Cosmological Chaos, Complexity, and the OTOC

Abstract: Several approaches to investigating quantum chaos have recently emerged, including quantum circuit complexity and the out-of-time-order correlator (OTOC). In this talk, I will briefly introduce these ideas and apply them to squeezed states, including the squeezed state description of cosmological perturbations on a variety of cosmological backgrounds, such as de Sitter accelerated expansion. Some intriguing results from this investigation include a bound on the growth rate of cosmological complexity reminiscent of a similar bound on the quantum Lyapunov exponent, and the observation that among all cosmological backgrounds, only de Sitter space leads to the exponential growth of the OTOC that is a signature of quantum chaos.

general relativity and quantum cosmologyHEP - theory

Audience: researchers in the discipline

QGaSLAB Seminar Series

Series comments: The webinar can be joined via zoom.us/j/260447387?pwd=VnRMWVhuM0xiNCtxcEtpZjZ3ZHdYUT09

Meeting ID: 260 447 387 Password: qgas01