Ground-state properties of hard core bosons in one-dimensional harmonic traps

Preprint

20 September 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0209300

Abstract

The one-particle density matrices for hard core bosons in a one-dimensional harmonic trap are computed numerically for systems with up to 160 bosons. Diagonalization of the density matrix shows that the many-body ground state is not Bose-Einstein condensed. The ground state occupation, the amplitude of the lowest natural orbital, and the zero momentum peak height scale as powers of the particle number, and the corresponding exponents are related to each other. Close to its diagonal, the density matrix for hard core bosons is similar to the one of noninteracting fermions.

Keywords

DIMENSIONAL HARMONIC TRAP
HARD CORE BOSONS
STATE PROPERTIES
HARMONIC TRAPS
TRAPS

All Related Versions

Version 1, 2002-09-12, ArXiv
Version 2, 2002-09-20, ArXiv
Published version: Physical Review A, 67 (4), 041601.

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