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We consider a system in direct contact with a thermal reservoir and which, if left unperturbed, is well described by a memory-less equilibrium Langevin equation of the second order in the time coordinate. In such conditions, the strength of…

Statistical Mechanics · Physics 2015-05-13 Paolo De Gregorio , Lamberto Rondoni , Michele Bonaldi , Livia Conti

Thermoelastic loss is an important energy dissipation mechanisms in resonant systems. A careful analysis of the thermoelastic loss is critical to the design of low-noise devices for high-precision applications, such as the mirrors used for…

Materials Science · Physics 2023-06-27 Ruinan Zhou , Manel Molina-Ruiz , Frances Hellman

We investigate the response of a harmonically confined mirror to an optical pulse in cavity optomechanics. We show that when the pulsed coupling strength takes the form of a chirped pulse, thermal fluctuations of the mirror can be…

Quantum Physics · Physics 2013-08-30 Jie-Qiao Liao , C. K. Law

Using the generalized Langevin equations involving the stress tensor approach, we study the dynamics of a perfectly reflecting mirror which is exposed to the electromagnetic radiation pressure by a laser beam in a fluid at finite…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chun-Hsien Wu , Da-Shin Lee

We analyze the Brownian thermal noise of a multi-layer dielectric coating, used in high-precision optical measurements including interferometric gravitational-wave detectors. We assume the coating material to be isotropic, and therefore…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Ting Hong , Huan Yang , Eric K. Gustafson , Rana X. Adhikari , Yanbei Chen

Cooling forces result from the retarded dipole interaction between an illuminated particle and its reflection. For a one-dimensional example, we find cooling times of milliseconds and limiting temperatures in the millikelvin range. The…

Quantum Physics · Physics 2013-03-08 Tim Freegarde , James Bateman , André Xuereb , Peter Horak

The design and performance of a low-noise, modular cryogenic probe, applicable to a wide range of measurements over a broad range of working frequencies, temperatures, and magnetic fields is presented. The design of the probe facilitates…

Other Condensed Matter · Physics 2022-10-13 Erick Garcia , Calvin Bales , William Patterson , Alexander Zaslavsky , Vesna F. Mitrović

A mirror in the vacuum is submitted to a radiation pressure exerted by scattered fields. It is known that the resulting mean force is zero for a motionless mirror, but not for a mirror moving with a non-uniform acceleration. We show here…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

Optical measurement of the motion of a 940 kHz mechanical resonance of a silicon nitride nanostring resonator is demonstrated with a read out noise imprecision reaching 37 dB below that of the resonator's zero-point fluctuations. Via…

Optics · Physics 2015-06-04 Alex G. Krause , Tim D. Blasius , Oskar Painter

Three-mode parametric instability is a threat to attaining design power levels in Advanced gravitational wave detectors. The first observation of three-mode parametric instability in a long optical cavity revealed that instabilities could…

Instrumentation and Detectors · Physics 2017-06-21 Y. B. Ma , J. Liu , Y. Q. Ma , C. Zhao , L. Ju , D. G. Blair , Z. H. Zhu

We simultaneously cool $\gtrsim$100 mechanical modes of a membrane with a photothermally modified optical cavity driven by a single blue-detuned laser. In contrast to radiation pressure and bolometric forces applied directly to the…

Optics · Physics 2025-05-14 Thomas J. Clark , Jiaxing Ma , Jack C. Sankey

We show that back-action noise in interferometric measurements such as gravitational-waves detectors can be completely suppressed by a local control of mirrors motion. An optomechanical sensor with an optimized measurement strategy is used…

General Relativity and Quantum Cosmology · Physics 2010-12-17 J. -M. Courty , A. Heidmann , M. Pinard

It is shown that an optical parametric amplifier inside a cavity can considerably improve the cooling of the micromechanical mirror by radiation pressure. The micromechanical mirror can be cooled from room temperature 300 K to sub-Kelvin…

Quantum Physics · Physics 2009-11-21 Sumei Huang , G. S. Agarwal

We present the design and implementation of a mechanical low-pass filter vibration isolation used to reduce the vibrational noise in a cryogen-free dilution refrigerator operated at 10 mK, intended for scanning probe techniques. We discuss…

We consider the radiative trapping and cooling of a partially transmitting mirror suspended inside an optical cavity, generalizing the case of a perfectly reflecting mirror previously considered [M. Bhattacharya and P. Meystre, Phys. Rev.…

Quantum Physics · Physics 2009-11-13 M. Bhattacharya , H. Uys , P. Meystre

Measurement-based control, utilizing an active feedback loop, is a standard tool in technology. Feedback control is also emerging as a useful and fundamental tool in quantum technology and in related fundamental studies, where it can be…

Quantum Physics · Physics 2024-03-05 Cheng Wang , Louise Banniard , Laure Mercier de Lépinay , Mika A. Sillanpää

New Brillouin scattering measurements of velocity and attenuation of sound in the hypersonic regime are presented. The data are analyzed together with the literature results at sonic and ultrasonic frequencies. As usual, thermally activated…

Materials Science · Physics 2012-09-25 Guillaume Guimbretière , Benoît Rufflé , René Vacher

The operation of an interferometer for gravitational waves detection requires sophisticated feedback controls in many parts of the apparatus. The aim of this lecture is to introduce the types of problems to be faced in this line of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Giovanni Losurdo

We have employed a feedback cooling scheme, which combines high-frequency mixing with digital signal processing. The frequency and damping rate of a 2 MHz micromechanical resonator embedded in a dc SQUID are adjusted with the feedback, and…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 M. Poot , S. Etaki , H. Yamaguchi , H. S. J. van der Zant

We show that one can cool a micro-mechanical oscillator to its quantum ground state using radiation pressure in an appropriately detuned cavity (self-cooling). From a simple theory based on Heisenberg-Langevin equations we find that optimal…

Quantum Physics · Physics 2012-02-08 Aurelien Dantan , Claudiu Genes , David Vitali , Michel Pinard