 Moscow, Russia

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Issue

Vol. 100, Iss. 14 — 11 April 2008

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