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Tans contact in a cigar-shaped dilute Bose gas

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 Added by Jean Decamp
 Publication date 2018
  fields Physics
and research's language is English




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We compute the Tans 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 Tans contact in the dimensional crossover.



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