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

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.

RevTex file, 14 pages, 22 figures, published version

References in corpus (9)

• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Local quantum criticality in confined fermions on optical lattices
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Spatial correlations of trapped 1d bosons in an optical lattice
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
• Universal correlations of trapped one-dimensional impenetrable bosons
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Momentum distribution for a one-dimensional trapped gas of hard-core bosons

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