Krylov Complexity and Trotter Transitions in Unitary Circuit Dynamics

Explore the intricacies of Krylov Complexity and Trotter transitions in unitary circuit dynamics through this 42-minute lecture by Pieter Claeys at the International Centre for Theoretical Sciences. Delve into the stability of quantum matter in and out of equilibrium at various scales, examining mechanisms that constrain many-body dynamics in Hilbert space. Gain insights into cutting-edge concepts in condensed matter physics, statistical mechanics, and quantum field theory as they relate to many-body stability problems. Learn about potential applications in quantum devices and the broader implications for controlling quantum systems. This talk is part of a comprehensive program aimed at researchers, senior PhD students, postdocs, and faculty members working in quantum technologies and related fields.