论文标题
扩展Dicke模型中的“绑定光度”状态
"Bound luminosity" state in the extended Dicke model
论文作者
论文摘要
扩展的DICKE模型描述了单模电磁谐振器与相互作用的两个级别系统的相互作用。在本文中，我们获得了扩展Dicke模型运动的准经验方程。对于某些初始条件和参数范围，可以通过雅各比椭圆函数分析运动方程。该解决方案是“结合光度”状态，该状态是由作者先前针对普通Dicke模型描述的，现在已对扩展的Dicke模型进行了概括。在这种状态下，电磁场的周期性殴打发生在带有两个级别系统的合奏的微波腔中。在时间周期开始时，能量存储在空腔中的电磁场中，然后由两个级别系统的合奏吸收，然后在该时期结束时释放回腔。还研究了半经典模型的混沌特性。
The extended Dicke model describes interaction of the single--mode electromagnetic resonator with an ensemble of interacting two--level systems. In this paper we obtain quasiclassical equations of motion of the extended Dicke model. For certain initial conditions and range of parameters the equations of motion can be solved analytically via Jacobi elliptic functions. The solution is a "bound luminosity" state, which was described by the authors previously for ordinary Dicke model and now is generalized for the case of the extended Dicke model. In this state the periodic beatings of the electromagnetic field occur in the microwave cavity filled with the ensemble of two--level systems. At the beginning of the time period the energy is stored in the electromagnetic field in the cavity, then it is absorbed by the ensemble of two--level systems, being afterwards released back to the cavity in the end of the period. Also the chaotic properties of the semiclassical model are investigated numerically.
