Seminars: N. M. Kolganov, Krylov construction and ergodic classification for Floquet systems

SEMINARS


Seminar of the LHEP (MIPT) theory group March 26, 2025 14:30, Dolgoprudny, MIPT, Laboratory building, room 403

Krylov construction and ergodic classification for Floquet systems N. M. Kolganov^ab ^a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region ^b P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
Abstract: I will explain how to generalize Krylov's construction, which allows to introduce such measures of quantum chaos as Krylov complexity and entropy, to the case of quantum Floquet systems. I will show that the most convenient tool for such a generalization are CMV orthogonal polynomials on the unit circle. I will also discuss possible classification of chaotic and integrable Floquet systems based on different types of behavior of the Krylov chain hopping coefficients. The talk is based on the joint paper arXiv:2412.19797 with Dmitrii Trunin.