The imaginary Kapitza pendulum
The imaginary Kapitza pendulum
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想象中的卡皮查摆
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Longhi
中科院分区：
文献类型：
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作者：
B. T. Torosov;G. Valle;S. Longhi
我们扩展了复域内的Kapitza稳定理论，即虚振荡电位的情况。在高振荡频率下，准能谱被发现是完全实值的，然而相对于真实的势出现了实质性的差异，即形成了真正的束缚态而不是共振。Kapitza平均法的预测和从复杂的过渡到一个完全实值的准能谱在高频率的振荡高斯势的薛定谔方程的数值模拟证实。本文讨论了虚卡皮查摆在变反射率光学谐振腔稳定性中的应用及其物理实现。
We extend the theory of Kapitza stabilization within the complex domain, i.e. for the case of an imaginary oscillating potential. At a high oscillation frequency, the quasi-energy spectrum is found to be entirely real-valued, however a substantial difference with respect to a real potential emerges, that is the formation of a truly bound state instead of a resonance. The predictions of the Kapitza averaging method and the transition from a complex to an entirely real-valued quasi-energy spectrum at high frequencies are confirmed by numerical simulations of the Schrodinger equation for an oscillating Gaussian potential. An application and a physical implementation of the imaginary Kapitza pendulum to the stability of optical resonators with variable reflectivity is discussed.