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    Chirally frustrated superradiant phases in a Jaynes-Cummings trimer

    Lin-Lin Jiang1, Ya-Ping Ni1, Xuan Xie1, Lin Tian2, and Jin-Feng Huang1,3,4,*

    • 1Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Key Laboratory for Matter Microstructure and Function of Hunan Province, Department of Physics, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
    • 2School of Natural Sciences, University of California, Merced, California 95343, USA
    • 3Institute of Interdisciplinary Studies, Hunan Normal University, Changsha 410081, China
    • 4Hunan Research Center of the Basic Discipline for Quantum Effects and Quantum Technologies, Hunan Normal University, Changsha 410081, China

    • *Contact author: jfhuang@hunnu.edu.cn

    Phys. Rev. A 114, 043730 – Published 19 October, 2026

    DOI: https://doi.org/10.1103/ftjc-bvwf

    Abstract

    We investigate the emergence of frustrated quantum phases in a Jaynes-Cummings (JC) trimer with complex hopping amplitudes between the cavities, which represents the smallest frustrated unit in light-matter systems. The complex hopping amplitudes that can be engineered via synthetic gauge fields introduce chiral effects and geometric frustration to the system. We obtain analytic solutions in the semiclassical limit and map out the phase diagram of this model, featuring one normal and three distinct superradiant phases. Among these phases, a chirally frustrated superradiant phase emerges, characterized by broken chiral and translational symmetries and unidirectional photon flow. These results reveal how frustration and symmetry breaking can arise in JC systems with synthetic gauge fields and strong light-matter coupling.

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