209 citations · 1.3k across the 54 of their papers we have counts for
55 papers
Out-of-Time-Ordered Correlators Beyond Lindblad
Elisa Vallini, Felix Fritzsch, Pieter W. Claeys
Out-of-time-ordered correlators (OTOCs) provide a powerful probe of quantum chaos and scrambling. While the Lindblad formalism is often used to describe OTOCs in open systems, micr…
Dual-unitary Circuits as a Platform for Quantum Reservoir Computing
Gabriel O. Alves, Pieter W. Claeys
Quantum reservoir computing (QRC) is a machine learning approach which employs the internal dynamics of a physical system (the reservoir) to encode and process information. In this…
Infinite-Level Hierarchy of Solvable Quantum Circuits
Michael A. Rampp, Suhail A. Rather, Pieter W. Claeys
Dual-unitary circuits have emerged as a paradigm of exactly solvable yet non-integrable quantum dynamics. Recently, a generalization of dual unitarity attempting to extend the phen…
Solvable Quantum Circuits from Spacetime Lattices
Michael A. Rampp, Suhail A. Rather, Pieter W. Claeys
In recent years dual-unitary circuits and their multi-unitary generalizations have emerged as exactly solvable yet chaotic models of quantum many-body dynamics. However, a systemat…
Spreading of Magic Resource under Unitary Clifford Dynamics
Mircea Bejan, Pieter W. Claeys, Jiangtian Yao
Nonstabilizerness, or quantum magic resource, presents a valuable resource in quantum error correction and computation. We study the dynamics of locally injected nonstabilizerness…
Krylov space dynamics of ergodic and dynamically frozen Floquet systems
Luke Staszewski, Asmi Haldar, Pieter W. Claeys +1
In isolated quantum many-body systems periodically driven in time, the asymptotic dynamics at late times can exhibit distinct behavior such as thermalization or dynamical freezing.…
Free Cumulants and Full Eigenstate Thermalization from Boundary Scrambling
Felix Fritzsch, Gabriel O. Alves, Michael A. Rampp +1
Out-of-time-order correlation functions (OTOCs) and their higher-order generalizations present important probes of quantum information dynamics and scrambling. We introduce a solva…
Partial projected ensembles and spatiotemporal structure of information scrambling
Saptarshi Mandal, Pieter W. Claeys, Sthitadhi Roy
Thermalisation and information scrambling in out-of-equilibrium quantum many-body systems are deeply intertwined: local subsystems dynamically approach thermal density matrices whi…
Free Probability in a Minimal Quantum Circuit Model
Felix Fritzsch, Pieter W. Claeys
Recent experimental and theoretical developments in many-body quantum systems motivate the study of their out-of-equilibrium properties through multi-time correlation functions. We…
Exactly solvable many-body dynamics from space-time duality
Bruno Bertini, Pieter W. Claeys, Tomaž Prosen
Recent years have seen significant advances, both theoretical and experimental, in our understanding of quantum many-body dynamics. Given this problem's high complexity, it is surp…
Engineering long-range and multi-body interactions via global kinetic constraints
Runmin Wu, Bing Yang, Pieter W. Claeys +1
Long-range and multi-body interactions are crucial for quantum simulation and quantum computation. Yet, their practical realization using elementary pairwise interactions remains a…
Probes of Full Eigenstate Thermalization in Ergodicity-Breaking Quantum Circuits
Gabriel O. Alves, Felix Fritzsch, Pieter W. Claeys
The eigenstate thermalization hypothesis (ETH) is the leading interpretation in our current understanding of quantum thermalization. Recent results uncovered strong connections bet…
Solvable Quantum Circuits in Tree+1 Dimensions
Oliver Breach, Benedikt Placke, Pieter W. Claeys +1
We devise tractable models of unitary quantum many-body dynamics on tree graphs, as a first step towards a deeper understanding of dynamics in non-Euclidean spaces. To this end, we…
Periodic revivals from supersymmetry in a fermionic kinetically constrained model
Wouter Buijsman, Pieter W. Claeys
Supersymmetry provides a natural playground for the construction of dynamically constrained lattice fermion models. We here illustrate how supersymmetry can be used to construct a…
Geometric constructions of generalized dual-unitary circuits from biunitarity
Michael A. Rampp, Suhail A. Rather, Pieter W. Claeys
We present a general framework for constructing solvable lattice models of chaotic many-body quantum dynamics with multiple unitary directions using biunitary connections. We show…
Fock-space delocalization and the emergence of the Porter-Thomas distribution from dual-unitary dynamics
Pieter W. Claeys, Giuseppe De Tomasi
The chaotic dynamics of quantum many-body systems are expected to quickly randomize any structured initial state, delocalizing it in Fock space. In this work, we study the spreadin…
Operator dynamics and entanglement in space-time dual Hadamard lattices
Pieter W. Claeys, Austen Lamacraft
Many-body quantum dynamics defined on a spatial lattice and in discrete time -- either as stroboscopic Floquet systems or quantum circuits -- has been an active area of research fo…
Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
Jiangtian Yao, Pieter W. Claeys
We study temporal entanglement in dual-unitary Clifford circuits with probabilistic measurements preserving spatial unitarity. We exactly characterize the temporal entanglement bar…
Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
Agnieszka Wierzchucka, Francesco Piazza, Pieter W. Claeys
The Tavis-Cummings model is a paradigmatic central-mode model where a set of two-level quantum emitters (spins) are coupled to a collective cavity mode. Here we study the eigenstat…
The entanglement membrane in exactly solvable lattice models
Michael A. Rampp, Suhail A. Rather, Pieter W. Claeys
Entanglement membrane theory is an effective coarse-grained description of entanglement dynamics and operator growth in chaotic quantum many-body systems. The fundamental quantity…
Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
Michael A. Rampp, Pieter W. Claeys
The Hayden-Preskill protocol probes the capability of information recovery from local subsystems after unitary dynamics. As such it resolves the capability of quantum many-body sys…
Krylov complexity and Trotter transitions in unitary circuit dynamics
Philippe Suchsland, Roderich Moessner, Pieter W. Claeys
We investigate many-body dynamics where the evolution is governed by unitary circuits through the lens of `Krylov complexity', a recently proposed measure of complexity and quantum…
From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
Pieter W. Claeys, Austen Lamacraft, Jamie Vicary
Dual-unitary brickwork circuits are an exactly-solvable model for many-body chaotic quantum systems, based on 2-site gates which are unitary in both the time and space directions.…
Integrability and quench dynamics in the spin-1 central spin XX model
Long-Hin Tang, David M. Long, Anatoli Polkovnikov +2
Central spin models provide an idealized description of interactions between a central degree of freedom and a mesoscopic environment of surrounding spins. We show that the family…