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LMG model: Markovian evolution of classical and quantum correlations under decoherence

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  • Nayereh Majd
  • Jahangir Payamara
  • Fariba Daliri

Abstract

We have investigated the quantum phase transition in the ground state of collective Lipkin-Meshkov-Glick model (LMG model) subjected to decoherence due to its interaction, represented by a quantum channel, with an environment. We discuss the behavior of quantum and classical pair wise correlations in the system, with the quantumness of correlations measured by quantum discord (QD), entanglement of formation (EOF), measurement-induced disturbance (MID) and the Clauser-Horne-Shimony-Holt-Bell function (CHSH-Bell function). The time evolution established by system-environment interactions is assumed to be Markovian in nature and the quantum channels studied include the amplitude damping (AD), phase damping (PD), bit-flip (BF), phase-flip (PF), and bit-phase-flip (BPF) channels. One can identify appropriate quantities associated with the dynamics of quantum correlations signifying quantum phase transition in the model. Surprisingly, the CHSH-Bell function is found to detect all the phase transitions, even when quantum and classical correlations are zero for the relevant ground state. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Nayereh Majd & Jahangir Payamara & Fariba Daliri, 2014. "LMG model: Markovian evolution of classical and quantum correlations under decoherence," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(3), pages 1-12, March.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:3:p:1-12:10.1140/epjb/e2014-40652-1
    DOI: 10.1140/epjb/e2014-40652-1
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    Statistical and Nonlinear Physics;

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