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Annals of Physics

Dynamics of quantum correlations

O. Kübler, H. D. Zeh

Published Apr 1, 1973• 146 citations
Publisher
DOI
10.1016/0003-4916(73)90040-7

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We study the dynamics of quantum and classical correlations in a two-qutrit system coupled to independent reservoirs. In particular, we address the differences in the dynamics of Markovian and non-Markovian regimes and show that for specific initial states, classical correlations exhibit abrupt changes along the dynamics. A particular sudden change occurs when the classical correlations freeze to a certain value at a given time, revealing the apparition of a pointer-state basis. After this given time, the decoherence only affects quantum correlations. Here we identify two regimes in the decoherence dynamics: a mixed regime when both classical and quantum correlations decay and a quantum regime when only quantum correlations decay. We show that the freezing of classical correlations can be stable or metastable depending on the system-reservoir parameters. In the long-time limit, we find analytical expressions for the pointer-state basis the system settles in and consequently for classical and quantum correlations.
In this paper we argue about the quantum correlation (quantum entanglement and geometric quantum discord) in four-qubit XXZ Heisenberg Model. Here, the influence of uniform magnetic field on the dynamics of quantum correlation in cases of the antiferromagnetism has been mainly investigated. According to the results, it has been illustrated that the role of the uniform magnetic field on the dynamics of quantum correlation depends on the selection of the initial state. Furthermore, geometric quantum discord exhibits greater robustness compared to quantum entanglement. Also results show that the max values of quantum correlations decrease and the duration of quantum entanglement sudden death gets longer as purity parameter decreases, and that exchange interaction can substantially make an effect on the dynamics of the quantum correlation.
We investigate the quantum correlation dynamics of two separated continuous variable systems for which, the system comprises a pair of two-level atoms coupled to two cavities. Particularly, we consider two initially separable (non-entangled) states and Werner states which locally interact with two mode entangled coherent fields. We found that the atoms with different quantum correlation significantly affects the dynamics of quantum correlation of the fields, and the entanglement of the atoms can enhance the correlations between the field modes. Finally, we show the effect of the purity of initial states on the correlations between the field modes.