Quantitative test of mean-field description of a trapped two-dimensional Bose gas
arXiv:0908.3052 · doi:10.1103/PhysRevA.80.045603
Abstract
We investigate the accuracy of two mean-field theories of the trapped two-dimensional Bose gas at predicting transition region properties by comparison to non-perturbative classical field calculations. To make these comparisons we examine the density profiles and the predictions for the Berezinskii-Kosterlitz-Thouless superfluid transition temperature over a parameter range in which the degree of thermal activation in the tightly trapped direction varies considerably. These results present an important test of these mean-field theories, and provide a characterization of their typical accuracy.
arXiv comment5 pages, 2 figures, 1 table
References in corpus (21)
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Bose-Einstein condensation in quasi2D trapped gases
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
- Observation of a 2D Bose-gas: from thermal to quasi-condensate to superfluid
- Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
- Weakly Interacting, Dilute Bose Gases in 2D
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
- The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
- Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
- Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
- Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
- Finite temperature theory of the trapped two dimensional Bose gas
- Semiclassical theory of the quasi two-dimensional trapped Bose gas
- The effect of interactions on Bose-Einstein condensation in a two-dimensional harmonic trap
- Superfluidity of an interacting trapped quasi-2D Bose gas
- Hybrid 2D surface trap for quantum simulation
- Classical Region of a Trapped Bose Gas
- Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas
- Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
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- Ab initio methods for finite temperature two-dimensional Bose gases
- Vortex Formation in Two-Dimensional Bose Gas