Noise in an SSET-resonator driven by an external field
arXiv:0807.4612 · doi:10.1103/PhysRevB.78.104302
Abstract
We investigate the noise properties of a superconducting single electron transistor (SSET) coupled to an harmonically driven resonator. Using a Langevin equation approach, we calculate the frequency spectrum of the SSET charge and calculate its effect on the resonator field. We find that the heights of the peaks in the frequency spectra depend sensitively on the amplitude of the resonator oscillation and hence suggest that the heights of these peaks could act as a sensitive signal for detecting the small changes in the amplitude of the drive. The previously known results for the effective amplitude-dependent damping and temperature provided by the SSET for the case of a low frequency resonator are generalized for all resonator frequencies.
11 pages. Accepted for PRB
References in corpus (27)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Cooling a nanomechanical resonator with quantum back-action
- Dynamical multistability in high-finesse micromechanical optical cavities
- Single artificial-atom lasing
- Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
- Single-qubit lasing and cooling at the Rabi frequency
- Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
- Measurement induced quantum-classical transition
- Quantum dynamics of a resonator driven by a superconducting single-electron transistor: a solid-state analogue of the micromaser
- Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
- Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
- Single-electron Tunneling with Strong Mechanical Feedback
- Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
- Quantum limited sensitivity of SET-based displacement detectors
- Quantum analysis of a linear DC SQUID mechanical displacement detector
- Shot Noise of a Tunnel Junction Displacement Detector
- Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor
- Charge and current fluctuations in a superconducting single electron transistor near a Cooper pair resonance
- Laser-like Instabilities in Quantum Nano-electromechanical Systems
- Coherent oscillations in a Cooper-pair box
- Statistics of charge transfer in a tunnel junction coupled to an oscillator
- Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
- Improved position measurement of nano electromechanical systems using cross correlations