Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
arXiv:0810.5718 · doi:10.1103/PhysRevB.79.134511
Abstract
We investigate a superconducting single-electron transistor capacitively coupled to a nanomechanical oscillator and focus on the double Josephson quasiparticle resonance. The existence of two coherent Cooper pair tunneling events is shown to lead to pronounced backaction effects. Measuring the current and the shot noise provides a direct way of gaining information on the state of the oscillator. In addition to an analytical discussion of the linear-response regime, we discuss and compare results of higher-order approximation schemes and a fully numerical solution. We find that cooling of the mechanical resonator is possible, and that there are driven and bistable oscillator states at low couplings. Finally, we also discuss the frequency dependence of the charge noise and the current noise of the superconducting single electron transistor.
19 pages, 11 figures, published in PRB
References in corpus (32)
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- 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
- Cavity Optomechanics
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
- Cooling a nanomechanical resonator with quantum back-action
- Trapping and Cooling a mirror to its quantum mechanical ground state
- Full counting statistics of nano-electromechanical systems
- Single-qubit lasing and cooling at the Rabi frequency
- Shot Noise of a Quantum Shuttle
- Current noise in a vibrating quantum dot array
- Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
- Passive Cooling of a Micromechanical Oscillator with a Resonant Electric Circuit
- Intrinsic noise properties of atomic point contact displacement detectors
- Simultaneous cooling of an artificial atom and its neighboring quantum system
- Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
- Qantum theory of optomechanical cooling
- Strong feedback and current noise in nanoelectromechanical systems
- Transport Statistics of Bistable Systems
- Lower limit on the achievable temperature in resonator-based sideband cooling
- Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
- Distortion blockade in classical nano-electromechanical resonator
- Electrical transport through a single-electron transistor strongly coupled to an oscillator
- Laser-like Instabilities in Quantum Nano-electromechanical Systems
- Cooling of a Micro-mechanical Resonator by the Back-action of Lorentz Force
- Low frequency current noise of the single-electron shuttle
- Current noise of a superconducting single electron transistor coupled to a resonator
- Fano-like Anti-resonances in Nanomechanical and Optomechanical Systems
- Full counting statistics and conditional evolution in a nanoelectromechanical system