Quantum analysis of a linear DC SQUID mechanical displacement detector
arXiv:0704.0457 · doi:10.1103/PhysRevB.76.014511
Abstract
We provide a quantum analysis of a DC SQUID mechanical displacement detector within the sub-critical Josephson current regime. A segment of the SQUID loop forms the mechanical resonator and motion of the latter is transduced inductively through changes in the flux threading the loop. Expressions are derived for the detector signal response and noise, which are used to evaluate the position and force detection sensitivity. We also investigate cooling of the mechanical resonator due to back reaction noise from the detector.
33 pages, 4 figures, published version
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Cited by in corpus (11)
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Cavity-Assisted Back Action Cooling of Mechanical Resonators
- 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
- Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
- Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
- Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector
- Cooling of a Micro-mechanical Resonator by the Back-action of Lorentz Force
- Displacement Detection with a Vibrating RF SQUID: Beating the Standard Linear Limit
- Probing the quantum coherence of a nanomechanical resonator using a superconducting qubit II: Implementation
- Noise in an SSET-resonator driven by an external field