Dual-unitary quantum circuits can be used to construct 1+ 1 dimensional lattice models for
which dynamical correlations of local observables can be explicitly calculated. We show …

Recent experimental and theoretical works have made much progress toward
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …

Quantum thermalization in a many-body system is defined by the approach of local
subsystems toward a universal form, describable as an ensemble of quantum states wherein …

We study the out-of-equilibrium dynamics of the quantum cellular automaton known as “Rule
54.” For a class of low-entangled initial states, we provide an analytic description of the effect …

The concept of space evolution (or space-time duality) has emerged as a promising
approach for studying quantum dynamics. The basic idea involves exchanging the roles of …

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 …

Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …

We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of
quantum lattice models with time evolution governed by local unitary quantum circuits and …

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 negative solution to the famous problem of 36 officers of Euler implies that there are no
two orthogonal Latin squares of order six. We show that the problem has a solution …