Annular billiard dynamics in a circularly polarized strong laser field

Abstract

We analyze the dynamics of a valence electron of the buckminsterfullerene molecule (C60) subjected to a circularly polarized laser field by modeling it with the motion of a classical particle in an annular billiard. We show that the phase space of the billiard model gives rise to three distinct trajectories: "whispering gallery orbits," which hit only the outer billiard wall; "daisy orbits," which hit both billiard walls (while rotating solely clockwise or counterclockwise for all time); and orbits that only visit the downfield part of the billiard, as measured relative to the laser term. These trajectories, in general, maintain their distinct features, even as the intensity is increased from 10(10) to 10(14) Wcm-2. We attribute this robust separation of phase space to the existence of twistless tori.

List of problems for future research in generalized Lorenz–Mie theories and related topics, review and prospectus [Invited]

“…Contrary to this opinion, we may quote a paper by Hentschel and Richter [202] who discuss a quantum chaotic model of an annular billiard and conclude that a simple ray model does indeed provide a good qualitative understanding of the system properties, even for small wave numbers. Another relevant paper is [203], which studied annular billiard dynamics in a strong circularly polarized field.…”

Electromagnetic Waves in Annular Regions

“…In this way the field E is tangential to the boundary. Indeed, thanks to (18), (20) and 21, one can write:…”

“…As done in [22] (Section 5.4), we set y = r − η. By differentiating (20) with respect to z and (21) with respect to y, we arrive at:…”

“…Some optical waves trapped in media are studied in [13][14][15]. Other more conceptual results are given in [16][17][18][19][20].…”

Violation of adiabaticity in magnetic billiards due to separatrix crossings

“…The magnetic billiard serves as a useful model for quantum mechanical problems 15,22,30 and modeling of magnetic properties of materials (diamagnetism, paramagnetism, conductance, magnetic edge state, etc. ), 1,20,26,31,42 interaction of matter with laser field, 21,38 and molecular/atom dynamics. 2,3,37 In the model of magnetic billiards, the magnetic field amplitude controls a regularity level of the billiard motion.…”