Displacement Detection with a Vibrating RF SQUID: Beating the Standard Linear Limit
arXiv:0705.0206 · doi:10.1103/PhysRevE.76.026217
Abstract
We study a novel configuration for displacement detection consisting of a nanomechanical resonator coupled to both, a radio frequency superconducting interference device (RF SQUID) and to a superconducting stripline resonator. We employ an adiabatic approximation and rotating wave approximation and calculate the displacement sensitivity. We study the performance of such a displacement detector when the stripline resonator is driven into a region of nonlinear oscillations. In this region the system exhibits noise squeezing in the output signal when homodyne detection is employed for readout. We show that displacement sensitivity of the device in this region may exceed the upper bound imposed upon the sensitivity when operating in the linear region. On the other hand, we find that the high displacement sensitivity is accompanied by a slowing down of the response of the system, resulting in a limited bandwidth.
References in corpus (20)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Ultimate limits to inertial mass sensing based upon nanoelectromechanical systems
- An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
- Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss
- Mass Detection with Nonlinear Nanomechanical Resonator
- Noise Squeezing in a Nanomechanical Duffing Resonator
- A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
- High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
- A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
- Controllable Coupling between Flux Qubit and Nanomechanical Resonator by Magnetic Field
- Nanomechanical resonators operating as charge detectors in the nonlinear regime
- Supernarrow Spectral Peaks and High Frequency Stochastic Resonance in Systems with Coexisting Periodic Attractors
- Quantum analysis of a linear DC SQUID mechanical displacement detector
- Decoherence and Recoherence in a Vibrating RF SQUID
- High intermodulation gain in a micromechanical Duffing resonator
- Readout methods and devices for Josephson-junction-based solid-state qubits
- Anharmonic effects on a phonon number measurement of a quantum mesoscopic mechanical oscillator
- Fluctuation-enhanced frequency mixing in a nonlinear micromechanical oscillator
- Nonlinear resonant behavior of the dispersive readout scheme for a superconducting flux qubit
- Dephasing due to Intermode Coupling in Superconducting Stripline Resonators
Cited by in corpus (16)
- Enhancing optomechanical coupling via the Josephson effect
- Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control
- Prospects for cooling nanomechanical motion by coupling to a superconducting microwave resonator
- Coupling carbon nanotube mechanics to a superconducting circuit
- Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
- Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector
- Sideband-resolved resonator electromechanics on the single-photon level based on a nonlinear Josephson inductance
- Transition from weak to strong measurements by nonlinear quantum feedback control
- Self-excited oscillation and synchronization of an on-fiber optomechanical cavity
- Probing the quantum coherence of a nanomechanical resonator using a superconducting qubit II: Implementation
- Mechanical frequency control in inductively coupled electromechanical systems
- Intermode Dephasing in a Superconducting Stripline Resonator - Supplementary Information
- Detection of Tiny Mechanical Motion by Means of the Ratchet Effect
- Exploring the nonlinear regime of light-matter interaction using electronic spins in diamond
- On-Fiber Optomechanical Cavity
- The Rayleigh-Lorentz Invariant and Optimal Adiabatic Qubit-Information Detection for Superconducting Qubit Resonators