Many-Body Localization and Thermalization in Quantum Statistical Mechanics

@article{Nandkishore2015ManyBodyLA,
title={Many-Body Localization and Thermalization in Quantum Statistical Mechanics},
author={R. Nandkishore and D. Huse},
journal={Annual Review of Condensed Matter Physics},
year={2015},
volume={6},
pages={15-38}
}

We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics. We then focus on a class of systems that fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson-localized systems; their long-time properties are not captured by the… CONTINUE READING