Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

The dynamical phase diagram of interacting disordered systems has seen substantial
revision over the past few years. Theory must now account for a large prethermal many-body …

We review the application of level dynamics to spectra of quantally chaotic systems. We
show that the statistical mechanics approach gives us predictions about level statistics …

Many-body localized (MBL) systems fail to reach thermal equilibrium under their own
dynamics, even though they are interacting, nonintegrable, and in an extensively excited …

Within the broad theme of understanding the dynamics of disordered quantum many-body
systems, one of the simplest questions one can ask is, given an initial state, how does it …

We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …

We identify several distinct phases of thermalization that describe regimes of behavior in
isolated, periodically driven (Floquet), mesoscopic quantum chaotic systems. In doing so, we …

Eigenstates of many-body localized (MBL) systems are characterized by area-law bipartite
entanglement along with multifractal statistics of their amplitudes on Hilbert space. At the …

We propose a formalism which defines chaos in both quantum and classical systems in an
equivalent manner by means of adiabatic transformations. The complexity of adiabatic …

Identifying and measuring the “localization length” in many-body systems in the vicinity of a
many-body localization transition is difficult. Following Hatano and Nelson, a recent paper …