Analytic model of thermalization: Quantum emulation of classical cellular automata

被引：8
|
作者：
Shiraishi, Naoto [1 ]
机构：
[1] Keio Univ, Dept Phys, Kohoku Ku, Hiyoshi 3-14-1, Yokohama, Kanagawa, Japan
来源：
PHYSICAL REVIEW E | 2018年 / 97卷 / 06期
关键词：
PERIODIC-ORBITS; CHAOS;
D O I：
10.1103/PhysRevE.97.062144
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We introduce a 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.
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收藏
页数：9
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