Thermalization is the inevitable fate of many complex quantum systems, whose dynamics
allow them to fully explore the vast configuration space regardless of the initial state—the …

We define dynamical universality classes for many-body systems whose unitary evolution is
punctuated by projective measurements. In cases where such measurements occur …

We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …

In these lecture notes we give a technical overview of tangent-space methods for matrix
product states in the thermodynamic limit. We introduce the manifold of uniform matrix …

The phenomena of quantum criticality underlie many novel collective phenomena found in
condensed matter systems. They present a challenge for classical and quantum simulation …

It is widely recognized that entanglement generation and dynamical chaos are intimately
related in semiclassical models via the process of decoherence. In this paper, we propose a …

The relaxation of few-body quantum systems can strongly depend on the initial state when
the system's semiclassical phase space is mixed; ie, regions of chaotic motion coexist with …

Recent studies of interacting systems of quantum spins, ultracold atoms, and correlated
fermions have shed a new light on how isolated many-body systems can avoid rapid …

The eigenstate thermalization hypothesis (ETH) is a successful theory that provides
sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried …

We study the time evolution of long quantum spin chains subjected to continuous monitoring
projected on matrix product states (MPS) with fixed bond dimension, by means of the Time …