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    PT-symmetric spin-boson model with a continuous bosonic spectrum: Exceptional points and dynamics

    Yong-Xin Zhang1 and Qing-Hu Chen1,2,*

    • 1Zhejiang Key Laboratory of Micro-Nano Quantum Chips and Quantum Control, School of Physics, Zhejiang University, Hangzhou 310027, China
    • 2Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

    • *Contact author: qhchen@zju.edu.cn

    Phys. Rev. A 113, 063723 – Published 15 June, 2026

    DOI: https://doi.org/10.1103/7ydc-81gz

    Abstract

    This work studies a PT-symmetric non-Hermitian spin-boson model consisting of a non-Hermitian two-level system coupled to a continuous bosonic bath. The static properties of the system are analyzed through a projection method derived from the displacement operator. We find that only a single exceptional point (EP) emerges, in contrast to non-Hermitian spin-boson models with finite modes, which typically exhibit multiple EPs. Notably, only a single real eigenvalue is found before the EP, which differs markedly from typical non-Hermitian systems where a pair of real eigenvalues precedes the EP. The time evolution of observables is further investigated via the Dirac–Frenkel time-dependent variational principle. Compared to its Hermitian counterpart, the non-Hermitian model exhibits distinct dynamical signatures, most notably the emergence of oscillations with periodic amplified amplitude. In the PT-unbroken phase, the system exhibits sustained oscillatory dynamics with suppressed decoherence, whereas in the PT-broken phase, additional dissipative channels accelerate decoherence and drive rapid convergence toward a stable steady state. These results shed light on how PT symmetry protects coherent light–matter interactions in non-Hermitian quantum systems.

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