Scaling of noise correlations in one-dimensional-lattice-hard-core-boson systems

TL;DR

This paper investigates how noise correlations in one-dimensional hard-core boson systems scale with system size across different phases and lattice configurations, revealing phase-dependent scaling behaviors.

Contribution

It provides an exact numerical analysis of noise correlation scaling in 1D hard-core bosons using Bose-Fermi mapping across various lattice types.

Findings

Superfluid phases show a density-independent linear scaling of leading noise correlations.

Subleading noise correlations follow a density-dependent power-law scaling.

Results apply to homogeneous, superlattice, and disordered lattice systems.

Abstract

Noise correlations are studied for systems of hard-core bosons in one-dimensional lattices. We use an exact numerical approach based on the Bose-Fermi mapping and properties of Slater determinants. We focus on the scaling of the noise correlations with system size in superfluid and insulating phases, which are generated in the homogeneous lattice, with period-two superlattices and with uniformly distributed random diagonal disorder. For the superfluid phases, the leading contribution is shown to exhibit a density-independent scaling proportional to the system size, while the first subleading term exhibits a density-dependent power-law exponent.