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We investigate the phenomenon of parametric instability in discrete models of spatiotemporally modulated materials. These materials are celebrated in part because they exhibit nonreciprocal transmission characteristics. However, parametric…

Materials Science · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

In this paper, we study the stability of a simple model of a Hyperloop vehicle resulting from the interaction between electromagnetic and aeroelastic forces for both constant and periodically varying coefficients (i.e., parametric…

We study mechanical amplification and noise squeezing in a nonlinear nanomechanical resonator driven by an intense pump near its dynamical bifurcation point, namely, the onset of Duffing bistability. Phase sensitive amplification is…

Other Condensed Matter · Physics 2013-05-29 R. Almog , S. Zaitsev , O. Shtempluck , E. Buks

We consider the amplification of bosonic interactions through parametric control that implements squeezing along orthogonal quadratures. We show that bosonic interactions described by certain classes of quadratic and quartic Hamiltonians…

Quantum Physics · Physics 2026-02-19 Ankit Tiwari , Cecilia Cormick , Christian Arenz

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

We analyze squeezing of the nanoresonator state produced by periodic measurement of position by a quantum point contact or a single-electron transistor. The mechanism of squeezing is the stroboscopic quantum nondemolition measurement…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rusko Ruskov , Keith Schwab , Alexander N. Korotkov

The present paper examines the active control of parametric resonance in modified Rayleigh-Duffing oscillator. We used the method of averaging to obtain steady-state solutions. We have found the critical value of the parametrical amplitude…

Fluid Dynamics · Physics 2016-05-18 C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

Astounding properties of biological sensors can often be mapped onto a dynamical system in the vicinity a bifurcation. For mammalian hearing, a Hopf bifurcation description has been shown to work across a whole range of scales, from…

Neurons and Cognition · Quantitative Biology 2015-10-13 Florian Gomez , Tom Lorimer , Ruedi Stoop

We report on the use of parametric excitation to coherently manipulate the collective spin state of an atomic vapour at room temperature. Signatures of the parametric excitation are detected in the ground-state spin evolution. These include…

Atomic Physics · Physics 2019-07-24 V. Guarrera , R. Gartman , G. Bevilacqua , G. Barontini , W. Chalupczak

We theoretically investigate the mechanism of two-mode quadrature squeezing in regime of four-wave mixing in a \Lambda-scheme of three-level atoms embedded in a thermal reservoir. We demonstrate that the process of nonlinear transfer of…

Optics · Physics 2017-01-11 Maria Erukhimova , Mikhail Tokman

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay either…

Chaotic Dynamics · Physics 2015-06-23 V. Semenov , A. Feoktistov , T. Vadivasova , E. Schöll , A. Zakharova

Quantum technologies and experiments often require preparing systems in low-temperature states. Here, we investigate cooling schemes using feedback protocols modeled with a Quantum Fokker-Planck Master Equation (QFPME) recently derived by…

Employing the quantum Hamiltonian describing the interaction of two-mode light (signal-idler modes) generated by a nondegenerate parametric oscillator (NDPO) with two uncorrelated squeezed vacuum reservoirs (USVR), we derive the master…

Quantum Physics · Physics 2007-05-23 Alem Mebrahtu

We study parametric resonance of interacting waves having the same wave vector and frequency. In addition to the well-known period-doubling instability we show that under certain conditions the instability is caused by a Hopf bifurcation…

patt-sol · Physics 2009-10-30 Franz-Josef Elmer

We report high-resolution measurements of thermal fluctuations in microwave and mechanical resonators using a dual-channel readout system. The latter comprises a low-noise amplifier, an I/Q-mixer, and a cross-correlator. We discovered that,…

Instrumentation and Detectors · Physics 2026-01-21 Michael T Hatzon , Eugene N Ivanov , Aaron Quiskamp , Michael E Tobar

We study cooling and squeezing the fluctuations of a nanomechanical beam using quantum feedback control. In our model, the nanomechanical beam is coupled to a transmission line resonator via a superconducting quantum interference device…

Quantum Physics · Physics 2009-09-30 Jing Zhang , Yu-xi Liu , Franco Nori

We have designed a system to stabilize the gain of a submillimeter heterodyne receiver against thermal fluctuations of the mixing element. In the most sensitive heterodyne receivers, the mixer is usually cooled to 4 K using a closed-cycle…

The bifurcation diagram of a model stochastic differential equation with delayed feedback is presented. We are motivated by recent research on stochastic effects in models of transcriptional gene regulation. We start from the normal form…

Statistical Mechanics · Physics 2015-05-14 Mathieu Gaudreault , Francoise Lepine , Jorge Vinals

We apply adaptive feedback for the partial refrigeration of a mechanical resonator, i.e. with the aim to simultaneously cool the classical thermal motion of more than one vibrational degree of freedom. The feedback is obtained from a neural…

Quantum Physics · Physics 2020-03-09 Christian Sommer , Muhammad Asjad , Claudiu Genes

We demonstrate the generation of broad-band continuous-wave optical squeezing down to 200Hz using a below threshold optical parametric oscillator (OPO). The squeezed state phase was controlled using a noise locking technique. We show that…

Quantum Physics · Physics 2009-11-10 K. McKenzie , N. Grosse , W. P. Bowen , S. E. Whitcomb , M. B. Gray , D. E. McClelland , P. K. Lam