Quantum synchronization and transresistance quantization in superconducting devices

preprint2012arXivOpen access

Abstract

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

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