Comment on Noise-Induced Subdiffusion in Strongly Localized Quantum Systems

TL;DR

This paper critiques a previous study on noise-induced subdiffusion in localized quantum systems, highlighting errors due to inappropriate approximations and proposing corrections for accurate analysis.

Contribution

It identifies inaccuracies in prior work's results caused by extending localized limit assumptions beyond their valid regime and suggests proper parameter adjustments.

Findings

Previous results were incorrect due to inappropriate approximation use.

Corrected parameter values yield accurate transport behavior.

Highlights importance of valid approximation regimes in quantum localization studies.

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.