TL;DR
This paper reviews many-body localization (MBL), a nonergodic quantum phenomenon, discussing evidence, models, and potential links to quantum computing, highlighting its broad relevance.
Contribution
It provides an introductory overview of MBL, summarizes evidence for ergodic to MBL crossover, and explores its generality across models and relation to quantum computing.
Findings
Evidence for crossover from ergodic to MBL regime in finite systems
MBL observed in the XXZ model and other models
Potential implications for quantum computing
Abstract
We present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the ergodic to the MBL regime in finite systems, using the paradigmatic XXZ model as an example. We then broaden the scope to other models to illustrate the generality of the phenomenon. We briefly touch on the largely unexplored relation between MBL and quantum computing.
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