Whispering gallery orbits in Sinai oscillator trap

TL;DR

This paper studies the dynamics of particles in Sinai oscillator traps, demonstrating the existence of quasiperiodic solutions near the boundary through KAM theory, which has implications for Bose-Einstein condensate trapping.

Contribution

It applies KAM theory to a Sinai oscillator trap model, revealing the presence of quasiperiodic orbits in a new physical context.

Findings

Existence of positive measure of quasiperiodic solutions near the boundary.

Application of KAM theory to a physical trapping system.

Insights into particle dynamics in Bose-Einstein condensate traps.

Abstract

Experimental realizations of trapping Bose Einstein condensate lead to a Hamiltonian system of a classical particle bouncing off a convex scatterer in the field of an attracting potential. It is shown by application of KAM theory that under some natural conditions there exists positive measure of quasiperiodic solutions near the boundary.