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

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• 作者：Gustavo A. Moreno
• 关键词：Tonks– ; Girardeau gas ; Momentum distribution
• 刊名：Physics Letters A
• 出版年：2009
• 出版时间：12 October 2009
• 年：2009
• 卷：373
• 期：42
• 页码：3897-3900
• 全文大小：146 K

文摘

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.