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arXiv · 0907.3659

High-momentum tail in the Tonks-Girardeau gas under general confining potentials

Gustavo A. Moreno
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Abstract

We prove that the ground state momentum distribution of a one-dimensional system of impenetrable bosons exhibits a $k^{-4}$ tail for any confining potential. We also derive an expression for easily computing the asymptotic occupation numbers and verify our results with an exact numerical approach.

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Gustavo A. Moreno. 2009-08-07. High-momentum tail in the Tonks-Girardeau gas under general confining potentials. https://doi.org/10.1016/j.physleta.2009.08.037

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