Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator

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 (19)

• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• 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
• 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
• Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
• Transport Statistics of Bistable Systems
• 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
• Low frequency current noise of the single-electron shuttle
• Current noise of a superconducting single electron transistor coupled to a resonator