Ground-state properties of hard-core bosons confined on one-dimensional optical lattices

TL;DR

This paper investigates the ground-state characteristics of hard-core bosons in one-dimensional optical lattices using an exact Jordan-Wigner approach, analyzing correlations, momentum distribution, and low-density limits.

Contribution

It provides a systematic analysis of ground-state properties of hard-core bosons in 1D lattices, including the effects of arbitrary confining potentials and comparison with continuum models.

Findings

Behavior of one-particle density matrix at large distances

Momentum distribution function characteristics

Low-density limit results and comparisons

Abstract

We study the ground-state properties of hard-core bosons trapped by arbitrary confining potentials on one-dimensional optical lattices. A recently developed exact approach based on the Jordan-Wigner transformation is used. We analyze the large distance behavior of the one-particle density matrix, the momentum distribution function, and the lowest natural orbitals. In addition, the low-density limit in the lattice is studied systematically, and the results obtained compared with the ones known for the hard-core boson gas without the lattice.