Feynman path description of the effects of dephasing of spatial coherences on the transmission and reflection probabilities through a one-dimensional potential

Feynman path description of the effects of dephasing of spatial coherences on the transmission and reflection probabilities through a one-dimensional potential
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通过一维势空间相干性对传输和反射概率的影响的费曼路径描述

DOI:
10.1088/1402-4896/acad39
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发表时间:
2023
期刊:
影响因子:
2.9
通讯作者:
Walls, Jamie D
Walls, Jamie D
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Nagalla, Karna;Walls, Jamie D

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在这项工作中,我们研究的空间移相的相干电子的透射和反射概率与能量E入射到一个一维的矩形障碍的高度V 0的影响。统计模型中,不同的散射路径或“费曼路径”之间的相干性进行移相的长度尺度,L。对于E> V 0的入射波,研究了三种不同的退相模型,这些模型衰减了空间相干性对透射和反射概率的贡献,同时保持了么正性(即,守恒电荷)。然而,在隧穿区(入射波E< V 0),保持么正性需要L ∞ →∞,这表明通过矩形势垒的弹性隧穿对于这些失相模型是100%空间相干的。然而,波的吸收模型被证明是保持在隧道制度,这是不是在势垒以上的散射的情况下的么正性。
In this work, we examine the effects of spatial dephasing of coherences on the transmission and reflection probabilities for electrons with energy E incident to a one-dimensional rectangular barrier of height V 0. Statistical models are presented where the coherence between different scattering pathways or'Feynman paths' undergo dephasing over a length scale, L ϕ. For incident waves with E> V 0, three different dephasing models that attenuate the contributions of spatial coherence to the transmission and reflection probabilities while preserving unitarity (ie, conserving charge) were investigated. In the tunneling regime (incident waves with E< V 0), however, preserving unitarity requires L ϕ→∞, suggesting that elastic tunneling through a rectangular barrier is 100% spatially coherent for these dephasing models. However, wave absorption models are shown to preserve unitarity in the tunneling regime, which is not the case for scattering above the barrier.
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