Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 48: Quantum Chaos (jointly with DY)

TT 48.4: Talk

Tuesday, March 17, 2015, 15:15–15:30, BH-N 334

Frobenius-Perron operator for asymmetric backscattering in deformed microdisk cavities — •Julius Kullig and Jan Wiersig — Institut für Theoretische Physik, Universität Magdeburg, Germany

Due to radiation and absorption optical microcavities cannot be described by hermitian but non-hermitian Hamiltonians of open quantum systems. This leads in general to non-orthogonal quasibound states. In case of asymmetric optical cavities this is related to an imbalance between clockwise (CW) and counter-clockwise (CCW) propagating waves which manifests in a finite chirality of quasibound states [1, 2, 3, 4]. This has applications e.g. in optical sensors [5], where so-called exceptional points in parameter space can be used to enhance sensitivity [6].

We study the backscattering process between CW and CCW waves from pure classical ray dynamics. To this end we construct a finite approximation of Frobenius-Perron operator F to describe the time evolution of phase-space densities. The eigenstates of F show interesting analogues to quasibound states, including non-orthogonality and chirality. Our method is demonstrated for a spiral geometry and the asymmetric Limaçon.

[1] J. Wiersig, S. W. Kim and M. Hentschel PRA 78, 053809 (2008); [2] J. Wiersig, A. Eberspächer, J.-B. Shim, J.-W. Ryu, S. Shinohara, M. Hentschel and H. Schomerus PRA 84, 023845 (2011); [3] J. Wiersig PRA 84, 063828 (2011); [4] J. Wiersig PRA 89, 012119 (2014); [5] F. Vollmer, L. Yang, Nanophotonics 1, 267 (2012); [6] J. Wiersig PRL 112, 203901 (2014)