Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice

TL;DR

This paper explores how finite temperature affects the properties of one-dimensional hard-core bosons in a quasiperiodic lattice, revealing a crossover from superfluid to Bose-glass phases and associated delocalization phenomena.

Contribution

It provides an exact analysis of finite-temperature effects on one-dimensional hard-core bosons in a quasiperiodic potential using Fermi-Bose mapping.

Findings

Finite-temperature crossover from superfluid to Bose-glass.

Delocalization of lowest natural orbitals at finite temperature.

Temperature influences momentum distribution and density matrix.

Abstract

We investigate the properties of impenetrable bosons confined in a one-dimensional lattice at finite temperature in the presence of an additional incommensurate periodic potential. Relying on the exact Fermi-Bose mapping, we study the effects of temperature on the one-particle density matrix and related quantities such as the momentum distribution function and the natural orbitals. We found evidence of a finite-temperature crossover related to the zero-temperature superfluid-to-Bose-glass transition that induces a delocalization of the lowest natural orbitals.