High Energy Theory Group Meeting: Krylov complexity in quantum field theory and beyond
Anatoly Dymarsky
27 May 2021, 12:30
Schreiber Building, Room 8
Abstract:
I will describe recent attempts to use dynamics in Krylov space to characterize behavior of quantum chaotic systems. First, I will review basics of the Krylov space (recursion) method and how it is related to completely integrable systems. Then I will formulate several hypothesis outlining universality of Krylov dynamics, in particular Krylov complexity, for the chaotic systems. In the second part of the talk I will consider several examples of quantum field theories, calculate for them growth of Krylov complexity and argue it is not a credible signature of chaos.
Seminar Organizer: Andrea Guerrieri
