### Abstract

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 N^{0.59}, in contrast to N^{0.5}.

Original language | English (US) |
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Article number | 0336011 |

Pages (from-to) | 336011-336016 |

Number of pages | 6 |

Journal | Physical Review A. Atomic, Molecular, and Optical Physics |

Volume | 63 |

Issue number | 3 |

State | Published - Mar 2001 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

Girardeau, M. D., Wright, E. M., & Triscari, J. M. (2001). Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap.

*Physical Review A. Atomic, Molecular, and Optical Physics*,*63*(3), 336011-336016. [0336011].