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Sensing via a mechanical frequency shift is a powerful measurement tool, and, therefore, understanding and mitigating frequency noise affecting mechanical resonators is imperative. Thermomechanical noise fundamentally limits mechanical…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Sofia C. Brown , Ravid Shaniv , Ruomu Zhang , Chris Reetz , Cindy A. Regal

Thermal frequency fluctuations in optical cavities limit the sensitivity of precision experiments ranging from gravitational wave observatories to optical atomic clocks. Conventional modeling of these noises assumes a linear response of the…

Optically levitated rotors are prime candidates for torque sensors whose precision is limited by the fluctuationsof the rotation frequency. In this work we investigate an optically levitated rotor at its fundamental thermal limitof…

Measuring thermodynamic quantities can be easy or not, depending on the system that is being studied. For a macroscopic object, measuring temperatures can be as simple as measuring how much a column of mercury rises when in contact with the…

Quantum Physics · Physics 2015-09-15 O. P. de Sá Neto , M. C. de Oliveira , G. J. Milburn

We determine the quantum Cram\'er-Rao bound for the precision with which the oscillator frequency and damping constant of a damped quantum harmonic oscillator in an arbitrary Gaussian state can be estimated. This goes beyond standard…

Quantum Physics · Physics 2020-08-05 Patrick Binder , Daniel Braun

The motion of a vibrating object is determined by the way it is held. This simple observation has long inspired string instrument makers to create new sounds by devising elegant string clamping mechanisms, whereby the distance between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Yue Ying , Zhuo-Zhi Zhang , Joel Moser , Zi-Jia Su , Xiang-Xiang Song , Guo-Ping Guo

By direct application of the fluctuation-dissipation theorem, we numerically calculate the fundamental dimensional fluctuations of crystalline CaF2 whispering gallery resonators in the case of structural damping, and the limit that this…

Quantum Physics · Physics 2015-05-28 Akobuije Chijioke , Qun-Feng Chen , Alexander Yu. Nevsky , Stephan Schiller

We derive a quantum Cram\'er-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and…

Quantum Physics · Physics 2011-10-31 Mankei Tsang , Howard M. Wiseman , Carlton M. Caves

We demonstrate thermometry with a resolution of 80 $\mathrm{nK} / \sqrt{\mathrm{Hz}}$ using an isotropic crystalline whispering-gallery mode resonator based on a dichroic dual-mode technique. We simultaneously excite two modes that have a…

Mechanical resonators based on low-dimensional materials provide a unique platform for exploring a broad range of physical phenomena. The mechanical vibrational states are indeed extremely sensitive to charges, spins, photons, and adsorbed…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 I. Tsioutsios , A. Tavernarakis , J. Osmond , P. Verlot , A. Bachtold

Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of…

Statistical Mechanics · Physics 2014-10-27 H. Yan , E. A. Housworth , H. O. Meyer , G. Visser , E. Weisman , J. C. Long

Thermodynamic noise places a fundamental limit on the frequency stability of dielectric optical resonators. Here, we present the characterization of thermo-refractive noise in photonic-chip-based silicon nitride microresonators and show…

Thermoelectric materials exhibit correlated transport of charge and heat. The Johnson-Nyquist noise formula $ 4 k_B T R $ for spectral density of voltage fluctuations accounts for fluctuations associated solely with Ohmic dissipation.…

A resonator can be effectively used as a cooler for another linear oscillator with a much smaller frequency. A huge cooling effect, which could be used to cool a mechanical oscillator below the energy of quantum fluctuations, has been…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Grajcar , S. Ashhab , J. R. Johansson , Franco Nori

Mechanical resonances are used in a wide variety of devices; from smart phone accelerometers to computer clocks and from wireless communication filters to atomic force microscope sensors. Frequency stability, a critical performance metric,…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Swapan K. Roy , Vincent T. K. Sauer , Jocelyn N. Westwood-Bachman , Anandram Venkatasubramanian , Wayne K. Hiebert

Oscillators based on levitated particles are promising for the development of ultrasensitive force detectors. The theoretical performance of levitated nanomechanical sensors is usually characterized by the so-called thermal noise limit…

Instrumentation and Detectors · Physics 2022-03-23 Zhenhai Fu , Shaochong Zhu , Ying Dong , Xingfan Chen , Huizhu Hu , Xiaowen Gao

The circumgalactic medium (CGM) is poorly constrained at the sub-parsec scales relevant to turbulent energy dissipation and regulation of multi-phase structure. Fast radio bursts (FRBs) are sensitive to small-scale plasma density…

Astrophysics of Galaxies · Physics 2025-07-25 S. K. Ocker , M. Chen , S. P. Oh , P. Sharma

Mechanical transduction of torque has been key to probing a number of physical phenomena, such as gravity, the angular momentum of light, the Casimir effect, magnetism, and quantum oscillations. Following similar trends as mass and force…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 P. H. Kim , B. D. Hauer , C. Doolin , F. Souris , J. P. Davis

We propose a method for frequency stabilization of a resonant opto-mechanical oscillator utilizing the different temperature and strain dependence of the optical and mechanical modes. In particular, we show that the temperature of the…

Optics · Physics 2010-06-29 A. B. Matsko , A. A. Savchenkov , V. S. Ilchenko , D. Seidel , L. Maleki

Inspired by some recent experiments and numerical works related to nanoresonators, we perform classical molecular dynamics simulations to investigate the thermal expansion and the ability of the device to act as a strain sensor assisted by…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Agustín Mancardo Viotti , Alejandro G. Monastra , Mariano F. Moreno , M. Florencia Carusela