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

M. D. Girardeau, E. M. Wright, J. M. Triscari

Research output: Contribution to journalArticle

156 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number033601
Pages (from-to)1-6
Number of pages6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume63
Issue number3
DOIs
StatePublished - Dec 1 2001

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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