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

B Bertini, P Kos, T Prosen - Physical Review X, 2019 - APS
The spreading of entanglement in out-of-equilibrium quantum systems is currently at the
center of intense interdisciplinary research efforts involving communities with interests …

Many-body quantum chaos: Analytic connection to random matrix theory

P Kos, M Ljubotina, T Prosen - Physical Review X, 2018 - APS
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) …

Weak quantum chaos

I Kukuljan, S Grozdanov, T Prosen - Physical Review B, 2017 - APS
Out-of-time-ordered correlation functions (OTOCs) are presently being extensively debated
as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that …

Local pairing of Feynman histories in many-body Floquet models

SJ Garratt, JT Chalker - Physical Review X, 2021 - APS
We study many-body quantum dynamics using Floquet quantum circuits in one space
dimension as simple examples of systems with local interactions that support ergodic …

Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions

F Fritzsch, T Prosen - Physical Review E, 2021 - APS
The eigenstate thermalization hypothesis provides to date the most successful description of
thermalization in isolated quantum systems by conjecturing statistical properties of matrix …

Particle-time duality in the kicked Ising spin chain

M Akila, D Waltner, B Gutkin… - Journal of Physics A …, 2016 - iopscience.iop.org
We demonstrate that the dynamics of kicked spin chains possess a remarkable duality
property. The trace of the unitary evolution operator for N spins at time T is related to one of a …

Random matrix spectral form factor in kicked interacting fermionic chains

D Roy, T Prosen - Physical Review E, 2020 - APS
We study quantum chaos and spectral correlations in periodically driven (Floquet) fermionic
chains with long-range two-particle interactions, in the presence and absence of particle …

Transition from quantum chaos to localization in spin chains

P Braun, D Waltner, M Akila, B Gutkin, T Guhr - Physical Review E, 2020 - APS
Recent years have seen an increasing interest in quantum chaos and related aspects of
spatially extended systems, such as spin chains. However, the results are strongly system …

Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction

A Sahu, ND Varikuti, BK Das, V Madhok - Physical Review B, 2023 - APS
We study operator spreading in many-body quantum systems by its potential to generate an
informationally complete measurement record in quantum tomography. We adopt …

Structural stability hypothesis of dual unitary quantum chaos

J Riddell, C von Keyserlingk, T Prosen, B Bertini - Physical Review Research, 2024 - APS
Having spectral correlations that, over small enough energy scales, are described by
random matrix theory is regarded as the most general defining feature of quantum chaotic …