Noise calculations within the second-order von Neumann approach

Philipp Zedler; Clive Emary; Tobias Brandes; Tomas Novotny

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Noise calculations within the second-order von Neumann approach

机译：二阶冯·诺依曼方法中的噪声计算

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摘要

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix of the system resolved with respect to the number of transported charges enables the evaluation of the noise and higher-order cumulants of the full counting statistics. We apply this formalism to an analytically solvable model of a single-level quantum dot coupled to highly biased leads with Lorentzian energy-dependent tunnel coupling and demonstrate that, although reproducing exactly the mean current, the resonant tunneling approximation is not exact for the noise and higher-order cumulants. Even if it may fail in the regime of strongly non-Markovian dynamics, this approach genetically improves results of lower-order and/or Markovian approaches.

机译：我们将广义主方程形式主义中的二阶冯·诺伊曼方法扩展到量子电子传输，以包括计数场。相对于所传输电荷的数量所解析的系统的降低密度矩阵所产生的非马尔可夫演化方程使得能够对全计数统计数据的噪声和高阶累积量进行评估。我们将此形式主义应用于单级量子点的解析可解模型，该单级量子点通过洛伦兹能量依赖型隧道耦合与高偏置引线耦合，并证明，尽管精确地再现了平均电流，但谐振隧道近似对于噪声和噪声并不精确。高阶累积量。即使在强非马尔可夫动力学的状态下可能会失败，这种方法也会从遗传角度改善低阶和/或马尔可夫方法的结果。

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来源
《Physical review》 |2011年第23期|p.233303.1-233303.4|共4页
作者
Philipp Zedler; Clive Emary; Tobias Brandes; Tomas Novotny;
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作者单位

Institut fur Theoretische Physik, Technische Universitdt Berlin, D-10623 Berlin, Germany;

Institut fur Theoretische Physik, Technische Universitdt Berlin, D-10623 Berlin, Germany;

Institut fur Theoretische Physik, Technische Universitdt Berlin, D-10623 Berlin, Germany;

Department of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University in Prague,Ke Karlovu 5, CZ-12116 Praha 2, Czech Republic;

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正文语种 eng
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noise processes and phenomena; electronic transport in nanoscale materials and structures; quantum transport; ballistic transport;

机译：噪声过程和现象;纳米材料和结构中的电子传输;量子传输弹道运输;

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机译：运动方程，电流和方程的图解说明二阶冯诺依曼方法中的噪声

Noise calculations within the second-order von Neumann approach

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