Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions

Understand

We consider a class of quantum lattice models in $1+1$ dimensions represented as local quantum circuits that enjoy a particular "dual-unitarity" property.

• In essence, this property ensures that both the evolution "in time" and that "in space" are given in terms of unitary transfer matrices.
• We show that for this class of circuits, generically non-integrable, one can compute explicitly all dynamical correlations of local observables.
• Our result is exact, non-pertubative, and holds for any dimension $d$ of the local Hilbert space.