Quantum limited amplification with a nonlinear cavity detector
arXiv:1011.5938 · doi:10.1103/PhysRevA.83.033803
Abstract
We consider the quantum measurement properties of a driven cavity with a Kerr-type nonlinearity which is used to amplify a dispersively coupled input signal. Focusing on an operating regime which is near a bifurcation point, we derive simple asymptotic expressions describing the cavity's noise and response. We show that the cavity's backaction and imprecision noise allow for quantum limited linear amplification and position detection only if one is able to utilize the sizeable correlations between these quantities. This is possible when one amplifies a non-resonant signal, but is not possible in QND qubit detection. We also consider the possibility of using the nonlinear cavity's backaction for cooling a mechanical mode.
arXiv comment15 pages, 6 figures
References in corpus (23)
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Introduction to Quantum Noise, Measurement and Amplification
- Coupling Superconducting Qubits via a Cavity Bus
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
- Nanomechanical motion measured with precision beyond the standard quantum limit
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Resolved-sideband cooling and measurement of a micromechanical oscillator close to the quantum limit
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
- Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity
- Quantum noise in second generation, signal-recycled laser interferometric gravitational-wave detectors
- Back-action Evading Measurements of Nanomechanical Motion
- Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator
- Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss
- Quantum-Limited Measurement and Information in Mesoscopic Detectors
- High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
- Supernarrow Spectral Peaks and High Frequency Stochastic Resonance in Systems with Coexisting Periodic Attractors
- Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector
- Quantum noise in a nano mechanical Duffing resonator
- Relaxation of a qubit measured by a driven Duffing oscillator
Cited by in corpus (31)
- Dispersive magnetometry with a quantum limited SQUID parametric amplifier
- Broadband parametric amplification with impedance engineering: Beyond the gain-bandwidth product
- Optomechanical position detection enhanced by de-amplification using intracavity squeezing
- Circuit QED with a Nonlinear Resonator : ac-Stark Shift and Dephasing
- Effect of higher-order nonlinearities on amplification and squeezing in Josephson parametric amplifiers
- Improving broadband displacement detection with quantum correlations
- Quantum heating of a parametrically modulated oscillator: spectral signatures
- Kerr enhanced backaction cooling in magnetomechanics
- Backaction of a driven nonlinear resonator on a superconducting qubit
- Quantum Heating of a nonlinear resonator probed by a superconducting qubit
- A dispersive nanoSQUID magnetometer for ultra-low noise, high bandwidth flux detection
- Parametrics of electromagnetic searches for axion dark matter
- Weak Qubit Measurement with a Nonlinear Cavity: Beyond Perturbation Theory
- Four Wave Mixing from Fe3+ Spins in Sapphire
- Josephson parametric reflection amplifier with integrated directionality
- A Proposal for Experimental Detection of Amplitude nth-Power Squeezing
- Superconducting qubit as a probe of quantum fluctuations in a nonlinear resonator
- Quantum limits on noise for a class of nonlinear amplifiers
- Driving-induced resonance narrowing in a strongly coupled cavity-qubit system
- Superharmonic Resonances in a Strongly Coupled Cavity-Atom System
- Kerr enhanced optomechanical cooling in the unresolved sideband regime
- Quantum metrology of low frequency electromagnetic modes with frequency upconverters
- Fast and Ultrasensitive Electrometer Operating at the Single-Photon Level
- Hybrid phase-space--Fock-space approach to evolution of a driven nonlinear resonator
- Optomechanical Backaction in the Bistable Regime
- Dynamics of an ultra-strongly-coupled system interacting with a driven nonlinear resonator
- Charge sensitivity of a cavity-embedded Cooper pair transistor limited by single-photon shot noise
- Phase diffusion and noise temperature of a microwave amplifier based on single unshunted Josephson junction
- Large gain quantum-limited qubit measurement using a two-mode nonlinear cavity
- Approaching quantum-limited amplification with large gain catalyzed by hybrid nonlinear media in cavity optomechanics
- Enhanced Cavity Optomechanics with Quantum-well Exciton Polaritons