Pole Skipping, Quasinormal Modes, Shockwaves and Their Connection to Chaos in Quantum Systems
Harvard CMSA via YouTube
Overview
Coursera Spring Sale
40% Off Coursera Plus Annual!
Grab it
Watch a 56-minute Harvard CMSA General Relativity Seminar where Diandian Wang from Harvard University explores the intricate connections between pole skipping, quasinormal modes, shockwaves, and chaos in quantum systems. Delve into the analysis of chaotic quantum systems through out-of-time-order correlators (OTOC), discovering how pole skipping in retarded Green's functions reveals crucial information about Lyapunov exponents and butterfly velocity. Learn about a systematic approach to deriving pole-skipping conditions for holographic CFTs dual to classical bulk theories, examining key findings including the violation of chaos bounds in higher spin theories, the correlation between butterfly velocities calculated through different methods, and the relationship between shockwaves and specific quasinormal modes. Follow along with classical gravitational techniques as they're applied to understand these complex quantum phenomena, with topics covering OTOC in holography, localized shockwave solutions, butterflies in higher-derivative gravity, and holographic Green's functions.
Syllabus
Intro
Out-of-time-order correlator (OTOC)
OTOC in holography
(Localised) shockwave solutions And the butterfly velocity
Butterflies in higher-derivative gravity
Holographic Green's function
General pole-skipping conditions
Higher spins
Summary
A tale of three butterflies
Taught by
Harvard CMSA