The series of IGFAE Colloquia is a common activity for all members of the institute. It provides a platform to remain updated on the topics of the different research lines of the institute and beyond. It is also a chance to foster interactions among the members of the institute.
Colloquia are talks reviewing research topics in a broad sense, and are meant to target an audience of non-specialists.
Agenda 2026
Agenda for the coming months.
Date available | (Probably not available) | Date not available
Abstract: I will describe new ideas relating quantum chaos to the complexity of time evolution. One approach treats physical time evolution as a quantum computation, and bounds the smallest quantum circuit that can simulate this evolution. The second approach quantifies how ergodically and rapidly a quantum state explores the accessible part of the system’s Hilbert space. I will illustrate how these measures separate integrable and chaotic quantum systems by considering examples including particles on group manifolds, spin chains, quantum billiards, and Random Matrix Theory. I will end by describing an application of these methods to a conjecture that geometrizes complexity in quantum gravity.
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