IMPRS Seminar: Resonance Eigenfunctions in Chaotic Systems with Partial Escape

Date

May 15, 2019

Time

2:15 PM - 3:15 PM

Speaker

Konstantin Clauss

Affiliation

TU Dresden

Series

IMPRS-MPSSE Seminar

Language

en

Main Topic

Physik

Other Topics

Physik

Description

The phase-space distribution of chaotic resonance eigenfunctions corresponds to conditionally invariant measures of the classical system. This is well-understood if particles completely leave the system from a leaky phase-space region [1]. However, in many situations there occurs a partial escape of intensity, e.g., in optical microcavities. For such systems a similar understanding of resonance eigenfunctions is still missing and a completely new approach is required. For this we (i) find conditionally invariant measures for a given decay rate $\gamma$, and (ii) define a meaningful quantitative distance measure between phase-space densities to evaluate quantum-classical correspondence. We apply these methods to investigate the semiclassical limit and the limit of full escape. [1] K. Clauß, M. J. Körber, A. Bäcker, and R. Ketzmerick, Phys. Rev. Lett. ${\bf 121}$ (2018), ~074101.

Last modified: Jun 24, 2019, 3:24:38 PM