Comment on Noise-Induced Subdiffusion in Strongly Localized Quantum Systems

Abstract

Gopalakrishnan, Islam, and Knap adopted a perturbative approach employing a method to investigate the transport in localized systems coupled to non-Markovian dephasing noise in the deeply localized limit where the single-particle hopping is the smallest energy scale. All their subsequent analytical and numerical calculations are limited to the deeply localized systems. Nevertheless, in the majority of their results, they used this approximation outside this limit which makes their results wrong. We point at these wrong results and propose the changes in the parameter values which can give correct results.