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The correlation of phase fluctuations in any type of oscillator fundamentally defines its spectral shape. However, in nonlinear oscillators, such as spin torque nano oscillators, the frequency spectrum can become particularly complex. This…

We present a method to stabilize the frequency of self-sustained vibrations in micro- and nanomechanical resonators. The method refers to a two-mode system with the vibrations at significantly different frequencies. The signal from one mode…

Systems and Control · Electrical Eng. & Systems 2024-05-21 B. Zhang , Yingming Yan , X. Dong , M. I. Dykman , H. B. Chan

Modern resonant sensing tools can achieve increasingly high quality factors, which correspond to extremely narrow linewidths. In such systems, time-variation of the resonator's natural frequency can potentially impact its ability to…

Instrumentation and Detectors · Physics 2026-03-24 Hao-Ran Cui , Saarik Kalia , Zhen Liu

Long-lived, high-frequency phonons are valuable for applications ranging from optomechanics to emerging quantum systems. For scientific as well as technological impact, we seek high-performance oscillators that offer a path towards…

Ultra-stable lasers are fundamental to a growing range of applications, including optical frequency metrology, fundamental physics and quantum sensing. Their outstanding performance is achieved by stabilizing their frequency to Ultra-Low…

To measure the standard quantum limit (SQL) a high quality transducer must be coupled to a high quality mechanical system. Due to its monolithic nature, the monolithic sapphire transducer (MST) has high quality factors for both types of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 C. R. Locke , M. E. Tobar , E. N. Ivanov

We report the confinement of an optomechanical micro-oscillator in a squeezed thermal state, obtained by parametric modulation of the optical spring. We propose and implement an experimental scheme based on parametric feedback control of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. Pontin , M. Bonaldi , A. Borrielli , F. S. Cataliotti , F. Marino , G. A. Prodi , E. Serra , F. Marin

The frequencies of a cryogenic sapphire oscillator and a hydrogen maser are compared to set new constraints on a possible violation of Lorentz invariance. We determine the variation of the oscillator frequency as a function of its…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Peter Wolf , Sébastien Bize , André Clairon , André N. Luiten , Giorgio Santarelli , Michael E. Tobar

We consider a system in which some high frequency harmonic oscillators are coupled with a slow system. We prove that up to very long times the energy of the high frequency system changes only by a small amount. The result we obtain is…

Dynamical Systems · Mathematics 2014-02-04 Dario Bambusi , Antonio Giorgilli , Simone Paleari , Tiziano Penati

Optical reference resonators serve as a cornerstone in various scientific fields. In recent years, there has been an increasing demand for compact ultrastable reference resonators capable of operating in ambient environments, enabling…

Optics · Physics 2025-12-08 Xing Jin , Xuanyi Zhang , Fangxing Zhang , Zhenyu Xie , Shui-Jing Tang , Qi-Fan Yang

Using an ultrastable continuous-wave laser at 580 nm we performed spectral hole burning of Eu$^{3+}$:Y$_{2}$SiO$_{5}$ at very high spectral resolution. Essential parameters determining the usefulness as a "macroscopic" frequency reference:…

Achieving the highest possible mass resolving power in a multi-reflection time-of-flight mass spectrometer requires very high-stability power supplies. To this end, we have developed a programmable high-voltage power supply that can achieve…

Instrumentation and Detectors · Physics 2020-01-29 P. Schury , M. Wada , H. Wollnik J-Y. Moon , T. Hashimoto , M. Rosenbusch

We present an improvement of short term frequency stability of the integrating sphere cold atom clock after increasing the intensities of clock signals and optimizing the feedback loop of the clock. A short term frequency stability of…

Atomic Physics · Physics 2016-08-03 P Liu , Y L Meng , J Y Wan , X M Wang , Y N Wang , L Xiao , H D Cheng , L Liu

Dielectric resonators are key components for many microwave and millimetre wave applications, including high-Q filters and frequency-determining elements for precision frequency synthesis. These often depend on the quality of the dielectric…

Cylindrical WGM resonators machined in high-quality sapphire monocrystal cooled down to liquid helium temperature offer exceptionally-high Q-factors in the microwave frequency domain. Such a resonator constitutes the core of an ultra-stable…

Instrumentation and Detectors · Physics 2023-10-25 Vincent Giordano , Samuel Margueron

Squeezing the quadrature noise of a harmonic oscillator used as a sensor can enhance its sensitivity in certain measurment schemes. The canonical approach, based on parametric modulation of the oscillation frequency, is usually limited to a…

We present analytical and numerical results on the joint dynamics of two coupled Duffing oscillators with nonlinearity of opposite signs (hardening and softening). In particular, we focus on the existence and stability of synchronized…

Adaptation and Self-Organizing Systems · Physics 2016-09-21 Damián H. Zanette

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov

Compact and robust frequency-stabilized laser sources are critical for a variety of fields that require stable frequency standards, including field spectroscopy, radio astronomy, microwave generation, and geophysical monitoring. In this…

Based on the principles of microwave circuit interferometry we have constructed a Reduced Noise Amplifier (RNA) with power spectral density of phase, as well as amplitude, fluctuations close to -170 dBc/Hz at 1 kHz offset. The RNA has been…

Instrumentation and Detectors · Physics 2020-03-23 Eugene N. Ivanov , Michael E. Tobar
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