353 citations · 1.7k across the 21 of their papers we have counts for
21 papers
Vanishing correlations in stochastic and bistochastic controlled circuits
Pavel Kos, Bruno Bertini, Tomaž Prosen
We study the dynamics of circuits composed of stochastic and bistochastic controlled gates. This type of dynamics arises from quantum circuits with random controlled gates, as well…
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…
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…
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…
Hierarchical generalization of dual unitarity
Xie-Hang Yu, Zhiyuan Wang, Pavel Kos
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 phys…
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…
Scrambling is Necessary but Not Sufficient for Chaos
Neil Dowling, Pavel Kos, Kavan Modi
We show that out-of-time-order correlators (OTOCs) constitute a probe for Local-Operator Entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful…
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…
Exact Spectral Statistics in Strongly Localised Circuits
Bruno Bertini, Pavel Kos, Tomaz Prosen
Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more p…
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…
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…
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…
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…
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…
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…
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…
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
Bruno Bertini, Pavel Kos, Tomaz Prosen
The most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (…
Many-body quantum chaos: Analytic connection to random matrix theory
Pavel Kos, Marko Ljubotina, Tomaz Prosen
A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT). For sing…
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…
Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
Pavel Kos, Matthias Punk
We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and char…