Semiclassical Structure of Resonance States in Chaotic Systems with Escape

• Applicant: Professor Dr. Roland Ketzmerick
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 262765445

Chaotic eigenfunctions of closed systems show semiclassically a uniform phase-space distribution. Physical systems are often suitably described by dynamical systems with partial escape, like optical microcavities. Resonance states of such systems are not uniform, but instead have a multifractal phase-space structure. It is approximately explained by a product structure on stable and unstable directions of the hyperbolic classical dynamics. In order to obtain a fundamental understanding of resonance states for systems with partial escape we want to (i) derive a semiclassical theory based on periodic orbits, (ii) investigate the statistics of quantum fluctuations, (iii) analyze the non-trivial limit of full escape, and (iv) apply these results to the experimentally relevant class of optical microcavities.

• DFG Programme: Research Grants
• Co-Investigator: Professor Dr. Arnd Bäcker