We demonstrate that the quantum mutual information (QMI) is a useful probe to study many-body localization (MBL). First, we focus on the detection of a metal--insulator transition for two different models, the noninteracting Aubry-André-Harper model and the spinless fermionic disordered Hubbard chain. We find that the QMI in the localized phase decays exponentially with the distance between the regions traced out, allowing us to define a correlation length, which converges to the localization length in the case of one particle. Second, we show how the QMI can be used as a dynamical indicator to distinguish an Anderson insulator phase from an MBL phase. By studying the spread of the QMI after a global quench from a random product state, we show that the QMI does not spread in the Anderson insulator phase but grows logarithmically in time in the MBL phase.
Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a $\mathbb{Z}_2$ gauge theory in three dimensions
Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
RIKEN Center for Quantum Computing (RQC)（理化学研究所量子计算中心）；RIKEN Center for Computational Science (R-CCS)（理化学研究所计算科学中心）；RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所新物质科学中心）；RIKEN Cluster for Pioneering Research (CPR)（理化学研究所先锋研究集群）
Extreme statistics as a probe of the superfluid to Bose-glass Berezinskii-Kosterlitz-Thouless transition
MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit（马久实验室，法国国家科学研究中心-南加州大学-新加坡国立大学-南洋理工大学国际联合研究单位）；National University of Singapore（新加坡国立大学）；Delft University of Technology（代尔夫特理工大学）；Washington University in St. Louis（圣路易斯华盛顿大学）；Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）
