Classical transport in a maximally chaotic chain

15.01.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Remy Dubertrand (Northumbria university, UK)

Abstract: CAT maps (for Continuous Automorphisms on the Torus) are known as one family of chaotic systems. They have been intensively used to study the quantum/classical correspondence. In the last decade the focus has shifted towards coupling them along a chain or a lattice. They have become one central example in "quantum many-body chaos". In this talk I will use a more recently introduced type of coupling for the cat maps, based on symmetry. I will describe how to establish ergodicity and count the periodic orbits for this coupling. It further allows for a fully explicit treatment of the transport problem. The diffusion coefficient is evaluated using a saddle point approximation and agrees well with our numerical experiments.