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Phys. Rev. A 63, 033601 (2001) [6 pages]

Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap

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M. D. Girardeau, E. M. Wright, and J. M. Triscari
Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721

Received 29 August 2000; published 5 February 2001

The exact N-particle ground-state wave function for a one-dimensional condensate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N0.59, in contrast to N0.5 for a spatially uniform system, and N for a true Bose-Einstein condensate.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.033601
DOI:
10.1103/PhysRevA.63.033601
PACS:
03.75.Fi, 05.30.Jp, 03.65.Ge