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    Boundary-induced phases in the dissipative Dicke lattice model

    Peng-Fei Wei1, Yilun Xu2,3, Fengxiao Sun2,3, Qiongyi He2,3,4, Peter Rabl5,6,7, and Zhihai Wang1,*

    • *Contact author: wangzh761@nenu.edu.cn

    Phys. Rev. A 114, 023731 – Published 28 August, 2026

    DOI: https://doi.org/10.1103/59tm-9cmd

    Abstract

    The superradiant phase transition in the dissipative Dicke lattice model, driven by on-site collective atom-photon couplings and intersite photon hopping, is a cornerstone of nonequilibrium quantum many-body physics. However, little is still known about the influence of boundaries in experimental achievable systems of finite size. Here we investigate the dissipative superradiant phase transition in the Dicke lattice model with a small number of sites and reveal a striking sensitivity of this model to the nature of the boundary conditions. Under open boundary conditions, we observe qualitatively distinct behavior, including the absence of homogeneous superradiance, a strongly shifted critical coupling, and an enlarged range of hopping strengths over which steady states remain stable, in sharp contrast to that with periodic boundary conditions. Our results demonstrate the crucial influence of boundary effects on the stationary phases of dissipative lattice models, which offers intriguing opportunities for studying these phenomena in near-term experimental realizations of such models in quantum optics and circuit QED.

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