Current to frequency conversion in a Josephson circuit

Abstract

The voltage oscillations which occur in an ideally current-biased Josephson junction, were proposed to make a current standard for metrology. We demonstrate similar oscillations in a more complex Josephson circuit derived from the Cooper pair box: the quantronium. When a constant current I is injected in the gate capacitor of this device, oscillations develop at the frequency fB=I/2e, with e the electron charge. We detect these oscillations through the sidebands induced at multiples of fB in the spectrum of a microwave signal reflected on the circuit, up to currents I exceeding 100 pA. We discuss the potential interest of this current to frequency conversion experiment for metrology.

To be published in Physical Review Letters

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• Heat Transistor: Demonstration of Gate-Controlled Electron Refrigeration
• NMR-like control of a quantum bit superconducting circuit
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• Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices