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We analyse the dynamics of a one-dimensional vertical Fabry-P\'erot cavity, where the upper mirror levitates due to intra-cavity radiation pressure force. A perturbative approach is used based around separation of timescales, which allows…

Screening rules allow to early discard irrelevant variables from the optimization in Lasso problems, or its derivatives, making solvers faster. In this paper, we propose new versions of the so-called $\textit{safe rules}$ for the Lasso.…

Machine Learning · Statistics 2015-12-07 Olivier Fercoq , Alexandre Gramfort , Joseph Salmon

We study the possibility of revealing a weak coherent force by using a pendular mirror as a probe, and coupling this to a radiation field, which acts as the meter, in a cavityless configuration. We determine the sensitivity of such a scheme…

Quantum Physics · Physics 2007-05-23 Rachele Fermani , Stefano Mancini , Paolo Tombesi

The transverse field structure and diffraction loss of the resonant modes of Fabry-P\'erot optical cavities are acutely sensitive to the alignment and shape of the mirror substrates. We develop extensions to the `mode mixing' method…

State-of-the-art Doppler experiments require wavelength calibration with precision at the cm/s level. A low-finesse Fabry-Perot interferometer (FPI) can provide a wavelength comb with a very large bandwidth as required for astronomical…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 A. Reiners , R. K. Banyal , R. G. Ulbrich

A disordered mean field model for multimode laser in open and irregular cavities is proposed and discussed within the replica analysis. The model includes the dynamics of the mode intensity and accounts also for the possible presence of a…

Statistical Mechanics · Physics 2015-05-20 Fabrizio Antenucci , Andrea Crisanti , Luca Leuzzi

Cavity optomechanics explores the coupling between the optical field and the mechanical oscillation to induce cooling and regenerative oscillation in a mechanical oscillator. So far, optomechanics relies on the detuning between the cavity…

The ability to engineer entangled states that involve macroscopic objects is of particular importance for a wide variety of quantum-enabled technologies, ranging from quantum information processing to quantum sensing. Here we propose how to…

Quantum Physics · Physics 2024-08-07 Ya-Feng Jiao , Yun-Lan Zuo , Yan Wang , Wangjun Lu , Jie-Qiao Liao , Le-Man Kuang , Hui Jing

This paper addresses the resilience of large-scale closed-loop structured systems in the sense of arbitrary pole placement when subject to failure of feedback links. Given a structured system with input, output, and feedback matrices, we…

Optimization and Control · Mathematics 2019-04-01 RaviTeja Gundeti , Shana Moothedath , Prasanna Chaporkar

Current and future high-contrast imaging instruments require extreme Adaptive Optics (XAO) systems to reach contrasts necessary to directly image exoplanets. Telescope vibrations and the temporal error induced by the latency of the control…

Instrumentation and Methods for Astrophysics · Physics 2020-12-04 Rico Landman , Sebastiaan Y. Haffert , Vikram M. Radhakrishnan , Christoph U. Keller

The application of the non conventional imaging technique LOFI (Laser Optical Feedback Imaging) to coherent microscopy is presented. This simple and efficient technique using frequency-shifted optical feedback needs the sample to be scanned…

Ultrastable lasers form the back bone of precision measurements in science and technology. Such lasers attain their stability through frequency locking to reference cavities. State-of-the-art locking performances to date had been achieved…

Optics · Physics 2022-03-10 Fritz Diorico , Artem Zhutov , Onur Hosten

The purpose of this paper is to investigate the coherent feedback $H^\infty$ control problem for linear quantum systems. A key contribution is a simplified design methodology that guarantees closed-loop stability and a prescribed level of…

Quantum Physics · Physics 2026-04-09 Guofeng Zhang , Ian R. Petersen

We evaluate the exact dipole coupling strength between a single emitter and the radiation field within an optical cavity, taking into account the effects of multilayer dielectric mirrors. Our model allows one to freely vary the resonance…

Quantum Physics · Physics 2021-04-21 Astghik Saharyan , Juan-Rafael Álvarez , Thomas H. Doherty , Axel Kuhn , Stéphane Guerin

The generation of large-amplitude coherent states of a massive mechanical resonator, and their quantum-limited detection represent useful tools for quantum sensing and for testing fundamental physics theories. In fact, any weak perturbation…

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

Information Theory · Computer Science 2013-02-07 Lixin Shen , Bruce W. Suter

We report a quantum optical storage time-extended near perfect photon echo protocol using a phase locking method via an auxiliary spin state, where the phase locking acts as a conditional stopper of the rephasing process resulting in…

Quantum Physics · Physics 2009-12-07 B. S. Ham

Long-storage-time Fabry-Perot cavities are a core component of many precision measurement experiments. Optical loss in such cavities is a critical parameter in determining their performance; however, it is very difficult to determine a…

Optics · Physics 2013-11-28 T. Isogai , J. Miller , P. Kwee , L. Barsotti , M. Evans

Self-injection locking (SIL) of laser diodes to microresonators is a powerful technique that enables compact narrow linewidth lasers. Here, we extend this technique to chip-integrated Fabry-Perot microresonators, which offer high-quality…

We report on a device to electronically stabilize the optical injection lock of a semiconductor diode laser. Our technique uses as discriminator the peak height of the laser's transmission signal on a scanning Fabry-Perot cavity and feeds…

Atomic Physics · Physics 2016-06-15 Brendan Saxberg , Benjamin Plotkin-Swing , Subhadeep Gupta