Density of states in an optical speckle potential

TL;DR

This paper analyzes the single-particle density of states in a correlated, non-Gaussian one-dimensional speckle potential, revealing different localization regimes and validating results with numerical simulations.

Contribution

It provides a theoretical calculation of the density of states in a speckle potential considering correlations and non-Gaussian statistics, which was not thoroughly explored before.

Findings

Good agreement between analytical and numerical results

Identification of different localization regimes based on a key parameter

Characterization of density of states in correlated speckle potentials

Abstract

We study the single particle density of states of a one-dimensional speckle potential, which is correlated and non-Gaussian. We consider both the repulsive and the attractive cases. The system is controlled by a single dimensionless parameter determined by the mass of the particle, the correlation length and the average intensity of the field. Depending on the value of this parameter, the system exhibits different regimes, characterized by the localization properties of the eigenfunctions. We calculate the corresponding density of states using the statistical properties of the speckle potential. We find good agreement with the results of numerical simulations.