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

Marcos Rigol·Alejandro Muramatsu
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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 $λ_η$ of the natural orbitals for large-$η$ 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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Marcos Rigol, Alejandro Muramatsu. 2004-09-29. Universal properties of hard-core bosons confined on one-dimensional lattices. https://doi.org/10.1103/physreva.70.031603

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