Quantum coherence and non-Markovianity in a noisy quantum tunneling problem

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, focusing on a narrow range of 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-Markovian dynamics except a region in which these two tend to change their behavior at the intermediate noise color for two initial states.

Automated summary

We investigated the coherence and non-Markovianity of a quantum tunneling system with fluctuating barrier and modulated energy gap. By using the averaging method, we analytically derived the system dynamics and obtained the analytical expressions for coherence measure and non-Markovianity in a narrow range of parameter regimes for coherent and non-coherent initial states. Non-Markovian dynamics were observed in a high Kubo number scenario. We also found that there is no strong relation between the coherence of the system and non-Markovian dynamics, except for an intermediate noise color region for two initial states.