双稳态谐振腔泵浦三能级行波量子放大器中稳态反转态的饱和
Saturation of Stationary Inversion States in a Three-Level Traveling-Wave Quantum Amplifier with Bistable Resonator Pumping
摘要：
研究了饱和行波三能级量子顺磁放大器在双稳态共振腔抽运条件下的反转态。用绝热消去快变量的方法得到了矢量序参量的运动方程。从这些方程中找到了定态反转态的精确解。对于高质量的泵浦谐振器，在稳态解中揭示了反转比的孤立和半孤立分支。半隔离分支的存在意味着在饱和信号的影响下反转态崩溃的可能性。在这种情况下，只有通过泵系统的硬激励，反转才有可能恢复。这种非线性现象在性质上与我们在arXiv：0901.0449v1 [nlin.AO]中描述的现象不同，并且可以在泵浦谐振器的中等Q因子下观察到。
英文摘要：
The inversion states of a saturated traveling-wave three-level quantum paramagnetic amplifier have been investigated under conditions of bistable resonator pumping. The equations of motion for the vectorial order parameter have been obtained using adiabatic elimination of fast variables. The exact solutions for stationary inversion states have been found from these equations. For high-quality pump resonators, the isolated and the semi-isolated branches of the inversion ratio have been revealed in stationary solutions. The existence of the semi-isolated branches means a possibility of collapse of the inversion state under influence of a saturating signal. Revival of inversion is possible in this case only by the hard excitation of the pump system. This nonlinear phenomenon is of a qualitatively another nature than one described by us in arXiv:0901.0449v1 [nlin.AO], and may be observed at moderate Q-factor of pump resonator.
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