Critical points of a quasi two-dimensional harmonically trapped Bose gas

Ahmed S. Hassan, Azza M. El-Badry

Serena Cenatiempo, Alessandro Giuliani

Tapio Simula

R. N. Bisset, D. Baillie, P. B. Blakie

We provide an in-depth analysis of the theory proposed by Holzmann, Chevallier, and Krauth (HCK) [Europhys. Lett. 82, 30001 (2008)] for predicting the temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition to a superfluid state occurs in the harmonically trapped quasi-two-dimensional (2D) Bose gas. Their theory is based on a mean-field model of the system density, and we show that the HCK predictions change appreciably when an improved mean-field theory and identification of the transition point is used. In this analysis we develop a consistent theory that provides a lower bound for the BKT transition temperature in the trapped quasi-2D Bose gas.

Luo Yun-wen, Jisheng Chen

In this paper, we investigate excited characteristic of the weakly interacting quasi-one-dimensional (1D) and quasi-two-dimensional (2D) Bose—Einstein condensation (BEC) in harmonic potential trap. The energy spectrum and the analytical expression of the sound velocity are obtained and analyzed. Compared with 3-Dimensional homogeneous Bose-condensed gas occasion, the sound velocity of 2D Bose-Einstein condensation in harmonic potential trap is smaller.

罗运文, 陈继胜

In this paper, we investigate excited characteristic of the weakly interacting quasi-one-dimensional(1D) and quasi-two-dimensional(2D) Bose–Einstein condensation(BEC) in harmonic potential trap. The energy spectrum and the analytical expression of the sound velocity are obtained and analyzed. Compared with 3-Dimensional homogeneous Bose-condensed gas occasion, the sound velocity of 2D Bose-Einstein condensation in harmonic potential trap is smaller.