Universal properties of hard-core bosons confined on one-dimensional lattices

Details Universal properties of hard-core bosons confined on one-dimensional lattices Universal properties of hard-core bosons confined on one-dimensional lattices

2004-03-02

arxiv.org/abs/cond-mat/0403078v2

Phys. Rev. A 70, 031603(R) (2004)

Physics

Condensed Matter

Statistical Mechanics

Revtex file, 5 pages, 5 figures. Content and references added. Published version

Scientific paper

10.1103/PhysRevA.70.031603

Based on an exact treatment of hard-core bosons confined on one-dimensional lattices, we obtain the large distance behavior of the one-particle density matrix, and show how it determines the occupation of the lowest natural orbital in the thermodynamic limit. We also study the occupation $\lambda_{\eta}$ of the natural orbitals for large-$\eta$ at low densities. Both quantities show universal behavior independently of the confining potential. Finite-size corrections and the momentum distribution function for finite systems are also analyzed.

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