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

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

2002-09-12

arxiv.org/abs/cond-mat/0209300v2

Phys. Rev. A 67 (2003) 041601(R)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 EPS-figures, one reference added

Scientific paper

10.1103/PhysRevA.67.041601

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.

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