Condensed Matter Theory Forum - Dual-unitary circuit dynamics

Quantum lattice models with time evolution governed by local unitary quantum circuits can serve as a minimal model for the study of general unitary dynamics governed by local interactions. Although such circuit dynamics exhibit many of the features expected of generic many-body dynamics, exact results generally require the presence of randomness in the circuit. I will discuss dual-unitary circuits characterized by an underlying space-time symmetry, and show how they give rise to exactly solvable models for ergodic and non-ergodic thermalization for correlations and the scrambling of out-of-time-order correlators. Combining dual-unitary dynamics with projective measurements, I will also make the connection with random matrix theory and show how measurements can give rise to uniformly distributed states and a quantum state-design.