Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires

C. Laflamme; J. C. Budich; P. Zoller; M. Dalmonte

doi:10.1038/ncomms12280

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arXiv · 1602.05845

Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires

C. Laflamme·J. C. Budich·P. Zoller·M. Dalmonte

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Abstract

We theoretically study a Kitaev wire interrupted by an extra site which gives rise to super exchange coupling between two Majorana bound states. We show that this system hosts a tunable, non-equlibrium Josephson effect with a characteristic $8\pi$ periodicity of the Josephson current. We elucidate the physical mechanism deriving a minimal model for the junction and confirm its quantitative accuracy by comparison to the numerical solution of the full model. The visibility of the $8\pi$ periodicity of the Josephson current is then studied using time-dependent simulations including the effects of dephasing and particle losses. Our findings provide a novel signature of Majorana quasi-particles which is qualitatively different form the behavior of a conventional superconductor, and can be experimentally verified in cold atom systems using alkaline-earth-like atoms.

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C. Laflamme, J. C. Budich, P. Zoller, M. Dalmonte. 2016-02-18. Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires. https://doi.org/10.1038/ncomms12280

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