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arXiv 2209.11273quant-phcond-mat.supr-con
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扩展Dicke模型中的“束缚发光”态

"Bound luminosity" state in the extended Dicke model

Seidov S. S., Mukhin S.

AI总结:

本文推导了扩展Dicke模型的准经典运动方程,通过Jacobi椭圆函数解析求解出“束缚发光”态,揭示了腔内电磁场与二能级系统间的周期性能量交换,并数值研究了该半经典模型的混沌特性。

摘要:

扩展Dicke模型描述了单模电磁谐振腔与相互作用的二能级系统集合之间的相互作用。本文推导了扩展Dicke模型的准经典运动方程。对于特定的初始条件和参数范围,运动方程可以通过Jacobi椭圆函数解析求解。该解为“束缚发光”态,作者此前曾在普通Dicke模型中描述过该态,现将其推广至扩展Dicke模型的情形。在此状态下,充满二能级系统集合的微波腔中会出现电磁场的周期性拍频。在周期开始时,能量储存在腔内的电磁场中,随后被二能级系统集合吸收,最终在周期结束时释放回腔中。此外,本文还数值研究了半经典模型的混沌特性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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