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Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

Optomechanics is concerned with the use of light to control mechanical objects. As a field, it has been hugely successful in the production of precise and novel sensors, the development of low-dissipation nanomechanical devices, and the…

Optics · Physics 2020-01-23 James Millen , Tania S. Monteiro , Robert Pettit , A. Nick Vamivakas

The asymptotic behavior of a nonlinear oscillator subject to a multiplicative Ornstein-Uhlenbeck noise is investigated. When the dynamics is expressed in terms of energy-angle coordinates, it is observed that the angle is a fast variable as…

Statistical Mechanics · Physics 2014-12-19 Kirone Mallick , Philippe Marcq

Spin-torque oscillators are strong candidates as nano-scale microwave generators and detectors. However, because of large amplitude-phase coupling (non-linearity), phase noise is enhanced over other linear auto-oscillators. One way to…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Muftah Al-Mahdawi , Yusuke Toda , Yohei Shiokawa , Masashi Sahashi

The success of nonlinear noise reduction applied to a single channel recording of human voice is measured in terms of the recognition rate of a commercial speech recognition program in comparison to the optimal linear filter. The overall…

Data Analysis, Statistics and Probability · Physics 2007-06-20 Krzysztof Urbanowicz , Holger Kantz

We show the existence of internal stochastic resonance in a microscopic stochastic model for the oscillating CO oxidation on single crystal surfaces. This stochastic resonance arises directly from the elementary reaction steps of the system…

Condensed Matter · Physics 2007-05-23 O. Kortlüke , V. N. Kuzovkov , W. von Niessen

We propose a method to analytically show the possibility for the appearance of a maximum in the signal-to-noise ratio in nonpotential systems. We apply our results to the FitzHugh-Nagumo model under a periodic external forcing, showing that…

Condensed Matter · Physics 2009-10-31 T. Alarcon , A. Perez-Madrid , J. M. Rubi

Ultrasound sensors have wide applications across science and technology. However, improved sensitivity is required for both miniaturisation and increased spatial resolution. Here, we introduce cavity optomechanical ultrasound sensing, where…

Quantum Physics · Physics 2019-01-17 Sahar Basiri-Esfahani , Ardalan Armin , Stefan Forstner , Warwick P. Bowen

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

We perform classical molecular dynamics simulations to investigate the enhancement of the mass sensitivity and resonant frequency of graphene nanomechanical resonators that is achieved by driving them into the nonlinear oscillation regime.…

Mesoscale and Nanoscale Physics · Physics 2012-11-05 Jin-Wu Jiang , Harold S. Park , Timon Rabczuk

We study noise induced switching in systems far from equilibrium by using an underdamped micromechanical torsional oscillator driven into the nonlinear regime. Within a certain range of driving frequencies, the oscillator possesses two…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 C. Stambaugh , H. B. Chan

Stochastic resonance (SR) is a phenomenon in which signal to noise (SN) ratio gets improved by noise addition rather than removal as envisaged classically. SR was first claimed in climatology a few decades ago and then in other disciplines…

Geophysics · Physics 2008-11-03 Mensur Omerbashich

We propose to use the resonant enhancement of the parametric instability in an optomechanical system of two optical modes coupled to a mechanical oscillator to prepare mechanical states with sub-Poissonian phonon statistics. Strong single…

Quantum Physics · Physics 2015-06-17 Niels Lörch , Klemens Hammerer

Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the…

Emerging Technologies · Computer Science 2021-01-12 Jaykumar Vaidya , Mohammad Khairul Bashar , Nikhil Shukla

Self-sustained vibrations in systems ranging from lasers to clocks to biological systems are often associated with the coefficient of linear friction, which relates the friction force to the velocity, becoming negative [1,2]. The runaway of…

Quantum Physics · Physics 2019-09-04 X. Dong , M. I. Dykman , H. B. Chan

Detection of the weakest forces in nature and the search for new physics are aided by increasingly sensitive measurements of the motion of mechanical oscillators. However, the attainable knowledge of an oscillator's motion is limited by…

We have observed nonlinear transduction of the thermomechanical motion of a nanomechanical resonator when detected as laser transmission through a sideband unresolved optomechanical cavity. Nonlinear detection mechanisms are of considerable…

Mesoscale and Nanoscale Physics · Physics 2014-12-25 C. Doolin , B. D. Hauer , P. H. Kim , A. J. R. MacDonald , H. Ramp , J. P. Davis

The nonlinear interactions between flexural and torsional modes of a microcantilever are experimentally studied. The coupling is demonstrated by measuring the frequency response of one mode, which is sensitive to the motion of another…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 H. J. R. Westra , H. S. J. van der Zant , W. J. Venstra

Autonomous oscillators, such as clocks and lasers, produce periodic signals \emph{without} any external frequency reference. In order to sustain stable periodic motions, there needs to be external energy supply as well as nonlinearity built…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Changyao Chen , Damián H. Zanette , Jeffrey R. Guest , David A. Czaplewski , Daniel López

The success of quantum noise sensing methods depends on the optimal interplay between properly designed control pulses and statistically informative measurement data on a specific quantum-probe observable. To enhance the information content…

Quantum Physics · Physics 2020-03-27 Nicola Dalla Pozza , Stefano Gherardini , Matthias M. Müller , Filippo Caruso
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