Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems

B Buča - Physical Review X, 2023 - APS
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

Integrable spin chains and cellular automata with medium-range interaction

T Gombor, B Pozsgay - Physical Review E, 2021 - APS
We study integrable spin chains and quantum and classical cellular automata with
interaction range ℓ≥ 3. This is a family of integrable models for which there was no general …

Matrix product symmetries and breakdown of thermalization from hard rod deformations

M Borsi, L Pristyák, B Pozsgay - Physical Review Letters, 2023 - APS
We construct families of exotic spin-1/2 chains using a procedure called “hard rod
deformation.” We treat both integrable and nonintegrable examples. The models possess a …

Subdiffusive hydrodynamics of nearly integrable anisotropic spin chains

J De Nardis, S Gopalakrishnan… - Proceedings of the …, 2022 - National Acad Sciences
We address spin transport in the easy-axis Heisenberg spin chain subject to different
integrability-breaking perturbations. We find subdiffusive spin transport characterized by …

Slow heterogeneous relaxation due to constraints in dual XXZ models

L Zadnik, JP Garrahan - Physical Review B, 2023 - APS
With the aim to understand the role of the constraints in the thermalization of quantum
systems, we study the dynamics of a family of kinetically constrained models arising through …

Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain

V Marić, F Ferro, M Fagotti - arxiv preprint arxiv:2411.04089, 2024 - arxiv.org
We consider time evolution of order parameters and entanglement asymmetries in the
ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared …

Anomalous current fluctuations from Euler hydrodynamics

T Yoshimura, Ž Krajnik - arxiv preprint arxiv:2406.20091, 2024 - arxiv.org
We consider the hydrodynamic origin of anomalous current fluctuations in a family of
stochastic charged cellular automata. Using ballistic macroscopic fluctuation theory, we …

Growing Schrödinger's cat states by local unitary time evolution of product states

S Bocini, M Fagotti - Physical Review Research, 2024 - APS
We envisage many-body systems described by quantum spin-chain Hamiltonians featuring
a trivial separable eigenstate. For generic Hamiltonians, such a state represents a quantum …

Single-file dynamics with general charge measures

Ž Krajnik - Physical Review E, 2024 - APS
We study charge fluctuations in single-file dynamics with general charge measures. The
exact finite-time distribution of charge fluctuations is obtained in terms of a dressing …