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.
arXiv comment19 pages, 11 figures, published in PRB
References in corpus (51)
- 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 of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
- Cooling a nanomechanical resonator with quantum back-action
- Laser cooling of a nanomechanical resonator mode to its quantum ground state
- An all-optical trap for a gram-scale mirror
- Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback
- Coupled ion - nanomechanical systems
- Ground state cooling of mechanical resonators
- Trapping and Cooling a mirror to its quantum mechanical ground state
- Full counting statistics of nano-electromechanical systems
- Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
- 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
- Cooling of Nanomechanical Resonator Based on Periodical Coupling to Cooper Pair Box
- Mirror quiescence and high-sensitivity position measurements with feedback
- Passive Cooling of a Micromechanical Oscillator with a Resonant Electric Circuit
- Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
- 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
- Full Counting Statistics of a charge shuttle
- Qantum theory of optomechanical cooling
- Strong feedback and current noise in nanoelectromechanical systems
- Cooling a Micromechanical Beam by Coupling it to a Transmission Line
- Transport Statistics of Bistable Systems
- Self-cooling of a movable mirror to the ground state using radiation pressure
- Lower limit on the achievable temperature in resonator-based sideband cooling
- Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
- Current noise of a single-electron transistor coupled to a nano-mechanical resonator
- Distortion blockade in classical nano-electromechanical resonator
- Current noise spectrum of a quantum shuttle
- Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor
- Electrical transport through a single-electron transistor strongly coupled to an oscillator
- 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
- 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
- Noise properties of two single electron transistors coupled by a nanomechanical resonator
- Full counting statistics and conditional evolution in a nanoelectromechanical system
Cited by in corpus (7)
- Mechanical systems in the quantum regime
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Photon-mediated electron transport in hybrid circuit-QED
- Non-equilibrium correlations and entanglement in a semiconductor hybrid circuit-QED system
- Phase Transitions in Trajectories of a Superconducting Single-Electron Transistor Coupled to a Resonator
- Charge-vibration interaction effects in normal-superconductor quantum dots
- Spectral properties of a resonator driven by a superconducting single-electron transistor