Inner Turmoil: Complexity, Chaos, and the Black Hole Interior
James Sully (University of British Colombia)
Abstract: I will describe a precise and computationally tractable notion of operator complexity in quantum theories. In holographic theories, this refined version of K-complexity exhibits exponential growth for a scrambling time, followed by linear growth until saturation at a time exponential in the entropy—a behavior that is characteristic of chaos. I will explain how the linear growth regime implies a universal random matrix description of the operator dynamics after scrambling. Our main tool for establishing this connection is a “complexity renormalization group” where we integrate out large K-complexities. Finally, I will discuss a connection between the universal random matrix theory dynamics of operator growth after scrambling and the geometry of smooth black hole interiors.
HEP - theorymathematical physicsquantum physics
Audience: researchers in the topic
Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J
| Organizers: | Nima Lashkari*, Shoy Ouseph*, Mudassir Moosa |
| *contact for this listing |