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We analyze the effect of a classical noise into the entanglement dynamicsbetween two particles, initially entangled, subject to continuous time quantumwalks in a one-dimensional lattice. The noise is modeled by randomizing thetransition amplitudes from one site to another. Both Markovian andnon-Markovian environments are considered. For the Markov regime an exponentialdecay of the initial quantum correlation is found, while the loss of coherenceof the quantum state increases monotonically with time up to a saturation valuedepending upon the degrees of freedom of the system. For the non-Markov regimethe presence or absence of entanglement revival and entanglement sudden deathphenomena is found or deduced depending on the peculiar characteristics of thenoise. Our results indicate that the entanglement dynamics in the non-Markovianregime is affected by the persistence of the memory effects of the environmentand by its intrinsic features.

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