Quantum criticality in disordered bosonic optical lattices

TL;DR

This paper investigates the quantum critical behavior of disordered one-dimensional hard-core bosons in optical lattices, revealing how finite-temperature density distributions can identify phase transitions like superfluid to Bose glass.

Contribution

It introduces a method to determine the phase diagram and critical properties from finite-temperature density profiles using the Bose-Fermi mapping.

Findings

Universal scaling relations in quantum critical regime

Finite-temperature density distributions reveal phase boundaries

Superfluid to Bose glass transition characterized

Abstract

Using the exact Bose-Fermi mapping, we study universal properties of ground-state density distributions and finite-temperature quantum critical behavior of one-dimensional hard-core bosons in trapped incommensurate optical lattices. Through the analysis of universal scaling relations in the quantum critical regime, we demonstrate that the superfluid to Bose glass transition and the general phase diagram of disordered hard-core bosons can be uniquely determined from finite-temperature density distributions of the trapped disordered system.