Fano-like Anti-resonances in Nanomechanical and Optomechanical Systems
arXiv:0808.1169 · doi:10.1103/PhysRevLett.102.067202
Abstract
We study a resonator coupled to a generic detector and calculate the noise spectra of the two sub-systems. We describe the coupled system by a closed, linear, set of Langevin equations and derive a general form for the finite frequency noise of both the resonator and the detector. The resonator spectrum is the well-known thermal form with an effective damping, frequency shift and diffusion term. In contrast, the detector noise shows a rather striking Fano-like resonance, i.e. there is a resonance at the renormalized frequency, and an anti-resonance at the bare resonator frequency. As examples of this effect, we calculate the spectrum of a normal state single electron transistor coupled capacitively to a resonator and of a cavity coupled parametrically to a resonator.
5 pages
References in corpus (12)
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Radiation-pressure cooling and optomechanical instability of a micro-mirror
- Self-cooling of a micro-mirror by radiation pressure
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Cooling a nanomechanical resonator with quantum back-action
- Controllable scattering of photons inside a one-dimensional resonator waveguide
- Single artificial-atom lasing
- Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
- Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
- Nanomechanical-resonator-assisted induced transparency in a Cooper-pair-box system
- Noise in an SSET-resonator driven by an external field
Cited by in corpus (4)
- Quantum Noise Interference and Back-action Cooling in Cavity Nanomechanics
- Coherent mechanical noise cancellation and cooperativity competition in optomechanical arrays
- Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
- A nanomechanical resonator coupled linearly via its momentum to a quantum point contact