Non-Markovian dynamics from band edge effects and static disorder

TL;DR

This paper investigates how static disorder and band edge effects influence non-Markovian dynamics in a bosonic bath, extending previous weak-coupling results to finite-band scenarios.

Contribution

It extends prior work by analyzing non-Markovianity beyond weak coupling, considering finite-band effects and their interplay with static disorder.

Findings

Static disorder induces non-Markovianity in atom emission.

Band edge effects significantly influence non-Markovian behavior.

The interplay between disorder and band edges enhances non-Markovian dynamics.

Abstract

It was recently shown [S. Lorenzo et al., Sci. Rep. 7, 42729 (2017)] that the presence of static disorder in a bosonic bath - whose normal modes thus become all Anderson-localised - leads to non-Markovianity in the emission of an atom weakly coupled to it (a process which in absence of disorder is fully Markovian). Here, we extend the above analysis beyond the weak-coupling regime for a finite-band bath so as to account for band edge effects. We study the interplay of these with static disorder in the emergence of non-Markovian behaviour in terms of a suitable non-Markovianity measure.