Local Entanglement Entropy and Mutual Information across the Mott Transition in the Two-Dimensional Hubbard Model

Caitlin Walsh, P. Semon, D. Poulin, Giovanni 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 a measure of total 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.
Original languageEnglish
Article number067203
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Volume122
Issue number6
DOIs
Publication statusPublished - 11 Feb 2019

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