Asymptotic non-Markovianity

TL;DR

This paper explores the long-term behavior of quantum Brownian motion, revealing that non-Markovian effects can persist indefinitely and are heavily influenced by system-environment interactions and bath spectral properties.

Contribution

It demonstrates that non-Markovianity can remain in the asymptotic regime and highlights the dependence on coupling strength and spectral density.

Findings

Non-Markovianity can persist asymptotically.

Asymptotic behavior depends on coupling and spectral density.

Long-time dynamics are significantly influenced by environment characteristics.

Abstract

We investigate the asymptotic dynamics of exact quantum Brownian motion. We find that non-Markovianity can persist in the long-time limit, and that in general the asymptotic behaviour depends strongly on the system-environment coupling and the spectral density of the bath.