Quantum Correlations in Two-Particle Anderson Localization

TL;DR

This paper predicts how quantum correlations between two non-interacting particles evolve in a disordered medium, revealing unique features influenced by quantum statistics and initial conditions, with observable effects in light and cold atoms.

Contribution

It introduces a theoretical prediction of quantum correlation dynamics in two-particle Anderson localization, highlighting effects dependent on quantum statistics and initial separation.

Findings

Correlation features depend on quantum statistics and initial separation.

Localized particles exhibit oscillatory correlations within the localization length.

Effects are observable in non-classical light and ultra-cold atom experiments.

Abstract

We predict the quantum correlations between non-interacting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson localization, the two-particle correlation develops unique features that depend on the quantum statistics of the particles and their initial separation. On short time scales, the localization of one particle becomes dependent on whether the other particle is localized or not. On long time scales, the localized particles show oscillatory correlations within the localization length. These effects can be observed in Anderson localization of non-classical light and ultra-cold atoms.