IMPRS Online Seminar: Surfing the Arnold Web: Dynamical Traps and Tunnelling in Multidimensional Phase Spaces

Datum

10.03.2021

Zeit

15:30 - 16:30

Sprecher

Srihari Keshavamurthy

Zugehörigkeit

Indian Institute of Technology Kanpur

Serie

IMPRS-MPSSE Seminar

Sprache

en

Hauptthema

Physik

Andere Themen

Physik

Beschreibung

Nonlinear resonances are ubiquitous in nature. They play a central role in determining the long time (in)stability of dynamical systems ranging from dissociating molecules to escaping asteroids. In Hamiltonian systems with three or more degrees of freedom the network of resonances results in a connected chaotic layer called as the Arnold web. Understanding transport, local and global, on the Arnold web is essential for identifying novel dynamical regimes. In the quantum setting additional transport pathways between "remote" regions on the web open up due to dynamical tunnelling, hence potentially altering the classical dynamical stabilities. This "tug-of-war" between classical and quantum transport pathways has interesting consequences for coherent control and thermalisation is small isolated systems. Thus, the classical notions of Kolmogorov-Arnold-Moser (KAM) eternal stability, the long time Nekhoroshev stability, and the Chirikov instability maybe tempered by quantum mechanics in intriguing ways. In this talk I will discuss examples of dynamics on the web and highlight the important and universal features on the web. Moreover, I will show the analogy between seemingly disparate dynamical systems that would benefit from classical-quantum correspondence study of the dynamics on the Arnold web.

Letztmalig verändert: 09.03.2021, 00:10:00