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Traversal Times for Resonant Tunneling

机译:共振隧穿的穿越时间

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摘要

The tunneling time of a particle through a given barrier is commonly defined in terms of "internal clocks" that effectively measure the interaction time with internal degrees of freedom of the barrier. It is known that this definition of the time scale for tunneling is not unique in the sense that it depends on the clock used to define it. For the case of resonance tunneling, a particular choice that in the limit of a high/broad square barrier yields the original result of Buttiker and Landauer (Phys. Rev. Lett. 1982, 49, 1739) is correlated to the lifetime of the resonance state. This is illustrated for analytically solvable one-dimensional double barrier models and for a realistic model of electron tunneling through a static water barrier. The latter calculation constitutes a novel application of this concept to a 3-dimensional model, and the observed structure in the energy dependence of the computed traversal time reflects the existence of transient tunneling resonances associated with instantaneous water structures. These models, characterized by the existence of shape resonances in the barrier, make is possible to examine different internal clocks that were proposed for measuring tunneling times in situations where a "clock independent" intrinsic time scale (the resonance lifetime) for the tunneling time exists. It is argued that this time may be used in order to estimate the relative importance of dynamical barrier processes that affect the tunneling probability.
机译:通常通过“内部时钟”来定义粒子通过给定屏障的隧穿时间,该“内部时钟”有效地测量具有屏障的内部自由度的相互作用时间。众所周知,隧道时间尺度的定义并不是唯一的,因为它取决于用于定义时间尺度的时钟。对于共振隧穿,在高/宽方形势垒的极限内产生Buttiker和Landauer的原始结果的特殊选择(Phys。Rev. Lett。1982,49,1739)与共振的寿命相关州。对于解析可解的一维双势垒模型和通过静态水势垒的电子隧穿的实际模型进行了说明。后者的计算构成了该概念在3维模型中的新颖应用,并且所观察到的结构在所计算的穿越时间的能量依赖性中反映了与瞬时水结构关联的瞬态隧穿共振的存在。这些模型的特征在于势垒中存在形状共振,因此可以检查提出的用于测量隧道时间的不同内部时钟,在这种情况下,存在隧道时间的“独立于时钟的”固有时间尺度(共振寿命) 。有人认为,可以使用这个时间来估计影响隧道概率的动态势垒过程的相对重要性。

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