From Chaos to Many-body Localization: Some Introductory Notes |
| L. Chotorlishvilia, S. Stagraczyńskib, M. Schülerc, J. Berakdara
aInstitut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany bDepartment of Physics and Medical Engineering, Rzeszow University of Technology, al. Powstancow Warszawy 6, 35-959 Rzeszow, Poland cDepartment of Physics, University of Fribourg, 1700 Fribourg, Switzerland |
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| 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. |
DOI:10.12693/APhysPolA.135.1155 topics: chaos, localization, many-body, disorder, fluctuation |