Quantum Coherence and non-Markovianity in a Noisy Quantum Tunneling Problem

TL;DR

This paper analytically explores how noise influences quantum coherence and non-Markovian behavior in a tunneling system, revealing conditions under which non-Markovianity arises and its relation to coherence.

Contribution

It provides analytical expressions for coherence and non-Markovianity in a noisy quantum tunneling system, highlighting the effects of telegraph and Gaussian noise.

Findings

Non-Markovian dynamics occur at high Kubo numbers.

No strong correlation between coherence and non-Markovianity generally.

Intermediate noise color can cause coherence and non-Markovianity to change behavior.

Abstract

We investigate the coherence and non-Markovianity of a quantum tunneling system whose barrier is fluctuated by a telegraph noise, and its energy gap is modulated by Gaussian noise. With the help of averaging method, the system dynamics are analytically derived, and the analytical expression for coherence measure and non-Markovianity for the very limited parameter regimes for both initially coherent and non-coherent states are obtained. We observe non-Markovian dynamics in a situation where the Kubo number is high. It is also found that there is no strong relation between the coherence of the system and non-Markovianity dynamics except in a region in which these two tend to change their behavior at the intermediate noise color for two initial states.