Topological edge states of anyon pairs emulated in electric circuits

Recent advances in two-particle topological quantum states demonstrate resilience to geometrical imperfections and hold perspectives for robust quantum computations. In this context, particles with fractional quantum statistics, the so-called anyons, attract especial attention. In particular, topolo...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-11, Vol.2015 (1), p.12127
Main Authors: Rozenblit, A D, Olekhno, N A, Dmitriev, A A, Seregin, P S, Gorlach, M A
Format: Article
Language:English
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Summary:Recent advances in two-particle topological quantum states demonstrate resilience to geometrical imperfections and hold perspectives for robust quantum computations. In this context, particles with fractional quantum statistics, the so-called anyons, attract especial attention. In particular, topological edge states of anyon pairs in one-dimensional chains of coupled cavities were recently predicted to demonstrate localization at one or another edge of the array depending on details of the quantum statistics. In this paper, propose an equivalent electric circuit serving as a classical emulator of such topological states. Detailed numerical studies of resonances in the circuit fully support theoretical predictions, pointing towards future experimental realizations of anyonic states analogs in electrical circuits.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2015/1/012127