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

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

Research output: Contribution to journalArticle

26 Scopus citations


The exact many-body wave function obtained with the Fermi-Bose mapping theorem was used to investigate the ground-state properties of a system of hard-core bosons in a 1D HO. Monte Carlo integration for particle numbers up to N=10 was used to evaluate the reduced single-particle density matrix for the system. In the case of a true Bose-Einstein condensate, it was found that the occupation of the lowest orbital varied as N0.59, in contrast to N0.5.

Original languageEnglish (US)
Pages (from-to)336011-336016
Number of pages6
JournalPhysical Review A
Issue number3
Publication statusPublished - Mar 2001


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this