Feedback cooling of a nanomechanical resonator
arXiv:cond-mat/0302529 · doi:10.1103/PhysRevB.68.235328
Abstract
Cooled, low-loss nanomechanical resonators offer the prospect of directly observing the quantum dynamics of mesoscopic systems. However, the present state of the art requires cooling down to the milliKelvin regime in order to observe quantum effects. Here we present an active feedback strategy based on continuous observation of the resonator position for the purpose of obtaining these low temperatures. In addition, we apply this to an experimentally realizable configuration, where the position monitoring is carried out by a single-electron transistor. Our estimates indicate that with current technology this technique is likely to bring the required low temperatures within reach.
10 pages, RevTex4, 4 color eps figures
References in corpus (11)
- Phase noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion
- Feedback-control of quantum systems using continuous state-estimation
- Entanglement and decoherence of a micromechanical resonator via coupling to a Cooper box
- Quantum feedback control and classical control theory
- Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
- Selective quantum evolution of a qubit state due to continuous measurement
- Quantum Measurements Performed with a Single-Electron Transistor
- Quantum feedback control of a solid-state qubit
- Sensitivity of a micromechanical displacement detector based on the radio-frequency single-electron transistor
- Linear quantum trajectories: Applications to continuous projection measurements
- Intrinsic noise of a micro-mechanical displacement detector based on the radio-frequency single-electron transistor
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