Quantum chaos in optical microcavities
Final Report Abstract
The topic of project P6 have been optical microcavities in the context of basic research – model systems for quantum chaos – as well as with a strong reference to applications – the emission properties of optical microlasers with the holy grail to achieve unidirectional light emission from high quality modes. The first funding period showed that both aspects merged: The unstable manifold of the chaotic saddle, a really mathematical object, determines the far-field emission pattern and explains all its properties (its robustness, its independence on the resonance chosen) in a very nice, very obvious way. It is also a paradigm example of ray-wave correspondence in open systems. In the second funding period we have, on the one-hand side, deepened our understanding of single optical microcavities and extended it to coupled cavities. We kept close relations to a number of experimental groups with fruitful results. We extended the system class considered by (i) adding Kerrnonlinearities to the index of refraction, (ii) addressing cavities with negative refraction, (iii) investigating lasing vs. non-lasing cavities, (iv) studying fully asymmetric cavities in the context of exceptional points, and (v) considering wavelength-scale cavities that may become relevant for cavity quantum electrodynamics, thereby anticipating the experimental trend and demand. Driven by the application potential, we have continued our search for microcavities with directional emission properties by either perturbing the boundary of single resonators or combining disk resonators. We found interesting and also surprising results that in turn required new models to explain the findings. A central topic have again been semiclassical corrections to the ray dynamics in form of Goos-Hänchen shift and Fresnel filtering. Here we are close to a description that also takes curvature effects into account which rounds-up our achievements on this topic and will help correctly predict the far-field properties of microlasers based on a simple ray-model based description.
Publications
- Directional laser emission from a wavelength-scale chaotic microcavity, Phys. Rev. Lett. 105, 103902 (2010)
Q.H. Song, L. Ge, A.D. Stone, H.Cao, J. Wiersig, J.-B. Shim, J. Unterhinninghofen, W. Fang, and G. S. Solomon
(See online at https://doi.org/10.1103/PhysRevLett.105.103902) - Electromagnetic modes in cavities made of negative-index metamaterials, Phys. Rev. A 81, 023809 (2010)
J. Wiersig, J. Unterhinninghofen, H. Schomerus, U. Peschel, M. Hentschel
(See online at https://doi.org/10.1103/PhysRevA.81.023809) - Whispering-gallery mode resonators for highly unidirectional laser action, Proceedings of Nat. Acad. of Sci. USA 107, 22407 (2010)
Q. J. Wang, C. Yan, N. Yu, J. Unterhinninghofen, J. Wiersig, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso
(See online at https://doi.org/10.1073/pnas.1015386107) - Measurement of the Goos-Hänchen shift in a microwave cavity, New J. Phys. 13, 023013 (2011)
J. Unterhinninghofen, U. Kuhl, J. Wiersig, H.-J. Stöckmann, and M. Hentschel
(See online at https://doi.org/10.1088/1367-2630/13/2/023013) - Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities, Phys. Rev. A 84, 023845 (2011)
E] J. Wiersig, A. Eberspächer, J.-B. Shim, J.-W. Ryu, S. Shinohara, M. Hentschel, and H. Schomerus
(See online at https://doi.org/10.1103/PhysRevA.84.023845) - U.S. Patent No. 61/417,650: Highly unidirectional microcavity resonators, Dec 2011
F. Capasso, Q. J. Wang, N. Yu and J. Wiersig, J. Unterhinninghofen
- Whispering gallery modes formed by partial barriers in ultrasmall deformed microdisks, Phys. Rev. E 84, 035202(R) (2011)
J.-B. Shim, J. Wiersig, and H. Cao
(See online at https://doi.org/10.1103/PhysRevE.84.035202) - Designing coupled microcavity lasers for high-Q modes with unidirectional light emission, Opt. Lett. 36, 1116 (2012)
J.-W. Ryu, M. Hentschel
(See online at https://doi.org/10.1364/OL.36.001116) - Local Chirality of Optical Resonances in Ultrasmall Resonators, Phys. Rev. Lett. 108, 253902 (2012)
B. Redding, L. Ge, Q.H. Song, J. Wiersig, G. S. Solomon, and H. Cao
(See online at https://doi.org/10.1103/PhysRevLett.108.253902) - Phase-space analysis of lasing modes in a chaotic microcavity, Phys. Rev. A 88, 023855 (2013)
T.-Y. Kwon, S.-Y. Lee, J.-W. Ryu, M. Hentschel
(See online at https://doi.org/10.1103/PhysRevA.88.023855)
