On translational superfluidity and the Landau criterion for Bose gases in the Gross–Pitaevski limit
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Publication:3531165
DOI10.1088/1751-8113/41/39/392006zbMATH Open1150.82030arXiv0711.3900OpenAlexW3121523160MaRDI QIDQ3531165
Publication date: 21 October 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Abstract: The two-fluid and Landau criteria for superfluidity are compared for trapped Bose gases. While the two-fluid criterion predicts translational superfluidity, it is suggested, on the basis of the homogeneous Gross-Pitaevski limit, that a necessary part of Landau's criterion, adequate for non-translationally invariant systems, d oes not hold for trapped Bose gases in the GP limit. As a consequence, if the compressibility is detected to be very large (infinite by experimental standards) the two-fluid criterion is seen to be the relevant one in case the system is a tranlational superfluid, while the Landau criterion is the relevant one if translational superfluidity is absent.
Full work available at URL: https://arxiv.org/abs/0711.3900
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