Normal weak eigenstate thermalization

P Łydżba, R Świętek, M Mierzejewski, M Rigol… - Physical Review B, 2024 - APS
Eigenstate thermalization has been numerically shown to occur for few-body observables in
a wide range of nonintegrable models. For intensive sums of few-body observables, a …

Tight-binding billiards

I Ulčakar, L Vidmar - Physical Review E, 2022 - APS
Recent works have established universal entanglement properties and demonstrated
validity of single-particle eigenstate thermalization in quantum-chaotic quadratic …

Probing off-diagonal eigenstate thermalization with tensor networks

M Luo, R Trivedi, MC Bañuls, JI Cirac - Physical Review B, 2024 - APS
Energy filter methods in combination with quantum simulation can efficiently access the
properties of quantum many-body systems at finite energy densities [S. Lu, PRX Quantum 2 …

Defining classical and quantum chaos through adiabatic transformations

C Lim, K Matirko, A Polkovnikov, MO Flynn - arXiv preprint arXiv …, 2024 - arxiv.org
We propose a formalism which defines chaos in both quantum and classical systems in an
equivalent manner by means of adiabatic transformations. The complexity of adiabatic …

Statistics of matrix elements of local operators in integrable models

FHL Essler, A de Klerk - Physical Review X, 2024 - APS
We study the statistics of matrix elements of local operators in the basis of energy
eigenstates in a paradigmatic, integrable, many-particle quantum theory, the Lieb-Liniger …

Slow relaxation of out-of-time-ordered correlators in interacting integrable and nonintegrable spin- XYZ chains

V Balachandran, LF Santos, M Rigol, D Poletti - Physical Review B, 2023 - APS
Out-of-time-ordered correlators (OTOCs) help characterize the scrambling of quantum
information and are usually studied in the context of nonintegrable systems. In this work, we …

No-resonance conditions, random matrices, and quantum chaotic models

J Riddell, N Pagliaroli - Journal of Statistical Physics, 2024 - Springer
In this article we investigate no-resonance conditions for quantum many body chaotic
systems and random matrix models. No-resonance conditions are properties of the spectrum …

Integrability as an attractor of adiabatic flows

H Kim, A Polkovnikov - Physical Review B, 2024 - APS
The interplay between quantum chaos and integrability has been extensively studied in the
past decades. We approach this topic from the point of view of geometry encoded in the …

Integrability is attractive

H Kim, A Polkovnikov - arXiv preprint arXiv:2308.09745, 2023 - arxiv.org
The interplay between quantum chaos and integrability has been extensively studied in the
past decades. We approach this topic from the point of view of geometry encoded in the …

Unraveling hydrodynamization using ultracold 1D gases

Y Zhang, Y Le, DS Weiss, M Rigol - arXiv preprint arXiv:2405.20376, 2024 - arxiv.org
We study the quantum evolution of 1D Bose gases immediately after several variants of high-
energy quenches, both experimentally and theoretically. Using the advantages conveyed by …