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We generalize a proposal for detecting single phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a…

Quantum Physics · Physics 2009-11-10 D. H. Santamore , Hsi-Sheng Goan , G. J. Milburn , M. L. Roukes

The quantum dynamics of optomechanical systems was mostly studied for their fluctuations around classical steady states. We present a theoretical approach to determining the system observables of optomechanical systems as genuine quantum…

Quantum Physics · Physics 2012-06-21 Bing He

Optomechanical structures are well suited to study photon-phonon interactions, and they also turn out to be potential building blocks for phononic circuits and quantum computing. In phononic circuits, in which information is carried and…

Typical optomechanical systems involving optical cavities and mechanical oscillators rely on a coupling that varies linearly with the oscillator displacement. However, recently a coupling varying instead as the square of the mechanical…

Quantum Physics · Physics 2015-06-15 H. Shi , M. Bhattacharya

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…

Chaotic Dynamics · Physics 2017-08-02 Lin Zhang , Fengzhou Ji , Xu Zhang , Weiping Zhang

In this work a generic model of \emph{multi-photon optics} is studied. It is considered $m$ pump and $n$ subharmonic fields. It shows how the multi-photon system, with direct and homodyne detection, can be obtained rigorously in the context…

Probability · Mathematics 2014-04-08 Ricardo Castro Santis

We consider a generic optomechanical system, consisting of a driven optical cavity and a movable mirror attached to a cantilever. Systems of this kind (and analogues) have been realized in many recent experiments. It is well known that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Max Ludwig , Björn Kubala , Florian Marquardt

As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited,…

Quantum Physics · Physics 2014-01-28 Mankei Tsang

We theoretically study the occurrence of quantum jumps in the resonance fluorescence of a trapped atom. Here, the atom is laser cooled in a configuration of level such that the occurrence of a quantum jump is associated to a change of the…

Quantum Physics · Physics 2011-02-10 J. M. Torres , M. Bienert , S. Zippilli , G. Morigi

We theoretically study the dynamics of typical optomechanical systems, consisting of a passive optical mode and an active mechanical mode, in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes. By fully analytical treatments…

Quantum Physics · Physics 2021-12-01 Hai Xu , Deng-Gao Lai , Yi-Bing Qian , Bang-Pin Hou , Adam Miranowicz , Franco Nori

We explore the physics of optomechanical systems in which an optical cavity mode is coupled parametrically to the square of the position of a mechanical oscillator. We derive an effective master equation describing two-phonon cooling of the…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 A. Nunnenkamp , K. Borkje , J. G. E. Harris , S. M. Girvin

Adding or subtracting a single quantum of excitation to a thermal state of a bosonic system has the counter-intuitive effect of approximately doubling its mean occupation. We perform the first experimental demonstration of this effect…

In the field of cavity optomechanics, proposals for quantum nondemolition (QND) measurements of phonon number provide a promising avenue by which one can study the quantum nature of nanoscale mechanical resonators. Here, we investigate…

Quantum Physics · Physics 2018-10-10 B. D. Hauer , A. Metelmann , J. P. Davis

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…

Quantum Physics · Physics 2015-08-12 Wen-ju Gu , Zhen Yi , Li-hui Sun , Da-hai Xu

We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of conditional evolution of a quantum system making use of model of…

Quantum Physics · Physics 2024-07-18 Anita Dąbrowska , Marcin Marciniak

The interaction between a high-frequency dilational mode of a thin dielectric film and an optical cavity field is studied theoretically in the membrane-in-the-middle setup. A derivation from first principles leads to a multi-mode…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 K. Borkje , S. M. Girvin

We introduce an optomechanical scheme for the probabilistic preparation of single-phonon Fock states of mechanical modes based on photo-subtraction. The quality of the produced mechanical state is confirmed by a number of indicators,…

Quantum Physics · Physics 2016-12-21 M. Miskeen Khan , M. Javed Akram , M. Paternostro , F. Saif

We investigate a superconducting qubit coupled to a quantum acoustic system in a near resonant configuration. In our system we measure multiphonon transitions, whose spectrum reveals distinctly nonclassical features and thus provides direct…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Alpo Välimaa , Wayne Crump , Mikael Kervinen , Mika A. Sillanpää

We investigate a scheme that makes a quantum non-demolition measurement of the excitation level of a mesoscopic mechanical oscillator by utilizing the anharmonic coupling between two elastic beam bending modes. The non-linear coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. H. Santamore , A. C. Doherty , M. C. Cross

We study unconventional cavity optomechanics and the acoustic analogue of radiation pressure to show the possibility of nonlinear coherent control of phonons in the acoustic quantum vacuum. Specifically, we study systems where a quantized…

Quantum Physics · Physics 2019-12-25 Xin Wang , Wei Qin , Adam Miranowicz , Salvatore Savasta , Franco Nori