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.
Highlights
Quantum entanglement represents undoubtedly one of the most peculiar aspects of quantum mechanics as it can be viewed as the furthest departure of the quantum world from the classical one [1]
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
It is still very important to analyze the effect of the various kinds of environmental noise on the entanglement dynamics in realistic quantum systems which can exhibit peculiar phenomena, such as entanglement sudden death (ESD), and entanglement revival (ER) [5]
Summary
Quantum entanglement represents undoubtedly one of the most peculiar aspects of quantum mechanics as it can be viewed as the furthest departure of the quantum world from the classical one [1]. It gives the possibility to Effect of Markov and non-Markov Classical Noise on Entanglement Dynamics 3 connect the transition from quantum to classical behavior of the two particles to the features of the environmental noise (correlation time), as suggested by investigations on the diffusion of single-particle wavepackets [10]. This connection could be viewed as a valid guideline to study in details, and, possibly, to clarify how Markov and non-Markov classical noise affect the occurrence of ESD and ER.
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