Entanglement spreading in a minimal model of maximal many-body quantum chaos
The spreading of entanglement in out-of-equilibrium quantum systems is currently at the
center of intense interdisciplinary research efforts involving communities with interests …
center of intense interdisciplinary research efforts involving communities with interests …
Many-body quantum chaos: Analytic connection to random matrix theory
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) …
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 …
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 …
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 …
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 …
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
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 …
chains with long-range two-particle interactions, in the presence and absence of particle …
Transition from quantum chaos to localization in spin chains
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 …
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
We study operator spreading in many-body quantum systems by its potential to generate an
informationally complete measurement record in quantum tomography. We adopt …
informationally complete measurement record in quantum tomography. We adopt …
Structural stability hypothesis of dual unitary quantum chaos
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 …
random matrix theory is regarded as the most general defining feature of quantum chaotic …