Local Entanglement Entropy and Mutual Information across the Mott Transition in the Two-Dimensional Hubbard Model.
Local Entanglement Entropy and Mutual Information across the Mott Transition in the Two-Dimensional Hubbard Model.
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DOI：
10.1103/physrevlett.122.067203
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发表时间：
2018-07
影响因子：
8.6
通讯作者：
C. Walsh;P. Semon;D. Poulin;D. Poulin;G. Sordi;A. Tremblay;A. Tremblay
中科院分区：
文献类型：
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作者：
C. Walsh;P. Semon;D. Poulin;D. Poulin;G. Sordi;A. Tremblay;A. Tremblay
纠缠和信息是探测多体系统相变的有力透镜。受最近的冷原子实验的启发，这些实验现在能够测量相应的信息论量，我们使用元胞动力学平均场理论研究了半填充二维哈伯德模型中的莫特跃迁，并重点关注量子关联的两个关键度量：纠缠熵和总互信息的度量。我们发现，他们检测的过渡，普遍性类的终点，和交叉从终点发出的一阶性质。
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 end point, and the crossover emanating from the end point.