From Chaos to Many-body Localization: Some Introductory Notes

@article{Chotorlishvili2019FromCT,
  title={From Chaos to Many-body Localization: Some Introductory Notes},
  author={Levan Chotorlishvili and S. Stagraczy'nski and Michael Schuler and Jamal Berakdar},
  journal={Acta Physica Polonica A},
  year={2019}
}
Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced Anderson localization is also discussed. Localization in interacting, quantum many-body systems (many-body localization) may also occur in the absence of disorder, and a practical way to identify its occurrence is demonstrated for an interacting spin chain. 
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