Scrambling in quantum cellular automata
Quantum Physics
2023-05-01 v3 Strongly Correlated Electrons
High Energy Physics - Theory
Cellular Automata and Lattice Gases
Abstract
Scrambling is the delocalization of quantum information over a many-body system and underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as classically simulable toy models of scrambling. We observe that these automata break ergodicity, i.e. they exhibit quantum scarring. We also find that the time-scale of scrambling rises with the local Hilbert-space dimension and obeys a specific combinatorial pattern. We then show that scarring is mostly suppressed in a semiclassical limit, demonstrating that semiclassical-chaotic systems are more ergodic.
Keywords
Cite
@article{arxiv.2301.07722,
title = {Scrambling in quantum cellular automata},
author = {Brian Kent and Sarah Racz and Sanjit Shashi},
journal= {arXiv preprint arXiv:2301.07722},
year = {2023}
}
Comments
7 pages (including supplement), 5 figures; version 2: references added; version 3: typos fixed, matches version to be published in PRB