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.
15 pages, 6 figures
References in corpus (12)
- 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
- 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
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator
- Quantum-Limited Measurement and Information in Mesoscopic Detectors
- High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
- Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector
- Quantum noise in a nano mechanical Duffing resonator
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