Semiclassical description of regular-to-chaotic tunneling in cavities

• Applicant: Professor Dr. Arnd Bäcker
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2015 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 279886189

Designing optical cavities which exhibit directional lasing emission is anactive area of experimental and theoretical research.Typical cavities have a mixed phase space in which regions of regular andchaotic motion coexist.In such systems, regular-to-chaotic tunneling determines the experimentallyrelevant quality factors and the far-field emission pattern.While an excellent theoretical understanding of regular-to-chaotic tunneling inquantum maps is available, this is not yet the case for cavities.In this project we want to derive quantum-mechanical predictionsfor regular-to-chaotic tunneling rates in cavitiesbased on integrable approximations of the regular region.In particular we want to quantitatively describethe enhancement of tunneling rates due to the influenceof resonance-assisted tunneling.A central goal will be the semiclassical description using complex paths.From this we expect to obtain an intuitive picture ofboth regular-to-chaotic tunneling and resonance-assisted tunneling in cavities.This will allow for designing cavity shapeswith strongly directional emission and large quality factorsand for comparing with experimental results.

• DFG Programme: Research Grants
• Co-Investigator: Professor Dr. Roland Ketzmerick