Abstract

Analytic solution of semiclassical dynamics equations of the Dicke model in a superradiant state is presented. The time dependences of the amplitudes of superradiant photonic condensate and coherent population of two-level atomic array in the microwave cavity prove to be expressed via Jacobi elliptic functions of real time and manifest existence of an adiabatic invariant of motion in the strongly coupled system. The periodic beatings of the photonic and atomic coherent state amplitudes are shifted in time revealing an effect of “bound luminosity,” when energy stored in the two-level system during “darkness” in the cavity is suddenly converted into photonic condensate that “illuminates” the cavity for half a period, before it plunges into “darkness” again.

中文翻译：

---

“束缚光度”状态下超辐射偶极相中的 Dicke 模型半经典动力学

摘要

给出了超辐射状态下Dicke模型的半经典动力学方程的解析解。微波腔中超辐射光子凝聚和两能级原子阵列相干布居的振幅的时间依赖性证明是通过实时的雅可比椭圆函数表达的，并且在强耦合系统中明显存在运动的绝热不变量。光子和原子相干态振幅的周期性跳动随着时间的推移而变化，揭示了“约束光度”的影响，当空腔中“黑暗”期间储存在两能级系统中的能量突然转化为“照亮”的光子凝聚物时空腔半时间，才再次陷入“黑暗”。