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20162026
most citedExact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos

353 citations · 1.7k across the 21 of their papers we have counts for

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13 papers · 1 filter

cond-mat.stat-mech2025★ 2 cited

Random Permutation Circuits Beyond Qubits are Quantum Chaotic

Bruno Bertini, Katja Klobas, Pavel Kos +1

Random permutation circuits were recently introduced as minimal models for local many-body dynamics that can be interpreted both as classical and quantum. Standard dynamical comple…

cond-mat.stat-mech2024★ 10 cited

Quantum and Classical Dynamics with Random Permutation Circuits

Bruno Bertini, Katja Klobas, Pavel Kos +1

Understanding thermalisation in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by qua…

cond-mat.stat-mech2023★ 22 cited

Quantum information spreading in generalised dual-unitary circuits

Alessandro Foligno, Pavel Kos, Bruno Bertini

We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in t…

cond-mat.stat-mech2023★ 26 cited

Localised Dynamics in the Floquet Quantum East Model

Bruno Bertini, Pavel Kos, Tomaz Prosen

We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses…

cond-mat.stat-mech2022★ 24 cited

Circuits of space and time quantum channels

Pavel Kos, Georgios Styliaris

Exact solutions in interacting many-body systems are scarce but extremely valuable since they provide insights into the dynamics. Dual-unitary models are examples in one spatial di…

cond-mat.stat-mech2021★ 21 cited

Thermalisation Dynamics and Spectral Statistics of Extended Systems with Thermalising Boundaries

Pavel Kos, Tomaz Prosen, Bruno Bertini

We study thermalisation and spectral properties of extended systems connected, through their boundaries, to a thermalising Markovian bath. Specifically, we consider periodically dr…

cond-mat.stat-mech2020★ 50 cited

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…

cond-mat.stat-mech2020★ 65 cited

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…

cond-mat.stat-mech2019★ 70 cited

Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits

Bruno Bertini, Pavel Kos, Tomaz Prosen

We provide exact results for the dynamics of local-operator entanglement in quantum circuits with two-dimensional wires featuring ultralocal solitons, i.e. single-site operators wh…

cond-mat.stat-mech2019★ 128 cited

Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits

Bruno Bertini, Pavel Kos, Tomaz Prosen

The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been prop…

cond-mat.stat-mech2019★ 283 cited

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

Bruno Bertini, Pavel Kos, Tomaz Prosen

We consider a class of quantum lattice models in dimensions represented as local quantum circuits that enjoy a particular "dual-unitarity" property. In essence, this property…

cond-mat.stat-mech2018★ 196 cited

Entanglement spreading in a minimal model of maximal many-body quantum chaos

Bruno Bertini, Pavel Kos, Tomaz Prosen

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the centre of intense interdisciplinary research efforts involving communities with interests ra…

cond-mat.stat-mech2017★ 24 cited

Time-dependent Correlation Functions in Open Quadratic Fermionic Systems

Pavel Kos, Tomaz Prosen

We formulate and discuss explicit computation of dynamic correlation functions in open quadradic fermionic systems which are driven and dissipated by the Lindblad jump processes th…