Quantum synchronization and transresistance quantization in superconducting devices
Alina Hriscu, Yuli V. Nazarov
TL;DR
This paper theoretically demonstrates quantum synchronization in superconducting devices, leading to quantized transresistance akin to the Quantum Hall Effect, with potential for extremely low synchronization errors using an LC oscillator.
Contribution
It introduces a theoretical framework for quantum synchronization of Josephson and Bloch oscillations, resulting in transresistance quantization in superconducting systems.
Findings
Quantum synchronization of Josephson and Bloch oscillations is possible.
Synchronization errors can be exponentially suppressed with an LC oscillator.
Transresistance becomes quantized similarly to the Quantum Hall Effect.
Abstract
We show theoretically the possibility of quantum synchronization of Josephson and Bloch oscillations in a superconducting device. One needs an 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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