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    Distinct Berry phases in a single triangular Möbius microwave resonator

    E. C. I. Paterson*, M. E. Tobar, M. Goryachev, and J. Bourhill

    • Quantum Technologies and Dark Matter Labs, Department of Physics, University of Western Australia, 35 Stirling Hwy, Crawley 6009, Western Australia, Australia

    • *Contact author: 22734222@student.uwa.edu.au

    Phys. Rev. A 113, 043501 – Published 1 April, 2026

    DOI: https://doi.org/10.1103/qnym-rzrs

    Abstract

    We report the experimental observation of two distinct Berry phases (+2π3 and −2π3) generated on the surface of a Möbius cavity resonator at microwave frequencies supporting the TE1,0,n mode family. This resonator consists of a twisted, mirror-asymmetric prism with a cross section of the triangular D3 symmetry group, bent around on itself to form a ring. This geometric class supports resonant modes with nonzero electromagnetic helicity (i.e., a nonzero E⃗·B⃗ product) at microwave frequencies. There exist modes with three-fold rotational symmetry as well as those that exhibit no rotational symmetry. The latter result in an accumulated Berry phase while the former do not, which is determined from the measured frequency shift of the modes when compared to a mirror-symmetric resonator of otherwise equivalent geometry.

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