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 …

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex
systems, which can be used to induce a plethora of new physical phenomena. However …

We prove the existence of extensive many-body Hamiltonians with few-body interactions
and a many-body mobility edge: all eigenstates below a nonzero energy density are …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

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 …

We present a learning algorithm for discovering conservation laws given as sums of
geometrically local observables in quantum dynamics. This includes conserved quantities …

We formulate a theory for resonances in the many-body localized (MBL) phase of disordered
quantum spin chains in terms of local observables. A key result is to show that there are …

A central theoretical issue at the core of the current research on many-body localization
(MBL) consists in characterizing the statistics of rare long-range resonances in many-body …

We prove that in strongly disordered, interacting, quantum chains, the conductance of a
chain of length $ L $ vanishes faster than $1/L $. This means that transport is anomalous in …

We numerically study quantum avalanches in one-dimensional disordered spin systems by
attaching two XXZ spin chains. One chain has low disorder representing a rare Griffith's …