Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"
Statistical Mechanics
2018-07-19 v2 Quantum Physics
Abstract
In a recent Letter [PhysRevLett.119.030601 (2017), arXiv:1702.08227], Shiraishi and Mori claim to provide a general method for constructing local Hamiltonians that do not exhibit eigenstate thermalization. We argue that the claim is based on a misunderstanding of the eigenstate thermalization hypothesis (ETH). More specifically, on the assumption that ETH is valid for the entire Hamiltonian matrix instead of each symmetry sector independently. We discuss what happens if one mixes symmetry sectors in the two-dimensional transverse field Ising model.
Keywords
Cite
@article{arxiv.1711.06279,
title = {Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"},
author = {Rubem Mondaini and Krishnanand Mallayya and Lea F. Santos and Marcos Rigol},
journal= {arXiv preprint arXiv:1711.06279},
year = {2018}
}
Comments
2 pages, 1 figure, as published