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Persistence of quantum correlations in a XY spin-chain environment

  • Josep BatleEmail author
  • Mymona Abutalib
  • Soliman Abdalla
  • Ahmed Farouk
Regular Article

Abstract

Quantum correlations in a physical system are usually degraded whenever there is an interaction with the environment. Here we consider the action of a XY spin-chain interacting with a system of two qubits. Results are surprising for particular families of states since their evolution does not destroy the presence of either entanglement or nonlocality, that is, those correlations persist for any possible configuration of the environment. In addition, we unveil the form of those states which, although being mixed, their entanglement implies nonlocality and vice versa. This finding constitutes an extension of the well-known Gisin Theorem for pure states of two qubits. The ensuing form will enable us to find the evolved entanglement and nonlocality in an analytical fashion.

Keywords

Mesoscopic and Nanoscale Systems 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Josep Batle
    • 1
    Email author
  • Mymona Abutalib
    • 2
  • Soliman Abdalla
    • 3
  • Ahmed Farouk
    • 4
  1. 1.Departament de Física, Universitat de les Illes BalearsBalearic IslandsSpain
  2. 2.Department of PhysicsFaculty of Science, Al Faisaliah Campus, King Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of PhysicsFaculty of Science, King Abdulaziz University JeddahJeddahSaudi Arabia
  4. 4.Information Technology DepartmentMuscatOman

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