Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula

Understand

Interacting many-body systems with explicitly accessible spatio-temporal correlation functions are extremely rare, especially in the absence of integrability.

• Recently, we identified a remarkable class of such systems and termed them dual-unitary quantum circuits.
• These are brick-wall type local quantum circuits whose dynamics are unitary in both time and space.
• For these systems the spatio-temporal correlation functions are non-trivial only at the edge of the causal light cone and can be computed in terms of one-dimensional transfer matrices.