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arXiv · 1807.10408

Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model

C. Walsh·P. Sémon·D. Poulin·G. Sordi·A. -M. S. Tremblay
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Abstract

Entanglement and information are powerful lenses to probe phases transitions in many-body systems. Motivated by recent cold atom experiments, which are now able to measure the corresponding information-theoretic quantities, we study the Mott transition in the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory, and focus on two key measures of quantum correlations: entanglement entropy and mutual information. We show that they detect the first-order nature of the transition, the universality class of the endpoint, and the crossover emanating from the endpoint.

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C. Walsh, P. Sémon, D. Poulin, G. Sordi, A. -M. S. Tremblay. 2018-07-27. Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model. https://doi.org/10.1103/physrevlett.122.067203

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