Recently, however,moreÂ Â» we have succeeded in constructing multipartite Bell inequalities that involve two- and one- body correlations only, and showed how they revealed the nonlocality in many- body systems relevant for nuclear and atomic physics.

Typically, there is no multipartite Bell inequality for this scenario based on such low-order correlations. Standard, â€œtheorist- and experimentalist-friendlyâ€ many- body observables involve correlations among only few (one, two, rarely three.) particles. In contrast, much less is known about the role of quantum nonlocality in these systems, mostly because the available multipartite Bell inequalities involve high-order correlations among many particles, which are hard to access theoretically, and even harder experimentally. Sainz, A.B.Ĭontemporary understanding of correlations in quantum many- body systems and in quantum phase transitions is based to a large extent on the recent intensive studies of entanglement in many- body systems.

Nonlocality in many- body quantum systems detected with two- body correlators

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