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

Abstract

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.

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

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bosonizing one-dimensional cold atomic gases
• Ground-state properties of hard core bosons in one-dimensional harmonic traps

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