AI 中文总结
研究超强耦合 regime 中克尔非线性的相干驱动激子 - 光子微腔，通过简化模型分析下极化激元稳态稳定性，发现双稳性与强耦合 regime 相似但受相关因素影响，导致转折点和滞后窗口偏移。
AI 中文摘要
我们研究了在超强耦合 regime 中具有克尔非线性的相干驱动激子 - 光子微腔。当上下极化激元分支在能量上充分分离时，完整的霍普菲尔德 - 拉比 - 克尔模型简化为下极化激元的有效单模描述。我们分析了下极化激元稳态的稳定性。结果表明，由此产生的双稳性在定性上与强耦合 regime 中的相似。然而，在超强耦合 regime 中，反向旋转过程和抗磁\(A^{2}\)项使极化激元谱和组成重整化，改变了有效失谐\(\tilde{\Delta}_{1}\)和非线性\(U_{\mathrm{LP}}\)与\(g\)的依赖关系，超出了强耦合（旋转波近似）的图像。因此，尽管半经典双稳性判据保持其标准的克尔 - 振荡器形式，但转折点和滞后窗口相对于强耦合预测发生了偏移。
英文摘要
We investigate a coherently driven exciton--photon microcavity with Kerr nonlinearity in the ultrastrong-coupling regime. When the lower and upper polariton branches are well separated in energy, the full Hopfield--Rabi--Kerr model reduces to an effective single-mode description of the lower polariton. We analyze the stability of the lower-polariton steady states. We show that the resulting bistability is qualitatively similar to that in the strong-coupling regime. However, in the ultrastrong-coupling regime counter-rotating processes and the diamagnetic $A^{2}$ term renormalize the polariton spectrum and composition, changing the effective detuning $\tildeΔ_{1}$ and nonlinearity $U_{\mathrm{LP}}$ $g$-dependency beyond the strong-coupling (RWA) picture. As a result, although the semiclassical bistability criterion keeps its standard Kerr--oscillator form, the turning points and hysteresis window are shifted relative to the strong-coupling prediction.
Journal refChaos, Solitons & Fractals 208 (2026) 118218
DOI：10.1016/j.chaos.2026.118218
