Non-Markovianity and Clauser-Horne-Shimony-Holt (CHSH)-Bell inequality violation in quantum dissipative systems

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2012

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Lohe, T.
Devi, U.

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Journal of Chemical Physics, 2012; 137(21, article no. 215103):1-13

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We examine the non-Markovian dynamics in a multipartite system of two initially correlated atomic qubits, each located in a single-mode leaky cavity and interacting with its own bosonic reservoir. We show the dominance of non-Markovian features, as quantified by the difference in fidelity of the evolved system with its density matrix at an earlier time, in three specific two-qubit partitions associated with the cavity-cavity and atom-reservoir density matrices within the same subsystem, and the cavity-reservoir reduced matrix across the two subsystems. The non-Markovianity in the cavitycavity subsystem is seen to be optimized in the vicinity of the exceptional point. The Clauser-Horne- Shimony-Holt (CHSH)-Bell inequality computed for various two-qubit partitions show that high non-locality present in a specific subsystem appears in conjunction with enhanced non-Markovian dynamics in adjacent subsystems. This is in contrast to the matching existence of non-locality and quantum correlations in regions spanned by time t and the cavity decay rate, λc for select partitions. We discuss the applicability of these results to photosynthetic systems.

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Copyright 2012 American Institute of Physics. Access Condition Notes: This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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