Phys. Rev. A 66, 023606 (2002) [6 pages]

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

Abstract

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G. J. Lapeyre, Jr.^*, M. D. Girardeau^†, and E. M. Wright^‡
Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721

Received 11 April 2002; published 15 August 2002

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.66.023606

DOI:

10.1103/PhysRevA.66.023606

PACS:

03.75.Fi, 05.30.Jp

^*Electronic address: lapeyre@physics.arizona.edu

^†Electronic address: girardeau@optics.arizona.edu

^‡Electronic address: Ewan.Wright@optics.arizona.edu

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Phys. Rev. A 66, 023606 (2002) [6 pages]

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