Detecting nonlocality in many-body quantum states

Tura, J. and Augusiak, R. and Sainz, A. B. and Vértesi, Tamás and Lewenstein, M. and Acín, A. (2014) Detecting nonlocality in many-body quantum states. SCIENCE, 344 (6189). pp. 1256-1258. ISSN 0036-8075

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Abstract

Bell inequalities define experimentally observable quantities to detect non-locality. In general, they involve correlation functions of all the parties. Unfortunately, these measurements are hard to implement for systems consisting of many constituents, where only few-body correlation functions are accessible. Here we demonstrate that higher-order correlation functions are not necessary to certify nonlocality in multipartite quantum states by constructing Bell inequalities from one- and two-body correlation functions for an arbitrary number of parties. The obtained inequalities are violated by some of the Dicke states, which arise naturally in many-body physics as the ground states of the two-body Lipkin-Meshkov-Glick Hamiltonian.

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