Eigenstate correlations around the many-body localization transition
K. S. Tikhonov, A. D. Mirlin
Abstract
Many-body localization (MBL) addresses (de)localization in highly excited states of disordered interacting systems. The authors explore eigenstate correlations in the vicinity of the MBL transition, emphasizing that they can be measured on state-of-the-art quantum processors and simulators. In addition to the genuine many-body problem, localization on random regular graphs is considered, which serves as a toy model of the transition. Both models show remarkably similar behavior that includesergodicity of the delocalized phase, power-law enhancement of correlations at low frequency in the MBL phase, and maximalcorrelation between adjacent-in-energy states at the transition point.
Topics & Concepts
Delocalized electronEigenvalues and eigenvectorsExcited statePhysicsPhase transitionTransition pointQuantum phase transitionStatistical physicsTransition (genetics)QuantumQuantum critical pointCritical point (mathematics)Quantum mechanicsCondensed matter physicsMathematicsChemistryMathematical analysisBiochemistryGeneMechanicsQuantum many-body systemsQuantum and electron transport phenomenaOpinion Dynamics and Social Influence