In classical mechanics\, chaos refers to the phenomenon that an arb itrarily small perturbation leads to a dramatic change at a later time. Th e analogous phenomenon in quantum mechanics---quantum chaos is generic in many-body systems. Although chaos makes it difficult to solve the many-bod y problem exactly\, it actually provides new knowledge about dynamics of t he system\, such as thermalization. In understanding quantum chaos and the rmalization\, the concept of quantum entanglement plays an essential role. In this talk\, I will discuss the connection between several related phen omena\, including the dynamics of quantum entanglement\, thermalization of isolated systems\, and measure of quantum chaos. As a concrete model to s tudy quantum chaos\, I will discuss the Sachdev-Ye-Kitaev (SYK) model and its generalizations. This model provides an example of strongly correlated systems in which new kinds of "\;order"\; emerges from chaos. Ent anglement dynamics in this model suggests an interesting interplay between thermalization and many-body localization.

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\n\nReferences: **arXiv:1511
.04021**** **

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\n DTSTART:20171201T203000Z LOCATION:Physics Building\, Room 204 SUMMARY:Entanglement\, chaos and order END:VEVENT END:VCALENDAR