# Many-Body Localization and Thermalization in Quantum Statistical Mechanics

@article{Nandkishore2015ManyBodyLA, title={Many-Body Localization and Thermalization in Quantum Statistical Mechanics}, author={Rahul M. Nandkishore and David A. 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…

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