Hierarchical generalization of dual unitarity

Understand

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 questions in clean or disordered one- and higher-dimensional quantum systems.
• However, this family of models shows some non-universal features, like vanishing correlations inside the light-cone and instantaneous thermalization of local observables.
• In this work we propose a generalization of dual-unitary circuits where the exactly calculable spatial-temporal correlation functions display richer behavior, and have non-trivial thermalization of local observables.