Title: PT-symmetric quantum Rabi model Show Chinese title

Title: PT对称量子兰姆模型

Abstract: In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the parameter regime of interest and analyze various physical aspects. We investigate the static and dynamic properties of the model, using both the AA and numerical diagonalization. Our analysis reveals a multitude of exceptional points (EPs) that are closely connected with the exactly solvable points in the Hermitian counterpart of the model. Intriguingly, these EPs vanish and revive depending on the light-matter coupling strength. Furthermore, we discuss the time evolution of physical observables under the non-Hermitian Hamiltonian. Rich and exotic behaviors are observed in both strong and ultra-strong coupling regimes. Our work extends the theory of PT symmetry into the full quantum light-matter interaction regime and provides insights that can be readily enlarged to a broad class of quantum optical systems. Show Chinese abstract

Abstract: 在本工作中，我们探讨了PT对称的量子Rabi模型，该模型描述了一个PT对称的量子比特与一个量子化光场的耦合。 通过采用绝热近似（AA），我们能够在感兴趣的参数范围内对该模型进行解析求解，并分析各种物理特性。 我们使用AA和数值对角化方法研究了该模型的静态和动态性质。 我们的分析揭示了大量异常点（EPs），这些异常点与该模型厄米特对应物中的精确可解点密切相关。 有趣的是，这些EPs会根据光-物质耦合强度的变化而消失和重现。 此外，我们讨论了在非厄米哈密顿量下物理可观测量的时间演化。 在强耦合和超强耦合 regimes 中观察到了丰富而奇特的行为。 我们的工作将PT对称性的理论扩展到了完整的量子光-物质相互作用 regime，并提供了可以轻易推广到一大类量子光学系统的见解。