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

R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).

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Journal Article | Published | English
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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.
Publishing Year
Date Published
2016-02-29
Journal Title
New Journal of Physics
Volume
18
Issue
3
Article Number
035002
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Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3). doi:10.1088/1367-2630/18/3/035002
Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics, 18(3). https://doi.org/10.1088/1367-2630/18/3/035002
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics 18, no. 3 (2016). https://doi.org/10.1088/1367-2630/18/3/035002.
R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3, 2016.
Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3).
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
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