Институт за физику позива вас на предавање проф. Кунрада Схалма са Лоренц института за теоријску физику Универзитета Лајден у Холандији. Предавање под насловом „(Quantum) Chaos, hydrodynamics, and black hole scrambling“ у оквиру традиционалног колоквијума Института за физику у Београду биће одржано у згради Института, у уторак, 20. марта у 11 часова у сали „Звонко Марић“.


A concrete definition of chaos in quantum systems is a regime of exponential growth in a specific out-of-time-ordered correlator (OTOC). We will discuss this both in weakly coupled and in strongly coupled theories. In strongly coupled quantum theories with a holographic dual, the OTOC is directly related to probing the system’s hydrodynamic sound modes. The information contained in the OTOC is dual to a gravitational shock wave and this can be reconstructed in terms of purely diffusion-like gravitational waves at the horizon of a single-sided black hole with specific regularity-enforced imaginary values of frequency and momentum. The fact  that late-time equilibration and early-time chaos are controlled by the same dynamics is also a property of classical dilute gases. For weakly coupled systems, we show that the information contained in the OTOC follows from a Boltzmann kinetic equation for total energy exchange.