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    General phase diagram features of superradiant phase transitions

    Wen Zhao1, Junlong Tian2, and Jie Peng1,*

    • 1Hunan Key Laboratory for Micro-Nano Energy Materials and Devices and School of Physics and Optoelectronics, Xiangtan University, Hunan 411105, China
    • 2Department of Electronic Science, College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China

    • *Contact author: jpeng@xtu.edu.cn

    Phys. Rev. A 113, 053712 – Published 11 May, 2026

    DOI: https://doi.org/10.1103/9l6x-4fnx

    Abstract

    Various light-matter interactions lead to diverse phase diagram structures in superradiant phase transition (SPT) studies. Such systems consist of multiqubit and multimode with anisotropic couplings, one- and two-photon interactions, Stark shifts, intercavity hoppings, qubit-qubit interactions, and so on. We find a general phase diagram feature that the origin is in normal phase and SPT happens only once along the radial direction of a chosen coupling parameter vector with the mean-field method at finite temperature. We can calculate the phase boundary and SPT properties by a concise method. We illustrate it with specific models and find SPT can be achieved in the strong coupling regime by means of multimode collective behavior. We also find the disorder will shift the phase boundary. These general features facilitate SPT studies and their diverse applications.

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