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    Dissipative quantum phase transitions in electrically driven lasers

    Lei-Lei Nian1, Yi-Cheng Wang1, Jin-Yi Wang1, Long Xiong1, Bo Zheng1,2,3,*, and Jing-Tao Lü4,5,6,†

    • *Contact author: zhengbo@zju.edu.cn
    • †Contact author: jtlu@hust.edu.cn

    Phys. Rev. A 113, 013718 – Published 12 January, 2026

    DOI: https://doi.org/10.1103/tz9p-wfj7

    Abstract

    Embedding quantum-dot circuits into microwave cavities has emerged as a promising platform for controlling photon-emission statistics by electrical means. With such a circuit version of the Rabi model, we reveal previously unexplored quantum phase transitions in electrically driven lasing regimes. For one-photon interactions, the scaling analysis indicates that the system undergoes a continuous phase transition from thermal to coherent photon emissions. Going beyond this, a discontinuous quantum phase transition from superbunched to coherent states in two-photon processes, accompanied by the bistability within a mean-field theory, is predicted. Both the order of phase transitions and the critical electron-photon coupling can be easily controlled by an electric field, while the tunneling current can be used as a fingerprint of such transitions. Our prediction, along with its extension to multiphoton processes, represents a key step towards accessing lasing phase transitions.

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