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arXiv · 1512.05282

Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas

Robert Seiringer·Simone Warzel
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Abstract

We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature.

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Robert Seiringer, Simone Warzel. 2016-03-01. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. https://doi.org/10.1088/1367-2630%2F18%2F3%2F035002

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