Global Quantum Correlation in the Ising model

Abstract

We study quantum correlations in an isotropic Ising ring under the effects of a transverse magnetic field. After characterizing the behavior of two-spin quantum correlations, we extend our analysis to global properties of the ring, using a figure of merit for quantum correlations that shows enough sensitivity to reveal the drastic changes in the properties of the system at criticality. This opens up the possibility to relate statistical properties of quantum many-body systems to suitably tailored measures of quantum correlations that capture features going far beyond standard quantum entanglement.

Published in the International Journal of Quantum Information as part of the special issue devoted to "Quantum Correlations: entanglement and beyond"

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• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems
• Monogamy of Quantum Discord by Multipartite Correlations
• Quantum discord in the ground state of spin chains
• General monogamy property of global quantum discord and the application
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• Genuine multipartite system-environment correlations in decoherent dynamics
• Computing partial traces and reduced density matrices
• Global quantum discord and quantum phase transition in XY model
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• Maxwell's demons in multipartite quantum correlated systems
• Experimental linear-optics simulation of the ground state of an interacting quantum spin-ring
• Open Quantum Rotors: Connecting Correlations and Physical Currents
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• Genuine correlations in finite-size spin systems
• The local detection method: Dynamical detection of quantum discord with local operations
• Measuring multipartite quantum correlations by thermodynamic work extraction
• Global quantum discord and von Neumann entropy in multipartite two-level atomic systems