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Strong nonlinear interactions between quantized excitations are an important resource for quantum technologies based on bosonic oscillator modes. However, most electromagnetic and mechanical nonlinearities arising from intrinsic material…

Using an optical probe along with single photon detection we have performed effective phonon counting measurements of the acoustic emission and absorption processes in a nanomechanical resonator. Applying these measurements in a Hanbury…

The measurement of a quantum system is often performed by encoding its state in a single observable of a light field. The measurement efficiency of this observable can be reduced by loss or excess noise on the way to the detector. Even a…

We report nonlinear behavior in the motion of driven nanowire cantilevers. The nonlinearity can be described by the Duffing equation and is used to demonstrate mechanical mixing of two distinct excitation frequencies. Furthermore, we…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 F. R. Braakman , D. Cadeddu , G. Tütüncüoglu , F. Matteini , D. Rüffer , A. Fontcuberta i Morral , M. Poggio

Nanoelectromechanical resonators provide an ideal platform for investigating the interplay between electron transport and nonlinear mechanical motion. Externally driven suspended carbon nanotubes, containing an electrostatically defined…

We consider a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Charles P. Meaney , Ross H. McKenzie , G. J. Milburn

How can we perform a metrological task if only limited control over a quantum system is given? Here, we present systematic methods for conducting nonlinear quantum metrology in scenarios lacking a common reference frame. Our approach…

Quantum Physics · Physics 2026-04-20 Satoya Imai , Otfried Gühne , Géza Tóth

With the help of quantum entanglement, quantum dense metrology (QDM) is a technique that can perform the joint estimates of two conjugate quantities such as phase and amplitude modulations of an optical field with an accuracy beating the…

Quantum Physics · Physics 2022-02-02 Wei Du , J. F. Chen , Z. Y. Ou , Weiping Zhang

We study the sensitivity of a Mach-Zehnder interferometer that contains in addition to the phase shifter a non-linear element. By including both elements in a cavity or a loop that the light transverses many times, a non-linear kicked…

Quantum Physics · Physics 2022-08-31 Sabrina Müller , Daniel Braun

Magnetic torque is used to actuate nano-torsional resonators, which are fabricated by focused-ion-beam milling of permalloy coated silicon nitride membranes. Optical interferometry is used to measure the mechanical response of two torsion…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 J. P. Davis , D. Vick , D. C. Fortin , J. A. J. Burgess , W. K. Hiebert , M. R. Freeman

We describe the realization of multimode phononic correlations that arise from nonlinear interactions in a mechanical nondegenerate parametric amplifier. The nature of these correlations differs qualitatively depending on the strength of…

Quantum Physics · Physics 2015-07-17 S. Chakram , Y. S. Patil , M. Vengalattore

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…

Based on a continuum mechanical model for single-layer graphene we propose and analyze a microscopic mechanism for dissipation in nanoelectromechanical graphene resonators. We find that coupling between flexural modes and in-plane phonons…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 Alexander Croy , Daniel Midtvedt , Andreas Isacsson , Jari M. Kinaret

We have performed spectroscopic measurements of a superconducting qubit dispersively coupled to a nonlinear resonator driven by a pump microwave field. Measurements of the qubit frequency shift provide a sensitive probe of the intracavity…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 F. R. Ong , M. Boissonneault , F. Mallet , A. Palacios-Laloy , A. Dewes , A. C. Doherty , A. Blais , P. Bertet , D. Vion , D. Esteve

Carbon nanotubes and graphene allow fabricating outstanding nanomechanical resonators. They hold promise for various scientific and technological applications, including sensing of mass, force, and charge, as well as the study of quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Eichler , J. Moser , J. Chaste , M. Zdrojek , I. Wilson-Rae , A. Bachtold

In this paper, we propose a nonlinear interferometer with feedback loops and explore its efficiency for phase estimation. We analyse two feedback schemes, one where both modes of the interferometer are fed-back into the device and another…

Quantum Physics · Physics 2025-07-24 Shivani Singh , Craig S. Hamilton , Igor Jex

We propose a technique to couple the position operator of a nano mechanical resonator to a SQUID device by modulating its magnetic flux bias. By tuning the magnetic field properly, either linear or quadratic couplings can be realized, with…

Quantum Physics · Physics 2015-06-26 Xingxiang Zhou , Ari Mizel

Nanomechanical resonators with ultra-high quality factors have become a central element in fundamental research, enabling measurements below the standard quantum limit and the preparation of long-lived quantum states. Here, I propose that…

Applied Physics · Physics 2022-09-13 Alexander Eichler

Interferometers provide a highly sensitive means to investigate and exploit the coherence properties of light in metrology applications. However, interferometers come in various forms and exploit different properties of the optical states…

We present a scheme for tuning and controlling nano mechanical resonators by subjecting them to electrostatic gradient fields, provided by nearby tip electrodes. We show that this approach enables access to a novel regime of optomechanics,…

Quantum Physics · Physics 2014-03-06 S. Rips , I. Wilson-Rae , M. J. Hartmann