Kosterlitz-Thouless Transition of the Quasi-Two-Dimensional Trapped Bose Gas

2007/10/26 by Markus Holzmann, Werner Krauth · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.100.190402

published as Physical Review Letters 100, 190402 (2008) · 4 pages, 4 figures

arxiv created 2007/10/26 · openalex publication_date 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We use quantum Monte Carlo methods to compute the density profile, the nonclassical moment of inertia, and the condensate fraction of an interacting quasi-two-dimensional trapped Bose gas with up to N ~ 5 x 10(5) atoms and parameters closely related to recent experiments. We locate the Kosterlitz-Thouless temperature T(KT) and discuss intrinsic signatures of the onset of superfluidity in the density profile. Below T(KT), the condensate fraction is macroscopic even for our largest systems and decays only slowly with system size. We show that the thermal population of excited states in the transverse direction changes the two-dimensional density profile noticeably in both the normal and the superfluid phase.

Citations

• Quantum Monte Carlo Calculations for a Large Number of Bosons in a Harmonic Trap
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems
• Path integrals in the theory of condensed helium
• Universal relaxational dynamics near two-dimensional quantum critical points

Cited by

• Critical properties of a trapped interacting Bose gas
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas