Anderson Localization with Second Quantized Fields: Quantum Statistical Aspects

TL;DR

This paper theoretically investigates how Anderson localization affects nonclassical light, revealing quantum statistical signatures, enhanced fluctuations, superbunching, and the influence of disorder type on localization speed.

Contribution

It introduces a quantum statistical analysis of localized light, highlighting effects like superbunching and fluctuation quenching, and compares disorder distributions.

Findings

Localized light shows quantum statistical signatures.

Disorder enhances fluctuations and causes superbunching.

Gaussian disorder accelerates light localization.

Abstract

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as site-to-site correlations, that the localized light carries signatures of quantum statistics of input light. For comparison, we also present results for input light with coherent field statistics and thermal field statistics. Our results show that there is an enhancement in fluctuations of localized light due to the medium's disorder. We also find superbunching of the localized light, which may be useful for enhancing the interaction between radiation and matter. Another important consequence of sub-Poissonian statistics of the incoming light is to quench the total fluctuations at the output. Finally, we compare the effects of Gaussian and Rectangular distributions for the disorder, and show that Gaussian disorder accelerates the localization of light.