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Giant enhancement of the nonlinear response of a single crystal of Nb placed in a sweeping magnetic field has been experimentally observed. The rectified signal from Nb ($Tc=9.15$ K) has been measured by means of an inductive method as a…

Superconductivity · Physics 2015-06-24 M. I. Tsindlekht , I. Felner , G. Jung

Experimental investigations of the nonlinear properties of superconducting niobium coplanar waveguide resonators are reported. The nonlinearity due to a current dependent kinetic inductance of the center conductor is strong enough to…

Superconductivity · Physics 2009-11-13 Erik A. Tholen , Adem Ergul , Evelyn M. Doherty , Frank M. Weber , Fabien Gregis , David B. Haviland

Theory of the optical parametric amplification at high-frequency pumping in crystals with a regular space modulation of the sign of nonlinear coupling coefficient of interacting waves is developed. By applying the matrix method, the theory…

Optics · Physics 2007-05-23 E. V. Makeev , A. S. Chirkin

Experimental and numerical investigation of single-beam and pump-probe interaction with a resonantly absorbing dense extended medium under strong and weak field-matter coupling is presented. Significant probe beam amplification and conical…

We investigate parametric down-conversion in a hexagonally poled nonlinear photonic crystal, pumped by a dual pump with a transverse modulation that matches the periodicity of the nonlinear grating. A peculiar feature of this resonant…

Quantum Physics · Physics 2019-10-23 E. Brambilla , A. Gatti

A hallmark of mechanical resonators made from a single nanotube is that the resonance frequency can be widely tuned. Here, we take advantage of this property to realize parametric amplification and self-oscillation. The gain of the…

Mesoscale and Nanoscale Physics · Physics 2012-02-01 Alexander Eichler , Julien Chaste , Joel Moser , Adrian Bachtold

Parametric amplification is widely used in nanoelectro-mechanical systems to enhance the transduced mechanical signals. Although parametric amplification has been studied in different mechanical resonator systems, the nonlinear dynamics…

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Donghao Li , Steven W. Shaw

The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

We report on the observation of broadband (40 THz) bright twin beams through high-gain parametric down-conversion in an aperiodically poled lithium niobate crystal. The output photon number is shown to scale exponentially with the pump…

A systematic study of the effects of polarization mode dispersion on broad-band and narrow-band, single pump, fiber parametric amplifiers is realized through numerical solutions of the equations governing the interaction. The nonlinear…

Optics · Physics 2015-05-14 Marco Santagiustina , Luca Schenato

We study parametric amplification in nonlinear left-handed transmission lines, which serve as model systems for nonlinear negative index metamaterials. We experimentally demonstrate amplification of a weak pump signal in three regimes: with…

Optics · Physics 2009-03-25 David A. Powell , Ilya V. Shadrivov , Yuri S. Kivshar

We report on measurements performed at low temperatures on a nanoelectromechanical system (NEMS) under (capacitive) parametric pumping. The excitations and detection schemes are purely electrical, and enable in the present experiment the…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 E. Collin , T. Moutonet , J. -S. Heron , O. Bourgeois , Yu. M. Bunkov , H. Godfrin

We experimentally investigate the parametric down-conversion process in a nonlinear bulk crystal, driven by two non-collinear pump modes. The experiment shows the emergence of bright hot-spots in modes shared by the two pumps, in analogy…

Quantum Physics · Physics 2020-12-30 Ottavia Jedrkiewicz , Erica Invernizzi , Enrico Brambilla , Alessandra Gatti

We derived a general and exact expression of current for quantum parametric charge pumps in the non-adiabatic regime at finite pumping frequency and finite driving amplitude. The non-perturbative theory predicts a remarkable plateau…

Condensed Matter · Physics 2009-11-07 Baigeng Wang , Jian Wang , Hong Guo

We report on parametric amplification in dynamic radiation force produced by a bichromatic acoustic beam in a fluid. To explain this effect we develop a theory taking into account the nonlinearity of the fluid. The theory is validated…

Fluid Dynamics · Physics 2007-05-23 Glauber T. Silva , Shigao Chen , Leonardo P. Viana

We present a formalism for modelling parametric amplification by resonators subject to rate-limited nonlinearity of mixed reactive/dissipative character, with particular relevance to superconducting devices. The non-linearity is assumed to…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Christopher N. Thomas , Stafford Withington , Songyuan Zhao

Optical quadratic nonlinearity is ultrafast in nature, while parametric interaction usually manifests only the broadband characteristic. Enormous progress has been made toward broadband phase-matching for parametric amplification and wide…

We derive analytic solutions for Heisenberg evolution under the trilinear parametric Hamiltonian which are correct to second order in the interaction strength but are valid for all pump amplitudes. The solutions allow pump depletion effects…

Quantum Physics · Physics 2023-02-16 Wanli Xing , T. C. Ralph

Nonlinear optics experiments measuring phase shifts induced in a weak probe pulse by a strong pump pulse must account for coherent effects that only occur when the pump and probe pulses are temporally overlapped. It is well known that a…

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