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Resonance-assisted tunneling in deformed optical microdisks with a mixed phase space

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Ketzmerick,  Roland
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bäcker,  Arnd
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1907.06900.pdf
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Citation

Fritzsch, F., Ketzmerick, R., & Bäcker, A. (2019). Resonance-assisted tunneling in deformed optical microdisks with a mixed phase space. Physical Review E, 100(4): 042219. doi:10.1103/PhysRevE.100.042219.


Cite as: https://hdl.handle.net/21.11116/0000-0005-88CB-D
Abstract
The lifetimes of optical modes in whispering-gallery cavities depend crucially on the underlying classical ray dynamics, and they may be spoiled by the presence of classical nonlinear resonances due to resonance-assisted tunneling. Here we present an intuitive semiclassical picture that allows for an accurate prediction of decay rates of optical modes in systems with a mixed phase space. We also extend the perturbative description from near-integrable systems to systems with a mixed phase space, and we find equally good agreement. Both approaches are based on the approximation of the actual ray dynamics by an integrable Hamiltonian, which enables us to perform a semiclassical quantization of the system and to introduce a ray-based description of the decay of optical modes. The coupling between them is determined either perturbatively or semiclassically in terms of complex paths.