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arXiv:1605.07972 · Journal of Optics

Nonlinear and quantum optics with whispering gallery resonators

Dmitry Strekalov, Christoph Marquardt, Andrey B. Matsko, Harald G. L. Schwefel, Gerd Leuchs

Published Nov 16, 2016• 328 citations
arXivHTMLPDF

Abstract

Optical whispering gallery modes (WGMs) derive their name from a famous acoustic phenomenon of guiding a wave by a curved boundary observed nearly a century ago.This phenomenon has a rather general nature, equally applicable to sound and all other waves.It enables resonators of unique properties attractive both in science and engineering.Very high quality factors of optical WGM resonators persisting in a wide wavelength range spanning from radio frequencies to ultraviolet light, their small mode volume, and tunable in-and out-coupling make them exceptionally efficient for nonlinear optical applications.Nonlinear optics facilitates interaction of photons with each other and with other physical systems, and is of prime importance in quantum optics.In this paper we review numerous applications of WGM resonators in nonlinear and quantum optics.We outline the current areas of interest, summarize progress, highlight difficulties, and discuss possible future development trends in these areas.

DOI
10.1088/2040-8978/18/12/123002

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Efficient generation of harmonics in nonlinear optical resonators, particularly in whispering-gallery-mode (WGM) resonators, has led to successes such as parametric oscillators, narrow-band single-photon sources, and versatile frequency converters. A subtle problem, though, has strongly limited efficiency and hindered precise out-coupling of the generated light. Implementing their own prior theory and a polarization-selective birefringent coupling prism, the authors demonstrate an improvement of more than an order of magnitude in the amount of out-coupled light. The results are particularly interesting for applications in quantum optics relying on WGMs.
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Summary form only given, as follows: The high Q whispering gallery modes of silica microspheres are promising for quantum optics and nonlinear optics experiments involving atoms and photons stored in very small volumes. We have developed the technology of these resonators, learning how to couple light in and out through optical fibers, how to obtain and measure record Q factors, and how to probe, by near-field optical microscopy, the electric field distribution immediately outside the sphere. Whispering gallery mode lasers have also been obtained with microspheres made of silica doped with neodymium ions. We describe these experiments and discuss projects involving the coupling of whispering gallery modes to single atoms or ions to perform cavity QED experiments in the optical domain.
Quantum information is the next frontier in communications. to realize quantum communications, the quantum mechanical properties of today's best communication medium, light, must be harnessed in a scalable and efficient manner. Whispering-gallery mode resonators (WGMRs), a type of optical cavity, have advantages over traditional designs that can enhance processes used in the generation of nonclassical (quantum) states of light. In particular they reduce the power threshold for intensity-dependent nonlinear phenomena. One such process, second harmonic generation, can reduce the shot noise of light below the standard quantum limit. This dissertation explores the theoretical analysis and experimental tests of noise reduction through second harmonic generation in a crystalline whispering-gallery mode resonator. We also observe the generation of another nonlinear optical process, hyper-Raman scattering, at modest optical powers inside a crystalline WGMR. The change in optical properties of vanadium dioxide due to an optically-induced phase transition is also studied as a potential Q-switching material in a WGMR-type cavity.