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Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
S. A. Parameswaran, Andrew C. Potter, Romain Vasseur
We review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical po…
Universal crossover from ground state to excited-state quantum criticality
Byungmin Kang, Andrew C. Potter, Romain Vasseur
We study the nonequilibrium properties of a nonergodic random quantum chain in which highly excited eigenstates exhibit critical properties usually associated with quantum critical…
Symmetry constraints on many-body localization
Andrew C. Potter, Romain Vasseur
We derive general constraints on the existence of many-body localized (MBL) phases in the presence of global symmetries, and show that MBL is not possible with symmetry groups that…
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
Romain Vasseur, Joel E. Moore
We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus…