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arXiv 1501.02786cond-mat.mes-hall
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单电子波包流的一阶关联函数

First-order correlation function of the stream of single-electron wave-packets

Michael Moskalets

摘要:

一阶关联函数,这是可以通过实验获得的,包含了所有关于非相互作用电子系统状态的基本信息。在这里,我将讨论如何使用这个函数来回答这样一个问题,即单电子波包的周期性流的状态是多粒子状态还是单粒子状态的产物。在后一种情况下,期望关联函数是可因子分解的,而在前一种情况下,它不是。作为一个例子,我考虑一个训练的洛伦兹形状的单电子激发,levitons。证明了时域关联函数是否可分解取决于波包是分离的还是重叠的。相反,能量域中的关联函数总是可因式分解的,因此不能用来区分单粒子态和多粒子态。

英文摘要:

The first-order correlation function, which is accessible experimentally, contains all essential information about the state of the system of non-interacting electrons. Here I discuss how this function can be used to answer the question whether the state of a periodic stream of single-electron wave-packets is a multi-particle state or it is the product of single-particle states. In the latter case the correlation function is expected to be factorizable while in the former case it is not. As an example I consider a train of Lorentzian in shape single-electron excitations, levitons. I demonstrate that the correlation function in time domain is factorizable or not depending on whether the wave-packets are separated or overlapping. In contrast, the correlation function in energy domain is always factorizable and thus cannot be used to distinguish single- and multi-particle states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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