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arXiv · 2003.05868

Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas

Pierre Devillard·Denis Chevallier·Patrizia Vignolo·Mathias Albert
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Abstract

We compute the fluctuations of the number of bosons with a given momentum for the Tonks-Girardeau gas at zero temperature. We show that correlations between opposite momenta, which is an important fingerprint of long range order in weakly interacting Bose systems, are suppressed and that the full distribution of the number of bosons with non zero momentum is exponential. The distribution of the quasi-condensate is however quasi Gaussian. Experimental relevance of our findings for recent cold atoms experiments are discussed.

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Pierre Devillard, Denis Chevallier, Patrizia Vignolo, Mathias Albert. 2020-03-12. Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas. https://doi.org/10.1103/physreva.101.063604

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