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Quantum correlation for two-qubit systems interacting with macroscopic objects

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Abstract

We consider two particles of spin- interacting with two one-dimensional N-spin arrays, respectively, which is an exactly solvable model. In this model, the one-dimensional N-spin arrays can be regarded as a macroscopic medium if we consider the number N of spins being large enough. In this paper, we investigate the dynamics of entanglement and quantum discord of the spins of two particles in the case of two particles passing through the macroscopic mediums synchronously and out-sync. In both case, we can obtain that the entanglement decreases monotonically with time and may suffer a sudden death in the evolution. Different from the entanglement dynamics, quantum discord first remains unchanged during a period of time and decreases later, which can be described as the sudden transition between classical and quantum decoherence. We also observe that the entanglement and quantum discord decay to zero in the case of enough large N, which can be understood that the interaction with the macroscopic medium can destroy the quantum correlation of a two-qubit system.

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Acknowledgments

This work is supported by the National Fundamental Research Program of China (the 973 Program) under Grant No. 2012CB922103 and the National Natural Science Foundation of China under Grants Nos. 11374095, 11422540, 11434011, 11575058.

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Authors and Affiliations

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China

    Mei-Wen Zhu, Yan Liu, Jing Lu & Lan Zhou

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  1. Mei-Wen Zhu
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  2. Yan Liu
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  3. Jing Lu
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  4. Lan Zhou
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Correspondence to Jing Lu.

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Zhu, MW., Liu, Y., Lu, J. et al. Quantum correlation for two-qubit systems interacting with macroscopic objects. Quantum Inf Process 15, 2805–2817 (2016). https://doi.org/10.1007/s11128-016-1297-9

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