Quantum entanglement and Bell inequalities in Heisenberg spin chains

Abstract

We show that in one-dimensional isotropic Heisenberg model two-qubit thermal entanglement and maximal violation of Bell inequalities are directly related with a thermodynamical state function, i.e., the internal energy. Therefore they are completely determined by the partition function, the central object of thermodynamics. For ferromagnetic ring we prove that there is no thermal entanglement at any temperature. Explicit relations between the concurrence and the measure of maximal Bell inequality violation are given.

4 pages, no figures

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• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in the Quantum Heisenberg XY model
• Quantum Entanglement in Fermionic Lattices
• Quantum Correlations in Two-Fermion Systems
• Quantum Correlations in Two-Boson Wavefunctions
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• Entanglement in a two-identical-particle system
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