Phase transition to Bose-Einstein condensation for a Bosonic gas confined in a combined trap
Abstract
We present a study of phase transition to macroscopic superfluidity for an ultracold bosonic gas confined in a combined trap formed by a one-dimensional optical lattice and a harmonic potential, focusing on the critical temperature of this system and the interference patterns of the Bose gas released from the combined trap. Based on a semiclassical energy spectrum, we develop an analytic approximation for the critical temperature , and compare the analytic results with that obtained by numerical computations. For finite temperatures below , we calculate the interference patterns for both the normal gas and the superfluid gas. The total interference pattern shows a feature of ``peak-on-a-peak". As a comparison, we also present the experimentally observed interference patterns of Rb atoms released from a one-dimensional optical lattice system in accord with our theoretical model. Our observations are consistent with the theoretical results.
Keywords
Cite
@article{arxiv.1011.3140,
title = {Phase transition to Bose-Einstein condensation for a Bosonic gas confined in a combined trap},
author = {Baolong Lü and Xinzhou Tan and Bing Wang and Lijuan Cao and Hongwei Xiong},
journal= {arXiv preprint arXiv:1011.3140},
year = {2015}
}
Comments
Author's address has been corrected; Typos corrected; Grammar errors corrected