Quantum Dynamical Entropies in Discrete Classical Chaos
F. Benatti (1), V. Cappellini (1), F. Zertuche (2) ((1), Dipartimento di Fisica Teorica, Universita' di Trieste, Italy, (2) Instituto, de Matematicas, UNAM, Unidad Cuernavaca, Morelos, Mexico.)
TL;DR
This paper explores the relationship between quantum dynamical entropy and classical chaos by analyzing discretized hyperbolic maps on the torus, highlighting how quantum concepts can reveal chaos in classical systems.
Contribution
It applies quantum dynamical entropy to discretized classical systems, providing a novel numerical approach to studying chaos in such models.
Findings
Quantum dynamical entropy detects chaos footprints in discretized maps
Discretization preserves key chaotic features of classical systems
Numerical results support the analogy between quantum and classical chaos
Abstract
We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.