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

Physics Letters A 373 (2009) pp. 3897-3900 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...

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Bibliographic Details
Main Author: Moreno, Gustavo A
Format: Journal Article
Language:English
Published: 07-08-2009
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Summary:Physics Letters A 373 (2009) pp. 3897-3900 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.
DOI:10.48550/arxiv.0907.3659