Exact dynamics in dual-unitary quantum circuits

Abstract

Recently, random unitary quantum circuits have received increasing attention as minimal models for the chaotic quantum many-body dynamics, since they allow for exact computation of quantities that are notoriously hard to study in traditional Hamiltonian systems. A natural question is whether nonrandom quantum circuits exist, also allowing for the derivation of analytic results. The answer is provided in this work, where the authors exhibit a class of interacting quantum circuits for which they are able to compute exactly for an infinite family of initial configurations the dynamics of correlation functions and entanglement.