初始开关条件引起的记忆效应
Memory effects induced by initial switching conditions
摘要：
初始转换指的是初始受限状态的衰变开始的方式，因为将其与外部隔离的屏障被放松。我们研究这些影响的背景下Longhi的版本的Fano-Anderson模型。大多数作者假设突然近似，其中耦合是瞬间打开的。我们考虑一个有限的上升时间T，数值和解析。当耦合在开关时间T上线性上升时，我们表明渐近生存幅度获得相位T，并由因子（sin T）/T调制。得到了与模型解有关的其他几个结果。所有站点振幅在指数衰减期间具有相同的衰减常数。在渐近状态下，衰减振荡的振幅和相位依赖于初始开关轮廓，但周期不依赖。
英文摘要：
Initial-switching refers to the way in which the decay of an initially confined state begins, as the barrier isolating it from the exterior is relaxed. We study these effects in the context of Longhi's version of the Fano-Anderson model. Most authors assume the sudden approximation where the coupling is turned on instantaneously. We consider a finite rise time T, both numerically and analytically. When the coupling is ramped up linearly over a switching time T, we show that the asymptotic survival amplitude acquires a phase T and is modulated by a factor (sin T)/T. Several other results relating to the solution of the model are obtained. All site amplitudes have the same decay constant during the exponential decay regime. In the asymptotic regime, the amplitude and phase of decay oscillations depend on the initial-switching profile, but the period does not.
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