标题： Landau-Zener-Stueckelberg势能曲线交叉中的对偶性 显示英文标题

标题： Duality in Landau-Zener-Stueckelberg potential curve crossing

摘要： 指出，在Landau-Zener-Stueckelberg势能曲线交叉处存在一个有趣且强弱对偶性。因此，可以在弱相互作用和强相互作用的两种极限下建立可靠的微扰理论。结果显示，势能交叉现象的主要特征，例如Landau-Zener公式及其数值系数，都可以通过简单的（时不变）微扰理论很好地描述，而不必参考Stokes现象。在“磁场”图景中出现了一种类似折痕的拓扑对象，它导致了Landau-Zener公式前因子中缺少耦合常数。还表明，双势阱中的量子相干性通常会受到势能曲线交叉效应的抑制，这类似于Ohmic耗散对量子相干性的影响。 显示英文摘要

摘要： It is pointed out that there exists an interesting strong and weak duality in the Landau-Zener-Stueckelberg potential curve crossing. A reliable perturbation theory can thus be formulated in the both limits of weak and strong interactions. It is shown that main characteristics of the potential crossing phenomena such as the Landau-Zener formula including its numerical coefficient are well-described by simple (time-independent) perturbation theory without referring to Stokes phenomena. A kink-like topological object appears in the ``magnetic'' picture, which is responsible for the absence of the coupling constant in the prefactor of the Landau-Zener formula. It is also shown that quantum coherence in a double well potential is generally suppressed by the effect of potential curve crossing, which is analogous to the effect of Ohmic dissipation on quantum coherence.