A Universal Representation of Floquet Operator Dynamics

by Dr Hsiu-Chung Yeh [葉秀中] (Max Planck Institute for the Physics of Complex Systems)

Tuesday 27 Oct 2026, 13:20 → 14:20 Asia/Taipei

Periodically driven quantum systems exhibit a rich variety of non-equilibrium phenomena and offer exciting exploration on current quantum devices. In this talk, I will present a universal mapping that shows how the Floquet operator dynamics of quantum systems, regardless of their microscopic details or spatial dimensions, can be represented by a one-dimensional, inhomogeneous Floquet transverse-field Ising model (TFIM). This mapping establishes a connection between general quantum dynamics and the topological phase diagram of the Floquet TFIM. The mathematical foundation of this construction lies in the theory of orthogonal polynomials on the unit circle. I will illustrate the mapping through several examples and discuss its broader implications and potential applications.