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

2018/07/27 by C. Walsh, P. Sémon, D. Poulin +2 · 2 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.122.067203

published as Phys. Rev. Lett. 122, 067203 (2019) · 6 pages, 3 figures

arxiv created 2018/07/27 · arxiv updated 2019/02/20

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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