Current noise of a superconducting single electron transistor coupled to a resonator

Abstract

We analyze the current and zero-frequency current noise properties of a superconducting single electron resonator (SSET) coupled to a resonator, focusing on the regime where the SSET is operated in the vicinity of the Josephson quasiparticle resonance. We consider a range of coupling strengths and resonator frequencies to reflect the fact that in practice the system can be tuned to quite a high degree with the resonator formed either by a nanomechanical oscillator or a superconducting stripline fabricated in close proximity to the SSET. For very weak couplings the SSET acts on the resonator like an effective thermal bath. In this regime the current characteristics of the SSET are only weakly modified by the resonator. Using a mean field approach, we show that the current noise is nevertheless very sensitive to the correlations between the resonator and the SSET charge. For stronger couplings, the SSET can drive the resonator into limit cycle states where self-sustained oscillation occurs and we find that regions of well-defined bistability exist. Dynamical transitions into and out of the limit cycle state are marked by strong fluctuations in the resonator energy, but these fluctuations are suppressed within the limit cycle state. We find that the current noise of the SSET is strongly influenced by the fluctuations in the resonator energy and hence should provide a useful indicator of the resonator's dynamics.

Reduced quality figures for arXiv version; v2 minor corrections

References in corpus (26)

• Shot Noise in Mesoscopic Conductors
• Cooling a nanomechanical resonator with quantum back-action
• Single artificial-atom lasing
• Full counting statistics of nano-electromechanical systems
• Shot Noise Spectrum of Open Dissipative Quantum Two-level Systems
• Quantum Shuttle in Phase Space
• Single-qubit lasing and cooling at the Rabi frequency
• Shot Noise of a Quantum Shuttle
• Current noise in a vibrating quantum dot array
• 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
• Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
• Full Counting Statistics of a charge shuttle
• Strong feedback and current noise in nanoelectromechanical systems
• Steering of a Bosonic Mode with a Double Quantum Dot
• Current noise of a single-electron transistor coupled to a nano-mechanical resonator
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Charge and current fluctuations in a superconducting single electron transistor near a Cooper pair resonance
• Laser-like Instabilities in Quantum Nano-electromechanical Systems
• Shot noise for resonant Cooper pair tunneling
• Coherent oscillations in a Cooper-pair box
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Low frequency current noise of the single-electron shuttle
• Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
• Charge Transport Processes in a Superconducting Single-Electron Transistor Coupled to a Microstrip Transmission Line
• Measuring the Momentum of a Nanomechanical Oscillator through the Use of Two Tunnel Junctions

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