Analytic model of thermalization: Quantum emulation of classical cellular automata
Statistical Mechanics
2018-07-03 v3 Cellular Automata and Lattice Gases
Quantum Physics
Abstract
We introduce a novel method of quantum emulation of a classical reversible cellular automaton. By applying this method to a chaotic cellular automaton, the obtained quantum many-body system thermalizes while all the energy eigenstates and eigenvalues are solvable. These explicit solutions allow us to verify the validity of some scenarios of thermalization to this system. We find that two leading scenarios, the eigenstate thermalization hypothesis scenario and the large effective dimension scenario, do not explain thermalization in this model.
Keywords
Cite
@article{arxiv.1709.06315,
title = {Analytic model of thermalization: Quantum emulation of classical cellular automata},
author = {Naoto Shiraishi},
journal= {arXiv preprint arXiv:1709.06315},
year = {2018}
}
Comments
10 pages, 6 figures