EFFECT OF MARKOV AND NON-MARKOV CLASSICAL NOISE ON ENTANGLEMENT DYNAMICS

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-...

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Bibliographic Details
Published inFluctuation and noise letters Vol. 11; no. 3; pp. 1242003 - 1242010
Main Authors BORDONE, PAOLO, BUSCEMI, FABRIZIO, BENEDETTI, CLAUDIA
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.09.2012
Subjects
Decay
Dynamic tests
Dynamical systems
Dynamics
Entanglement
Markov processes
Mathematical analysis
Noise
Markov and non-Markov noise
Entanglement
decoherence
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Summary: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.
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ISSN:0219-4775
1793-6780
DOI:10.1142/S0219477512420035