Effect of Markov and Non-Markov Classical Noise on Entanglement Dynamics

TL;DR

This paper investigates how classical Markovian and non-Markovian noise influence entanglement dynamics in two particles undergoing quantum walks, revealing different decay and revival behaviors based on environmental memory effects.

Contribution

It provides a comparative analysis of entanglement decay and revival under Markovian and non-Markovian classical noise in quantum walk systems, highlighting the role of environmental memory.

Findings

Markovian noise causes exponential entanglement decay.

Non-Markovian noise can induce entanglement revival or sudden death.

Memory effects significantly influence entanglement dynamics.

Abstract

We analyze the effect of a classical noise into the entanglement dynamics between two particles, initially entangled, subject to continuous time quantum walks in a one-dimensional lattice. The noise is modeled by randomizing the transition amplitudes from one site to another. Both Markovian and non-Markovian environments are considered. For the Markov regime an exponential decay of the initial quantum correlation is found, while the loss of coherence of the quantum state increases monotonically with time up to a saturation value depending upon the degrees of freedom of the system. For the non-Markov regime the presence or absence of entanglement revival and entanglement sudden death phenomena is found or deduced depending on the peculiar characteristics of the noise. Our results indicate that the entanglement dynamics in the non-Markovian regime is affected by the persistence of the memory effects of the environment and by its intrinsic features.