Analytic model of thermalization: Quantum emulation of classical cellular automata
arXiv:1709.06315 · doi:10.1103/PhysRevE.97.062144
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.
10 pages, 6 figures
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- Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
- Undecidability of the fate of relaxation in one-dimensional quantum systems
- Undecidability in quantum thermalization
- Reply to "Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"" by Mondaini et.al
- Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
- Eigenstate Thermalisation on Average
- Concomitant Entanglement and Control Criticality Driven by Collective Measurements
- Entanglement dynamics and ergodicity breaking in a quantum cellular automaton