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arXiv · 1303.5637

Momentum distribution for a one-dimensional trapped gas of hard-core bosons

G. J. Lapeyre, Jr.·M. D. Girardeau·E. M. Wright
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Abstract

Using the exact $N$-particle ground state wave function for a one-dimensional gas of hard-core bosons in a harmonic trap we develop an algorithm to compute the reduced single-particle density matrix and corresponding momentum distribution. Accurate numerical results are presented for up to N=8 particles, and the momentum distributions are compared to a recent analytic approximation.

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G. J. Lapeyre, Jr., M. D. Girardeau, E. M. Wright. 2013-03-22. Momentum distribution for a one-dimensional trapped gas of hard-core bosons. https://doi.org/10.1103/physreva.66.023606

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