Quantum synchronization and transresistance quantization in superconducting devices

Abstract

We show theoretically the possibility of quantum synchronization of Josephson and Bloch oscillations in a superconducting device. One needs an $LC$ oscillator to achieve exponentially small rate of synchronization errors. The synchronization leads to quantization of transresistance similar to that in (Fractional) Quantum Hall Effect.

References in corpus (1)

• Quantum phase slip phenomenon in ultra-narrow superconducting nanorings

Cited by in corpus (1)

• NbSi nanowire quantum-phase-slip circuits: dc supercurrent blockade, microwave measurements and thermal analysis