Higher order Josephson effects

TL;DR

This paper explores higher order Josephson effects where multiple magnetic fluxes linked with superconducting loops cause interference shifts proportional to the product of these fluxes, extending known single-flux phenomena.

Contribution

It generalizes the Josephson interference effects to higher order linkings involving multiple magnetic fluxes, revealing new flux-dependent interference phenomena.

Findings

Interference shifts proportional to the product of multiple fluxes.

Extension of Josephson effects to complex linking scenarios.

Potential implications for quantum interference devices.

Abstract

Gaussian linking of superconducting loops containing Josephson junctions with enclosed magnetic fields give rise to interference shifts in the phase that modulates the current carried through the loop, proportional to the magnitude of the enclosed flux. We generalize these results to higher order linking of a superconducting loop with several magnetic solenoids, and show there may be interference shifts proportional to the product of two or more fluxes.