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 - phenomenologyHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

HEP seminars TU Wien (Vienna)

Series comments: ID number: 954 8284 9369