Journal ArticleDOI
Spectral distribution of nonlinear oscillators with nonlinear friction due to a medium
Mark Dykman,M. A. Krivoglaz +1 more
TLDR
In this article, the analog of a quantum kinetic equation for the description of time correlation functions of singled out nonlinear oscillators interacting with a medium (e.g., local or quasi-local vibrations in crystals) is obtained.Abstract:
The analog of a quantum kinetic equation for the description of time correlation functions of singled out nonlinear oscillators interacting with a medium (e.g. local or quasi-local vibrations in crystals) is obtained. Both the frictions, the linear and nonlinear one (the latter is due to decays with participation of two quanta of singled out oscillators), were taken into account. Spectral distributions of the correlation functions of the coordinates are found as well as those of occupation numbers. The essentially non-Lorentzian shape of the spectral distribution and its dependence on interaction parameters and temperature are analysed.
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Citations
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Journal ArticleDOI
Cooling and squeezing via quadratic optomechanical coupling
TL;DR: In this paper, the authors derived an effective master equation describing two-phon cooling of the mechanical oscillator and demonstrated how to achieve mechanical squeezing by driving the cavity with two beams.
Journal ArticleDOI
Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions
Tony E. Lee,Hossein Sadeghpour +1 more
TL;DR: In this article, the authors investigate how quantum fluctuations affect phase locking of one or many van der Pol oscillators and find that phase locking is much more robust in the quantum model than in the equivalent classical model.
Journal ArticleDOI
Parametric amplification and self-oscillation in a nanotube mechanical resonator.
TL;DR: The corresponding damping rate is lower than the one obtained from the line shape of the resonance (without pumping), supporting the recently reported scenario that describes damping in nanotube resonators by a nonlinear force.
Journal ArticleDOI
Fluctuations in nonlinear systems near bifurcations corresponding to the appearance of new stable states
Mark Dykman,M. A. Krivoglaz +1 more
TL;DR: In this paper, the authors considered the effect of outer δ-correlated random forces on nonlinear multidimensional dynamical systems and derived the exponent and the preexponential factor for the probability of the transition from the metastable equilibrium state of the system.
Journal ArticleDOI
Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response
TL;DR: In this paper, the coefficients of conservative and dissipative nonlinearities of a single-mode vibration of symmetric micromechanical resonators were derived from the ringdown response.
References
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Journal ArticleDOI
Brownian Motion of a Quantum Oscillator
TL;DR: In this paper, an action principle technique for the direct computation of expectation values is described and illustrated in detail by a special physical example, the effect on an oscillator of another physical system, which has the advantage of combining immediate physical applicability (e.g., resistive damping or maser amplification of a single electromagnetic cavity mode) with a significant idealization of the complex problems encountered in many particle and relativistic fieldtheory.
Journal ArticleDOI
Coherence Properties of Optical Fields
Leonard Mandel,Emil Wolf +1 more
TL;DR: In this paper, a review of coherence properties of electromagnetic fields and their measurements, with special emphasis on the optical region of the spectrum, is presented, based on both the classical and quantum theories.
The Coherence Properties of Optical Fields
TL;DR: In this paper, a review of coherence properties of electromagnetic fields and their measurements, with special emphasis on the optical region of the spectrum, is presented, based on both the classical and quantum theories.
Journal ArticleDOI
Quantum Theory of an Optical Maser. I. General Theory
Marlan O. Scully,Willis E. Lamb +1 more
TL;DR: In this article, a quantum statistical analysis of an optical maser is presented in generalization of the recent semiclassical theory of Lamb, which describes the irreversible dynamics of the laser radiation in all regions of operation.
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