Enhancing quantum coherence with short-range correlated disorder

TL;DR

This paper introduces a 2D short-range correlated disorder model that induces localization-delocalization transitions and enhances quantum coherence in weakly-interacting boson gases, extending known 1D results.

Contribution

It generalizes the 1D dual random dimer model to 2D and demonstrates its effects on quantum coherence and condensate properties in many-body systems.

Findings

Induces localization-delocalization transition in 2D spectrum

Enhances condensate homogeneity and delocalization

Increases condensate fraction near effective resonance

Abstract

We introduce a two-dimensional short-range correlated disorder that is the natural generalization of the well-known one-dimensional dual random dimer model [Phys. Rev. Lett 65, 88 (1990)]. We demonstrate that, as in one dimension, this model induces a localization-delocalization transition in the single-particle spectrum. Moreover we show that the effect of such a disorder on a weakly-interacting boson gas is to enhance the condensate spatial homogeneity and delocalisation, and to increase the condensate fraction around an effective resonance of the two-dimensional dual dimers. This study proves that short-range correlations of a disordered potential can enhance the quantum coherence of a weakly-interacting many-body system.