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Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
Katja Klobas, Bruno Bertini, Lorenzo Piroli
We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54". For a class of low-entangled initial states, we provide an analytic description of th…
Random Matrix Spectral Form Factor of Dual-Unitary Quantum Circuits
Bruno Bertini, Pavel Kos, Tomaz Prosen
We investigate a class of brickwork-like quantum circuits on chains of level systems (qudits) that share the so-called `dual unitarity' property. Namely, these systems generate…
Chaos and Ergodicity in Extended Quantum Systems with Noisy Driving
Pavel Kos, Bruno Bertini, Tomaž Prosen
We study the time evolution operator in a family of local quantum circuits with random fields in a fixed direction. We argue that the presence of quantum chaos implies that at larg…
Statistics of the Spectral Form Factor in the Self-Dual Kicked Ising Model
Ana Flack, Bruno Bertini, Tomaz Prosen
We compute the full probability distribution of the spectral form factor in the self-dual kicked Ising model by providing an exact lower bound for each moment and verifying numeric…
Prethermalisation and Thermalisation in the Entanglement Dynamics
Bruno Bertini, Pasquale Calabrese
We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement d…
Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula
Pavel Kos, Bruno Bertini, Tomaž Prosen
Interacting many-body systems with explicitly accessible spatio-temporal correlation functions are extremely rare, especially in the absence of integrability. Recently, we identifi…