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The paper describes the robust algorithm for linear time-invariant plants under parametric uncertainties, external disturbances and high-frequency noises in measurements. The proposed algorithm allows one to reduce the noise impact on the…

Systems and Control · Computer Science 2016-12-30 I. B. Furtat , A. N. Nekhoroshikh

Parametric modulation, valued for its versatility, is widely employed in superconducting circuits for quantum simulations and high-fidelity two-qubit gates. Conventionally, the qubit coupling strength is determined by the amplitude of the…

Quantum Physics · Physics 2025-11-25 Zhuang Ma , Xianke Li , Hongyi Shi , Ruonan Guo , Jianwen Xu , Xinsheng Tan , Yang Yu

Advanced gravitational wave interferometric detectors will operate at their design sensitivity with nearly 1MW of laser power stored in the arm cavities. Such large power may lead to the uncontrolled growth of acoustic modes in the test…

Instrumentation and Methods for Astrophysics · Physics 2015-10-07 Slawek Gras , Peter Fritschel , Lisa Barsotti , Matthew Evans

Photonic crystal (PhC) membranes patterned with sub-wavelength periods offer a unique combination of high reflectivity, low mass, and high mechanical quality factor. We demonstrate a PhC membrane that we use as one mirror of a Fabry-Perot…

Optics · Physics 2022-11-22 Feng Zhou , Yiliang Bao , Jason J. Gorman , John Lawall

The control of light transmission through a Fabry-Perot cavity containing atoms is theoretically investigated, when the cavity mode beam and an intersecting control beam are both close to specific atomic resonances. A four-level atomic…

Optics · Physics 2016-02-10 Rahul Sawant , S. A. Rangwala

We demonstrate a new method of light phase shift measurement using a high-finesse optical ring cavity which exhibits reduced phase noise due to cavity length fluctuations. Two laser beams with a frequency difference of one cavity free…

Atomic Physics · Physics 2021-02-24 Enlong Wang , Gunjan Verma , Jonathan N. Tinsley , Nicola Poli , Leonardo Salvi

We present a simple feedback description of parametric instabilities which can be applied to a variety of optical systems. Parametric instabilities are of particular interest to the field of gravitational-wave interferometry where high…

General Relativity and Quantum Cosmology · Physics 2010-02-10 M. Evans , L. Barsotti , P. Fritschel

Cavity optomechanical phenomena, such as cooling, amplification or optomechanically induced transparency, emerge due to a strong imbalance in the dissipation rates of the parametrically coupled electromagnetic and mechanical resonators.…

Quantum Physics · Physics 2014-07-29 A. Nunnenkamp , V. Sudhir , A. K. Feofanov , A. Roulet , T. J. Kippenberg

In this paper, we address the robustness of parabolic-elliptic systems under boundary control. A sliding mode control strategy is proposed to reject matched perturbations. The stability analysis establishes finite-time convergence of the…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Moussa Labbadi , Ilyasse Lamrani

We analyze the optical spring characteristics of a double pumped Fabry-Perot cavity. A double-resonance optical spring occurs when the optical spring frequency and the detuning frequency of the cavity coincide. We formulate a simple…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Andrey Rakhubovsky , Stefan Hild , Sergey Vyatchanin

We present a scheme for locking optical cavities with arbitrary detuning many line widths from resonance using an electro-optic modulator that can provide arbitrary ratios of amplitude to phase modulation. We demonstrate our scheme on a…

Optics · Physics 2023-07-19 William Yam , Emily Davis , Sarah Ackley , Matthew Evans , Nergis Mavalvala

An optical cavity consisting of optically trapped mirrors makes a resonant bar that can be stiffer than diamond. A limitation of the stiffness arises in the length of the optical bar as a consequence of the finite light speed. High laser…

Optics · Physics 2020-07-06 K. Somiya , J. Kato , K. Yano , N. Saito

We analyze the electromagnetic fields in a Pound-Drever-Hall locked, marginally unstable, Fabry-Perot cavity as a function of small changes in the cavity length during resonance. More specifically, we compare the results of a detailed…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Andri M. Gretarsson , Erika D'Ambrosio , Valery Frolov , Brian O'Reilly , Peter K. Fritschel

We propose and demonstrate a technique to control the balance between the two amplitudes of a dual-wavelength laser based on a phase-controlled optical feedback. The feedback cavity length is adjusted to achieve a relative phase shift…

Optics · Physics 2022-07-04 Robert Pawlus , Stefan Breuer , Martin Virte

We present a scheme to strongly enhance the readout sensitivity of the squared displacement of a mobile scatterer placed in a Fabry-P\'erot cavity. We investigate the largely unexplored regime of cavity electrodynamics in which a highly…

Quantum Physics · Physics 2013-11-20 Claudiu Genes , André Xuereb , Guido Pupillo , Aurélien Dantan

The measurement of weak continuous forces exerted on a mechanical oscillator is a fundamental problem in various physical experiments. It is fundamentally impeded by quantum back-action from the meter used to sense the displacement of the…

Quantum Physics · Physics 2021-09-08 Kentaro Komori , Takuya Kawasaki , Sotatsu Otabe , Yutaro Enomoto , Yuta Michimura , Masaki Ando

We demonstrate an all-optical bump-on-tail instability by considering the nonlinear interaction of two partially-coherent spatial beams. For weak wave coupling, we observe momentum transfer with no variation in intensity. For strong wave…

Optics · Physics 2009-11-13 Dmitry V. Dylov , Jason W. Fleischer

Optics experiments critically require the stable and accurate locking of relative phases between light beams or the stabilization of Fabry-Perot cavity lengths. Here, we present a simple and inexpensive technique based on a stand-alone…

Optics · Physics 2015-01-12 K. Huang , H. Le Jeannic , J. Ruaudel , O. Morin , J. Laurat

We discuss the influence of Young's modulus temperature dependence on the number of parametrically unstable modes in a Fabry-Perot cavity of Advanced LIGO interferometer. Some unstable modes may be suppressed by changing the mirror's…

Instrumentation and Methods for Astrophysics · Physics 2018-12-03 S. E. Strigin

Optical frequency stabilization is a critical component for precision scientific systems including quantum sensing, precision metrology, and atomic timekeeping. Ultra-high quality factor photonic integrated optical resonators are a prime…