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Nonlinear and Quantum Optics with Whispering Gallery Resonators (1605.07972v2)

Published 25 May 2016 in physics.optics and quant-ph

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.

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Summary

  • The paper shows that WGM resonators, with their high-Q and small mode volumes, allow significant optical nonlinearities at low photon levels.
  • It details how enhanced three- and four-wave mixing processes in WGMs lead to the generation of optical harmonics and nonclassical light states.
  • The study emphasizes practical applications including on-chip integration, paving the way for scalable quantum computing and advanced photonic devices.

Nonlinear optics serves a key function in facilitating the interaction of light with itself and other physical systems. A manifestation of this is observed in whispering gallery mode (WGM) resonators, which are notable for their high quality factors (Q) and small mode volumes, making them exceptionally efficient tools for nonlinear optics applications across a broad spectrum of wavelengths from radio frequencies to ultraviolet light. These characteristics allow for interactions at the levels of few photons, markedly enhancing the nonlinear response to faint light.

WGMs are named after the acoustic phenomenon in which waves are guided by a curved boundary, an observation first formalized by Lord Rayleigh. WGMs encapsulate this concept within optical systems, particularly in monolithic microresonators. These systems utilize total internal reflection to confine light within resonator boundaries, resulting in exceptionally low loss at specific optical modes. This makes WGMs advantageous for nonlinear and quantum optics applications, as they can operate over a wide range of wavelengths.

Nonlinear Interactions and Applications

In nonlinear optics, large nonlinear optical susceptibility is crucial for achieving significant interactions at low light levels—an area where WGM resonators excel, thanks to their high-Q and discoid nature. These resonators serve in enhancing three- and four-wave mixing processes, essential for generating optical harmonics, producing nonclassical light states, and manipulating quantum information.

From a theoretical perspective, the Cavity enhancement, driven by the Q-factor and the mode volume, allows for extended interaction times of the confined optical fields, potentially facilitating strong photon interactions without absorption. Successfully exploiting WGMs in quantum and nonlinear optics requires balancing these parameters with practical considerations like fabrication precision, material choice, and tolerance to environmental factors.

Applications of WGMs extend broadly—from enhancing the efficiency of nonlinear optical processes to supporting quantum phenomena observation. Their geometry allows for integration into on-chip platforms, promoting scalability and multiplexing capabilities, essential for modern photonic devices.

Quantum Optical Applications

WGM resonators are poised for potential breakthroughs in quantum optics, such as coherent state manipulation and photon blockade phenomena. The remarkably high Q-values achievable in these systems hold promise for advancing quantum computing and information processing by allowing intricate interactions between light and quantum systems, such as single atoms or quantum dots.

Future Perspectives

Continued development of WGMs as nonlinear optical tools may lead to advancements in optical coherence manipulation and quantum communication systems. Given their efficiency in nonlinear interactions even at low photon levels, they represent a frontier in semiconductor optics and quantum photonics. As the fabrication of these devices becomes more precise and cost-effective, their applications could further expand, paving the way for more integrated optical devices with quantum capabilities.

In summary, WGM resonators stand as pivotal components at the intersection of nonlinear and quantum optics, providing a robust framework that leverages their unique geometrical properties to foster new optical technologies. The ongoing research and development in this domain are expected not only to enhance understanding of light-matter interactions but also to catalyze innovations across photonics and quantum information science.

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