Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations

• URL: http://arxiv.org/abs/2006.05537v1
• Date: Tue, 9 Jun 2020 22:41:44 GMT
• Title: Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations
• Authors: Carlos H. S. Vieira, Cristhiano Duarte, Raphael C. Drumond and Marcelo Terra Cunha
• Abstract summary: This paper uses Bell-inequalities as a tool to explore non-classical physical behaviours. We show that a large family of quantum many-body systems behave almost locally, violating Bell-inequalities (if so) only by a non-significant amount.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using Bell-inequalities as a tool to explore non-classical physical behaviours, in this paper we analyze what one can expect to find in many-body quantum physics. Concretely, framing the usual correlation scenarios as a concrete spin-lattice, we want to know whether or not it is possible to violate a Bell-inequality restricted to this scenario. Using clustering theorems, we are able to show that a large family of quantum many-body systems behave almost locally, violating Bell-inequalities (if so) only by a non-significant amount. We also provide examples, explain some of our assumptions via counter-examples and present all the proofs for our theorems. We hope the paper is self-contained.

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