Entanglement and nonlocality in multi-particle systems

Abstract

Entanglement, the Einstein-Podolsky-Rosen (EPR) paradox and Bell's failure of local-hidden-variable (LHV) theories are three historically famous forms of "quantum nonlocality". We give experimental criteria for these three forms of nonlocality in multi-particle systems, with the aim of better understanding the transition from microscopic to macroscopic nonlocality. We examine the nonlocality of N separated spin J systems. First, we obtain multipartite Bell inequalities that address the correlation between spin values measured at each site, and then we review spin squeezing inequalities that address the degree of reduction in the variance of collective spins. The latter have been particularly useful as a tool for investigating entanglement in Bose-Einstein condensates (BEC). We present solutions for two topical quantum states: multi-qubit Greenberger-Horne-Zeilinger (GHZ) states, and the ground state of a two-well BEC.

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Cited by in corpus (13)

• Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox
• Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
• Relating spin squeezing to multipartite entanglement criteria for particles and modes
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Nonlinear Bell inequality for macroscopic measurements
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
• Inherent quantum resources in stationary spin chains
• Bell Non-Locality in Macroscopic Systems
• The sounds of science a symphony for many instruments and voices part II
• Many-body quantum resources of graph states
• Quantification of Quantum Entanglement in a Multiparticle System of Two-Level Atoms Interacting with a Squeezed Vacuum State of the Radiation Field
• A total measure of multi-particle quantum correlations in atomic Schrödinger cat states
• Measure of tripartite quantum correlation in multiqubit symmetric pure state