English

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

Quantum Gases 2018-03-21 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1801.05675,
  title  = {Tan's contact in a cigar-shaped dilute Bose gas},
  author = {Jean Decamp and Mathias Albert and Patrizia Vignolo},
  journal= {arXiv preprint arXiv:1801.05675},
  year   = {2018}
}