3 years ago

Tan's contact in a cigar-shaped dilute Bose gas.

Jean Decamp, Mathias Albert, Patrizia Vignolo

We compute the Tan's contact of a weakly interacting Bose gas at zero temperature in a cigar-shaped configuration. Using an effective one-dimensional Gross-Pitaeskii equation and Bogoliubov theory, we derive an analytical formula that interpolates between the three-dimensional and the one-dimensional mean-field regimes. In the strictly one-dimensional limit, we compare our results with Lieb-Liniger theory. Our study can be a guide for actual experiments interested in the study of Tan's contact in the dimensional crossover.

Publisher URL: http://arxiv.org/abs/1801.05675

DOI: arXiv:1801.05675v1

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