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

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

2009-07-21

arxiv.org/abs/0907.3659v2

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

Physics

Condensed Matter

Quantum Gases

Minor modifications

Scientific paper

10.1016/j.physleta.2009.08.037

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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