Nonlocality and entanglement in the XY model

Abstract

Nonlocality and quantum entanglement constitute two special features of quantum systems of paramount importance in quantum information theory (QIT). Essentially regarded as identical or equivalent for many years, they constitute different concepts. Describing nonlocality by means of the maximal violation of two Bell inequalities, we study both entanglement and nonlocality for two and three spins in the XY model. Our results shed a new light into the description of nonlocality and the possible information-theoretic task limitations of entanglement in an infinite quantum system.

4 pages, 2 figures

References in corpus (2)

• Device-independent security of quantum cryptography against collective attacks
• Multipartite Entanglement Signature of Quantum Phase Transitions

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• Bell inequalities and entanglement at quantum phase transition in the XXZ Model
• Performance of various correlation measures in quantum renormalization-group method: A case study of quantum phase transition
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Nonlocality and entanglement in qubit systems
• Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems
• Nonviolation of Bell's Inequality in Translation Invariant Systems
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• Bound entangled Bell diagonal states of unequal local dimensions, and their witnesses
• Bell-type correlation at quantum phase transitions in spin-1 chain
• Discovering Local Hidden-Variable Models for Arbitrary Multipartite Entangled States and Arbitrary Measurements
• Study of quantum non-locality by CHSH function and its extension in disordered fermions
• Interaction of a single mode field cavity with the 1D XY model: Energy spectrum
• General spin systems without genuinely multipartite nonlocality
• Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations
• Energy spectra of a spin-$\frac{1}{2}$ XY spin molecule interacting with a single mode field cavity: Numerical study