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arXiv · 2507.14115

Anyonic analogue of optical Mach-Zehnder interferometer

Navketan Batra·Zezhu Wei·Smitha Vishveshwara·D. E. Feldman
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Abstract

Anyonic interferometry is a direct probe of fractional statistics. We propose an interferometry geometry that parallels an optical Mach-Zehnder interferometer and offers several advantages over existing interferometry schemes. In contrast to the currently studied electronic Mach-Zehnder interferometer, our setup has no drain inside the device so that the trapped topological charge is time-independent. In contrast to electronic Fabry-P\'erot interferometry, anyons cannot go around the device more than once. Thus, the interference signal has a straightforward interpretation in terms of anyonic statistical phases. The proposed geometry suppresses the undesirable effects of bulk-edge coupling. Moreover, the setup allows for simple exact solutions for the electric current and noise for an arbitrary quasiparticle tunneling strength in a broad range of conditions. The structure of the solutions is similar to that for non-interacting electrons but reflects fractional charge and statistics. We present results for electric current and noise in Jain states and address thermal interferometry at zero voltage bias.

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Navketan Batra, Zezhu Wei, Smitha Vishveshwara, D. E. Feldman. 2025-07-18. Anyonic analogue of optical Mach-Zehnder interferometer. https://doi.org/10.1103/rp5m-r8fr

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