Bipartite nonlocality with a many-body system

Abstract

We consider a bipartite scenario where two parties hold ensembles of $1/2$-spins which can only be measured collectively. We give numerical arguments supporting the conjecture that in this scenario no Bell inequality can be violated for arbitrary numbers of spins if only first order moment observables are available. We then give a recipe to achieve a significant Bell violation with a split many-body system when this restriction is lifted. This highlights the strong requirements needed to detect bipartite quantum correlations in many-body systems device-independently.

arXiv comment7+5 pages, 4 figures

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Cited by in corpus (10)

• Einstein-Podolsky-Rosen experiment with two Bose-Einstein condensates
• Probing quantum correlations in many-body systems: a review of scalable methods
• Bell correlations in a split two-mode-squeezed Bose-Einstein condensate
• Two-axis two-spin squeezed states
• Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
• Macroscopically nonlocal quantum correlations
• Class of Bell-Clauser-Horne inequalities for testing quantum nonlocality
• Persistent nonlocality in an ultracold-atom environment
• Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations
• Trading symmetry for Hilbert-space dimension in Bell-inequality violation