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We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

Superconducting traveling-wave parametric amplifiers are a promising amplification technology suitable for applications in submillimeter astronomy. Their implementation relies on the use of Floquet transmission lines in order to create…

Applied Physics · Physics 2023-05-03 Javier Carrasco , Daniel Valenzuela , Claudio Falcón , Ricardo Finger , F. Patricio Mena

We demonstrate continuous tuning of the squeezing level generated in a double-ring optical parametric oscillator by externally controlling the coupling condition using electrically controlled integrated microheaters. We accomplish this by…

This paper investigates the dynamic behavior of a simplified single reed instrument model subject to a stochastic forcing of white noise type when one of its bifurcation parameters (the dimensionless blowing pressure) increases linearly…

Chaotic Dynamics · Physics 2026-02-02 Baptiste Bergeot , Christophe Vergez

We demonstrate a new feedback algorithm to cool a single neutral atom trapped inside a standing-wave optical cavity. The algorithm is based on parametric modulation of the confining potential at twice the natural oscillation frequency of…

Quantum Physics · Physics 2018-05-23 C. Sames , C. Hamsen , H. Chibani , P. A. Altin , T. Wilk , G. Rempe

We study squeezed quantum states of phonons, which allow the possibility of modulating the quantum fluctuations of atomic displacements below the zero-point quantum noise level of coherent phonon states. We calculate the corresponding…

Condensed Matter · Physics 2009-10-28 X. Hu , Franco Nori

The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over to under-damped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of over-damped systems…

Statistical Mechanics · Physics 2007-07-05 R. Di Leonardo , G. Ruocco , J. Leach , M. J. Padgett , A. J. Wright , J. M. Girkin , D. R. Burnham , D. McGloin

Time-dependent linear coupling between macroscopic quantum resonator modes generates both a parametric amplification also known as a {}"squeezing operation" and a beam splitter operation, analogous to quantum optical systems. These…

Mesoscale and Nanoscale Physics · Physics 2012-06-07 L. Tian , M. S. Allman , R. W. Simmonds

A promising venue for hybrid quantum computation involves the strong coupling between impurity spins and superconducting resonators. One strategy to control and enhance this coupling is to prepare the resonator in a non-classical state,…

Quantum Physics · Physics 2022-03-14 Inbar Shani , Emanuele G. Dalla Torre , Michael Stern

The widespread availability of quantum entanglement with photons, in the guise of two-mode squeezed states, can be attributed to the phenomenon of parametric down-conversion. A reinterpretation of this effect with macroscopic mechanical…

Mesoscale and Nanoscale Physics · Physics 2014-10-21 I. Mahboob , H. Okamoto , K. Onomitsu , H. Yamaguchi

In this paper, an attempt has been made to understand the parametric excitation of a periodic orbit of nonlinear oscillator which can be a limit cycle, center or a slowly decaying center-type oscillation. For this a delay model is…

Chaotic Dynamics · Physics 2020-11-03 Sandip Saha , Gautam Gangopadhyay , Sangeeta Kumari , Ranjit Kumar Upadhyay

Nonlinear forces allow motion of a mechanical oscillator to be squeezed below the zero-point motion. Of existing methods, mechanical parametric amplification is relatively accessible, but previously thought to be limited to 3dB of squeezing…

Quantum Physics · Physics 2011-11-17 Alex Szorkovszky , Andrew C. Doherty , Glen I. Harris , Warwick P. Bowen

We discuss the concept of characteristic squeezing modes applied to a travelling-wave optical parametric amplifier pumped by an ultrashort pulse. The characteristic modes undergo decoupled single-mode squeezing transformations, and…

Quantum Physics · Physics 2007-05-23 A. I. Lvovsky , W. Wasilewski , K. Banaszek

We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances…

Pattern Formation and Solitons · Physics 2015-05-13 C. M. Topaz , Anne J. Catlla

The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory. The…

Classical Analysis and ODEs · Mathematics 2008-12-31 Fatihcan M. Atay

Squeezing of quantum fluctuation plays an important role in fundamental quantum physics and has marked influence on ultrasensitive detection. We propose a scheme to generate and enhance the squeezing of mechanical mode by exposing the…

Quantum Physics · Physics 2019-02-27 Biao Xiong , Xun Li , Shi-Lei Chao , Ling Zhou

A closed-loop, lossy optomechanical system consisting of one optical and two degenerate mechanical resonators is computationally investigated. This system constitutes an elementary synthetic plaquette derived from the loop phase of the…

Quantum Physics · Physics 2024-06-27 Beyza Sütlüoğlu Ege , Ceyhun Bulutay

Varying one of the governing parameters of a dynamical system may lead to a critical transition, where the new stable state is undesirable. In some cases, there is only a limited range of the bifurcation parameter that corresponds to that…

Fluid Dynamics · Physics 2018-11-27 Giacomo Bonciolini , Nicolas Noiray

Because of the broken time-translation symmetry, in periodically driven vibrational systems fluctuations of different vibration components have different intensities. Fluctuations of one of the components are often squeezed, whereas…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 J. S. Huber , G. Rastelli , M. J. Seitner , J. Kölbl , W. Belzig , M. I. Dykman , E. M. Weig

In semiconductor materials, hot exciton cooling is the process by which highly excited carriers nonradiatively relax to form a band edge exciton. While cooling plays an important role in determining the thermal losses and quantum yield of a…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Dipti Jasrasaria , Eran Rabani