We report universal statistical properties displayed by ensembles of pure states that
naturally emerge in quantum many-body systems. Specifically, two classes of state …

We study the problem of observing quantum collective phenomena emerging from large
numbers of measurements. These phenomena are difficult to observe in conventional …

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

Despite its long history, a canonical formulation of quantum ergodicity that applies to general
classes of quantum dynamics, including driven systems, has not been fully established …

We study the spreading of quantum information in a recently introduced family of brickwork
quantum circuits that generalizes the dual-unitary class. These circuits are unitary in time …

We study the emergence over time of a universal, uniform distribution of quantum states
supported on a finite subsystem, induced by projectively measuring the rest of the system …

Ergodicity of quantum dynamics is often defined through statistical properties of energy
eigenstates, as exemplified by Berry's conjecture in single-particle quantum chaos and the …

Quantum dynamics with local interactions in lattice models display rich physics, but is
notoriously hard to study. Dual-unitary circuits allow for exact answers to interesting physical …

Dual-unitary circuits are paradigmatic examples of exactly solvable yet chaotic quantum
many-body systems, but solvability naturally goes along with a degree of nongeneric …

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining
thermalization of isolated quantum many-body systems. However, there has been no proof …