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The strength of optomechanical interactions in a cavity optomechanical system can be quantified by a vacuum coupling rate $\vcr$ analogous to cavity quantum electrodynamics. This single figure of merit removes the ambiguity in the…

Nanoparticles levitated in an optical trap provide a versatile platform to study mechanical oscillators in a controlled environment with tuneable parameters. Recently, it has become possible to couple two of these optomechanical…

An optomechanical oscillator undergoes a Hopf bifurcation that connects two dynamical regimes with different information-processing capabilities: thermal Brownian motion and coherent self-sustained oscillation. Below threshold, the…

We study the spectrum of single-photon emission and scattering in a mixed optomechanical model which consists of both linear and quadratic optomechanical interactions. The spectra are calculated based on the exact long-time solutions of the…

量子物理 · 物理学 2020-09-15 Yue-Hui Zhou , Fen Zou , Xi-Ming Fang , Jin-Feng Huang , Jie-Qiao Liao

We analyze rate-dependent tipping in a fast/slow system with an equilibrium near the fold of a critical manifiold. We find a Hopf bifurcation as the rate parameter increases in the reduced co-moving system. This implies the growth of a…

动力系统 · 数学 2017-04-25 Jonathan Hahn

Optomechanics experiments are rapidly approaching the regime where the radiation pressure of a single photon displaces the mechanical oscillator by more than its zero-point uncertainty. We show that in this limit the power spectrum has…

介观与纳米尺度物理 · 物理学 2011-08-04 A. Nunnenkamp , K. Borkje , S. M. Girvin

In the paper we study the nonlinear mechanical cooling processes in the intrinsic quadratically optomechanical coupling system without linearizing the optomechanical interaction. We apply the scattering theory to calculate the transition…

量子物理 · 物理学 2015-08-12 Wen-ju Gu , Zhen Yi , Li-hui Sun , Da-hai Xu

We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter $\epsilon$ uncouples the system at $\epsilon=0$. Using a normal form for $N=2$ identical systems undergoing Hopf…

动力系统 · 数学 2019-08-08 A. Pérez-Cervera , P. Ashwin , G. Huguet , T. M. Seara , J. Rankin

We experimentally study an optomechanical cavity consisting of an oscillating mechanical resonator embedded in a superconducting microwave transmission line cavity. Tunable optomechanical coupling between the mechanical resonator and the…

介观与纳米尺度物理 · 物理学 2014-09-17 Oren Suchoi , Lior Ella , Oleg Shtempluk , Eyal Buks

A direct photon-phonon parametric effect of the quadratic coupling on the mean-field dynamics of an optomechanical resonator in the large-scale-movement regime is found and investigated. Under a weak pumping power, the mechanical resonator…

混沌动力学 · 物理学 2017-08-02 Lin Zhang , Fengzhou Ji , Xu Zhang , Weiping Zhang

We present a detailed theoretical analysis of a weakly driven multimode optomechanical system, in which two optical modes are strongly and near-resonantly coupled to a single mechanical mode via a three-wave mixing interaction. We calculate…

量子物理 · 物理学 2013-04-12 P. Kómár , S. D. Bennett , K. Stannigel , S. J. M. Habraken , P. Rabl , P. Zoller , M. D. Lukin

Single atoms coupled to a cavity offer unique opportunities as quantum optomechanical devices because of their small mass and strong interaction with light. A particular regime of interest in optomechanics is that of "single-photon strong…

量子物理 · 物理学 2022-04-01 Javier Argüello-Luengo , Darrick E. Chang

A pertinent question in cavity optomechanics is whether reaching the regime of large single-photon cooperativity, where the single-photon coupling rate exceeds the geometric mean of the cavity and mechanical decay rates, can enable any new…

量子物理 · 物理学 2020-05-19 Kjetil Borkje

Systems of ODEs coupled with the topology of a closed ring are common models in biology, robotics, electrical engineering, and many other areas of science. When the component systems and couplings are identical, the system has a cyclic…

动力系统 · 数学 2024-03-26 Ian Stewart

We propose a new hybrid modelling approach that combines a mechanistic model with a machine-learnt model to predict the limit cycle oscillations of physical systems with a Hopf bifurcation. The mechanistic model is an ordinary differential…

动力系统 · 数学 2023-03-01 K. H. Lee , D. A. W. Barton , L. Renson

Cavity optomechanics, where photons are coupled to mechanical motion, provides the tools to control mechanical motion near the fundamental quantum limits. Reaching single-photon strong coupling would allow to prepare the mechanical…

量子物理 · 物理学 2023-04-26 D. Zoepfl , M. L. Juan , C. M. F. Schneider , G. Kirchmair

Cavity-electromechanical systems are extensively used for sensing and controlling the vibrations of mechanical resonators down to their quantum limit. The nonlinear radiation-pressure interaction in these systems could result in an unstable…

量子物理 · 物理学 2024-09-02 Tanmoy Bera , Mridul Kandpal , G. S. Agarwal , Vibhor Singh

We present an exact analytical solution of the two-photon scattering in a cavity optomechanical system. This is achieved by solving the quantum dynamics of the total system, including the optomechanical cavity and the cavity-field…

量子物理 · 物理学 2013-08-30 Jie-Qiao Liao , C. K. Law

In this paper we discuss how red-sideband cooling is modified in the single-photon strong-coupling regime of cavity optomechanics where the radiation pressure of a single photon displaces the mechanical oscillator by more than its…

介观与纳米尺度物理 · 物理学 2012-06-19 A. Nunnenkamp , K. Borkje , S. M. Girvin

We describe the design, fabrication, and characterization of a one-dimensional silicon photonic crystal cavity in which a central slot is used to enhance the overlap between highly localized optical and mechanical modes. The optical mode…

光学 · 物理学 2016-06-29 Katharina Schneider , Paul Seidler
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