Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

This topical review article gives an overview of the interplay between quantum information
theory and thermodynamics of quantum systems. We focus on several trending topics …

Random quantum circuits yield minimally structured models for chaotic quantum dynamics,
which are able to capture, for example, universal properties of entanglement growth. We …

We solve a minimal model for an ergodic phase in a spatially extended quantum many-body
system. The model consists of a chain of sites with nearest-neighbor coupling under Floquet …

We map the dynamics of entanglement in random unitary circuits, with finite onsite Hilbert
space dimension q, to an effective classical statistical mechanics, and develop general …

In certain analytically tractable quantum chaotic systems, the calculation of out-of-time-order
correlation functions, entanglement entropies after a quench, and other related dynamical …

We identify emergent hydrodynamics governing charge transport in Brownian random time
evolution with various symmetries, constraints, and ranges of interactions. This is …

In quantum statistical mechanics, it is of fundamental interest to understand how close the
bipartite entanglement entropy of eigenstates of quantum chaotic Hamiltonians is to …

We study the bipartite von Neumann entanglement entropy and matrix elements of local
operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin …

We study the spectral statistics of spatially extended many-body quantum systems with on-
site Abelian symmetries or local constraints, focusing primarily on those with conserved …