Nonclassical properties and Anderson localization of quantum states in coupled waveguides

TL;DR

This paper investigates how disordered coupled waveguides affect the propagation and quantum properties of light, revealing that high disorder can preserve certain quantum features despite localization effects.

Contribution

It introduces a numerical analysis of nonclassical quantum states in disordered waveguide lattices, exploring the interplay between Anderson localization and quantum state evolution.

Findings

High disorder preserves quantum properties of certain input states.

Numerical reconstruction of Wigner functions shows quantum state evolution.

Disorder influences localization and quantum state characteristics.

Abstract

We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam is initially in a variety of states, such as the complementary coherent state, the reciprocal binomial state, and the polynomial state. The statistical properties of the evolved states were analyzed numerically as functions of the localization/delocalization parameters averaged over many realizations of disorder. We also numerically reconstruct the Wigner function of the output state. Interestingly, we find that high values of the disorder tend to preserve quantum properties of some input states when we look at the input waveguide despite the coupling between it and the neighboring waveguides.