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Title: Universal correlations and coherence in quasi-two-dimensional trapped Bose gases

Abstract

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects for experimentally relevant trap geometries. Comparing with quantum Monte Carlo calculations, we quantify the onset of the fluctuation regime, where correlations beyond mean-field become important. Although the density profile depends on the microscopic parameters of the system, we show that the correlation density (the difference between the exact and the mean-field density) is accurately described by a universal expression, obtained from classical-field calculations of the homogeneous strictly two-dimensional gas. Deviations from universality, due to the finite value of the interaction or to the trap geometry, are shown to be small for current experiments. We further study coherence and pair correlations on a microscopic scale. Finite-size effects in the off-diagonal density matrix allow us to characterize the crossover from Kosterlitz-Thouless to Bose-Einstein behavior for small particle numbers. Bose-Einstein condensation occurs below a characteristic number of particles which rapidly diverges with vanishing interactions.

Authors:
 [1]; ;  [2]
  1. LPTMC, Universite Pierre et Marie Curie, 4 Place Jussieu, F-75005 Paris (France) and LPMMC, CNRS-UJF, BP 166, 38042 Grenoble (France)
  2. CNRS-Laboratoire de Physique Statistique, UPMC, Ecole Normale Superieure, 24 rue Lhomond, F-75231 Paris Cedex 05 (France)
Publication Date:
OSTI Identifier:
21408680
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.81.043622; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; BOSE-EINSTEIN GAS; CORRELATIONS; DENSITY MATRIX; FLUCTUATIONS; GEOMETRY; INTERACTIONS; MEAN-FIELD THEORY; MONTE CARLO METHOD; TRAPPING; TRAPS; TWO-DIMENSIONAL CALCULATIONS; CALCULATION METHODS; MATHEMATICS; MATRICES; VARIATIONS

Citation Formats

Holzmann, Markus, Chevallier, Maguelonne, and Krauth, Werner. Universal correlations and coherence in quasi-two-dimensional trapped Bose gases. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.043622.
Holzmann, Markus, Chevallier, Maguelonne, & Krauth, Werner. Universal correlations and coherence in quasi-two-dimensional trapped Bose gases. United States. https://doi.org/10.1103/PHYSREVA.81.043622
Holzmann, Markus, Chevallier, Maguelonne, and Krauth, Werner. Thu . "Universal correlations and coherence in quasi-two-dimensional trapped Bose gases". United States. https://doi.org/10.1103/PHYSREVA.81.043622.
@article{osti_21408680,
title = {Universal correlations and coherence in quasi-two-dimensional trapped Bose gases},
author = {Holzmann, Markus and Chevallier, Maguelonne and Krauth, Werner},
abstractNote = {We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects for experimentally relevant trap geometries. Comparing with quantum Monte Carlo calculations, we quantify the onset of the fluctuation regime, where correlations beyond mean-field become important. Although the density profile depends on the microscopic parameters of the system, we show that the correlation density (the difference between the exact and the mean-field density) is accurately described by a universal expression, obtained from classical-field calculations of the homogeneous strictly two-dimensional gas. Deviations from universality, due to the finite value of the interaction or to the trap geometry, are shown to be small for current experiments. We further study coherence and pair correlations on a microscopic scale. Finite-size effects in the off-diagonal density matrix allow us to characterize the crossover from Kosterlitz-Thouless to Bose-Einstein behavior for small particle numbers. Bose-Einstein condensation occurs below a characteristic number of particles which rapidly diverges with vanishing interactions.},
doi = {10.1103/PHYSREVA.81.043622},
url = {https://www.osti.gov/biblio/21408680}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 81,
place = {United States},
year = {2010},
month = {4}
}