Statistics of chaotic resonances in an optical microcavity

Wang, Li; Lippolis, Domenico; Li, Ze‐Yang; Jiang, Xuefeng; Gong, Qihuang; Xiao, Yun‐Feng

doi:10.1103/physreve.93.040201

Cited by 23 publications

(9 citation statements)

References 38 publications

(53 reference statements)

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“…There is still significant progress to be made in the development of WGM microresonator structures, such as deformed microresonators, 136 , 137 , 138 , 139 , 140 , 141 , 142 , 143 , 144 endoscopic sensing probes, 145 , 146 and WGM sensors in chip-based microfluidics channels. 147 Not only will these lead to further improvement in device sensitivity but they will also allow for the detection of analytes that are beyond the reach of current techniques.…”

Section: Discussionmentioning

confidence: 99%

Whispering-Gallery Sensors

Jiang

Qavi

Huang

et al. 2020

Matter

204

105

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Summary Optical whispering-gallery mode (WGM) microresonators, confining resonant photons in a microscale volume for long periods of time, strongly enhance light-matter interactions, making them an ideal platform for photonic sensors. One of the features of WGM sensors is their capability to respond to environmental perturbations that influence the optical mode distribution. The exceptional sensitivity of WGM devices, coupled with the diversity in their structures and the ease of integration with existing infrastructures, such as conventional chip-based technologies, has catalyzed the development of WGM sensors for a broad range of analytes. WGM sensors have been developed for multiplexed detection of clinically relevant biomolecules while also being adapted for the analysis of single-protein interactions. They have been used for the detection of materials in different phases and forms, including gases, liquids, and chemicals. Furthermore, WGM sensors have been used for a wide variety of field-based sensing applications, including electric field, magnetic field, force, pressure, and temperature. WGM sensors hold great potential for applications in life and environmental sciences. They are expected to meet the ever-increasing demand in sensor networks, the Internet of Things, and real-time health monitoring. Here we review the mechanisms, structures, parameters, and recent advances of WGM microsensors and discuss the future of this exciting research field.

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Section: Discussionmentioning

confidence: 99%

Whispering-Gallery Sensors

Jiang

Qavi

Huang

et al. 2020

Matter

204

105

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“…We are interested in the steady-state solution, obtained by settingȧ ω =ḃ n = 0. The amplitude a ω of the envelope of the regular mode is found to be [38] a ω = E 0 n f n Vn γn…”

Section: A Mode-mode Coupling Theorymentioning

confidence: 99%

“…3. If we then want to remove the states that decay within Ehrenfest time from the estimate of n γ , we just combine (22) and (19), obtaining [38,43] n γ,…”

Section: Statistics Of Chaotic Statesmentioning

confidence: 99%

“…Sec. II D) out of the M Planck cells available in the phase space, are produced by the absorber (full opening, N a ) and the refraction out of the cavity (partial opening, N r ), so that the mean dwell time of a ray is given by [38] We proceed by steps and examine the above theories (classical, RMT, semiclassical) for the number of chaotic states n γ with escape rate less than γ, as a function of the mean dwell time τ d , or, equivalently, the rescaled absorber-to-cavity ratio ξ. We setξ = 1/τ d = ξ/A + N r /M , and rewrite the predictions of section II D in terms ofξ.…”

Section: A Absorber and Phase Spacementioning

confidence: 99%

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Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

2017

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A deformed dielectric microcavity is used as an experimental platform for the analysis of the statistics of chaotic resonances, in the perspective of testing fractal Weyl laws at optical frequencies. In order to surmount the difficulties that arise from reading strongly overlapping spectra, we exploit the mixed nature of the phase space at hand, and only count the high-Q whispering-gallery modes (WGMs) directly. That enables us to draw statistical information on the more lossy chaotic resonances, coupled to the high-Q regular modes via dynamical tunneling. Three different models [classical, Random-Matrix-Theory (RMT) based, semiclassical] to interpret the experimental data are discussed. On the basis of least-squares analysis, theoretical estimates of Ehrenfest time, and independent measurements, we find that a semiclassically modified RMT-based expression best describes the experiment in all its realizations, particularly when the resonator is coupled to visible light, while RMT alone still works quite well in the infrared. In this work we reexamine and substantially extend the results of a short paper published earlier [L. Wang et al., Phys. Rev. E 93, 040201(R) (2016)2470-004510.1103/PhysRevE.93.040201].

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“…• Semiclassical structure of resonances in chaotic systems and Fractal Weyl law, see [38] and further references in the review [39]. For a recent experiment see [40]. • Resonance properties in systems with diffusion of waves [41], [42], with wave scattering generated by pointlike active scatterers [43], and in interacting many-body chaotic systems [44].…”

Section: Resonance Eigenfunction Non-orthogonalitymentioning

confidence: 99%

Random Matrix Theory of resonances: An overview

Fyodorov

2016

2016 URSI International Symposium on Electromagnetic Theory (EMTS)

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Abstract-Scattering of electromagnetic waves in billiard-like systems has become a standard experimental tool of studying properties associated with Quantum Chaos. Random Matrix Theory (RMT) describing statistics of eigenfrequencies and associated eigenfunctions remains one of the pillars of theoretical understanding of quantum chaotic systems. In a scattering system coupling to continuum via antennae converts real eigenfrequencies into poles of the scattering matrix in the complex frequency plane and the associated eigenfunctions into decaying resonance states. Understanding statistics of these poles, as well as associated non-orthogonal resonance eigenfunctions within RMT approach is still possible, though much more challenging task.

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Statistics of chaotic resonances in an optical microcavity

Cited by 23 publications

References 38 publications

Whispering-Gallery Sensors

Whispering-Gallery Sensors

Counting statistics of chaotic resonances at optical frequencies: Theory and experiments

Random Matrix Theory of resonances: An overview

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