Weisskopf-Wigner指数衰减与Rabi振荡连续跃迁的经典模拟
Classical analogue of the continuous transition between the Weisskopf-Wigner exponential decay and the Rabi oscillation
摘要：
当一个离散状态耦合到一个连续体，动力学可以描述为Weisskopf-Wigner指数衰减或拉比振荡，这取决于连续体宽度和拉比频率的相对大小。这两种制度之间存在着连续的过渡，正如1977年C. Cohen-Tannoudji和P. Avan.在这里，我们描述了一个完全类似的过渡经典力学，通过研究动力学的两个耦合的机械振子在阻尼的存在。通过改变阻尼和耦合项的相对大小，我们观察到一个政权之间的连续过渡类似的拉比振荡和政权类似的Weisskopf-Wigner指数衰减。
英文摘要：
When a discrete state is coupled to a continuum, the dynamics can be described either by the Weisskopf-Wigner exponential decay or by the Rabi oscillation, depending on the relative magnitudes of the continuum width and of the Rabi frequency. A continuous transition between these two regimes exists, as demonstrated in 1977 by C. Cohen-Tannoudji and P. Avan. Here, we describe a fully analogous transition in classical mechanics, by studying the dynamics of two coupled mechanical oscillators in the presence of damping. By varying the relative magnitudes of the damping and coupling terms, we observe a continuous transition between a regime analogous to the Rabi oscillation and a regime analogous to the Weisskopf-Wigner exponential decay.
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