У оквиру семинара Центра за изучавање комплексних система Института а физику у Београду, у четвртак, 23. новембра 2023. године у 16 часова путем Zoom платформе, Дмитри Трунин (Принстон универзитет, САД) одржаће предавање:
True quantum chaos from replica OTOCs
САЖЕТАК:
Out-of-time-order correlator (OTOC) is widely used as an indicator of quantum chaos and has many applications both in high-energy and condensed matter physics. Unfortunately, OTOC fails to distinguish between truly chaotic systems and integrable systems with isolated saddle points. In this talk we will propose to fix this drawback by generalizing the definition of OTOC. We will show that such a generalized OTOC correctly determines the average Lyapunov exponent and the Ehrenfest time in the semiclassical limit, can be calculated analytically using a replica trick, and satisfies the famous bound on chaos. For clarity, we will illustrate the key observations on particular examples, including the SYK and O(N) models.
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Meeting ID: 818 1726 1047
Passcode: 042962