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arXiv · 2603.05052

Fabry-P\'erot interferometry with stochastic anyonic sources

Sarthak Girdhar·Edvin G. Idrisov·Thomas L. Schmidt
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Abstract

We investigate the interference of Laughlin quasiparticles (QPs) in the fractional quantum Hall regime that are stochastically injected into a Fabry--P\'erot interferometer. We find that the effective Aharonov--Bohm (AB) phase accumulated along the interferometer loop acquires an additional contribution of $\sin(2\pi\lambda)/2$ per QP present on it, where $\pi\lambda$ is the QP exchange phase. This contribution originates from time-domain braiding processes associated with injected QPs passing the interferometer quantum point contacts. In the limit of symmetric QP injection, the tunneling current noise exhibits AB oscillations as a function of the total injected current, providing access to the exchange phase $\pi\lambda$. In the regime of large total injection, we identify a universal Fano factor that displays power-law scaling and a characteristic phase shift reflecting time-domain QP braiding at the interferometer QPCs. These results are relevant for accessing anyonic exchange statistics in mesoscopic interferometers.

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Sarthak Girdhar, Edvin G. Idrisov, Thomas L. Schmidt. 2026-03-05. Fabry-P\'erot interferometry with stochastic anyonic sources. https://arxiv.org/abs/2603.05052

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