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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Universal oscillations in counting statistics
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Universal oscillations in counting statistics

机译：统计统计中的普遍振荡

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摘要

Noise is a result of stochastic processes that originate from quantum or classical sources. Higher-order cumulants of the probability distribution underlying the stochastic events are believed to contain details that characterize the correlations within a given noise source and its interaction with the environment, but they are often difficult to measure. Here we report measurements of the transient cumulants n~m of the number n of passed charges to very high orders (up to m = 15) for electron transport through a quantum dot. For large m, the cumulants display striking oscillations as functions of measurement time with magnitudes that grow fac-torially with m. Using mathematical properties of high-order derivatives in the complex plane we show that the oscillations of the cumulants in fact constitute a universal phenomenon, appearing as functions of almost any parameter, including time in the transient regime. These ubiquitous oscillations and the factorial growth are system-independent and our theory provides a unified interpretation of previous theoretical studies of high-order cumulants as well as our new experimental data.
机译：噪声是源自量子或经典来源的随机过程的结果。人们认为，随机事件基础上的概率分布的高阶累积量包含表征给定噪声源及其与环境的相互作用之间的相关关系的细节，但它们通常很难测量。在这里，我们报告了通过电子电荷通过量子点传输的电荷数量n到非常高阶（高达m = 15）的瞬态累积量 n〜m 的测量结果。对于较大的m，累积量显示出惊人的振荡，这是测量时间的函数，其幅度随m的增加而增大。利用复数平面中高阶导数的数学性质，我们表明，累积量的振荡实际上构成了一种普遍现象，表现为几乎任何参数的函数，包括瞬态中的时间。这些无处不在的振荡和阶乘增长与系统无关，并且我们的理论为先前对高阶累积量的理论研究以及我们的新实验数据提供了统一的解释。

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  • 作者

    C. Flindt; C. Fricke; F. Hohls; T. Novotny; K. Netocny; T. Brandes; R. J. Haug;

  • 作者单位

    Department of Physics, Harvard University, 17 Oxford Street, Cambridge, MA 02138rnDepartment of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 12116 Prague, Czech Republic;

    Institut fuer Festkoerperphysik, Leibniz Universitaet Hannover, D 30167 Hannover,Germany;

    Institut fuer Festkoerperphysik, Leibniz Universitaet Hannover, D 30167 Hannover,Germany;

    Department of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 12116 Prague, Czech Republic;

    Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Prague, Czech Republic;

    Institut fuer Theoretische Physik, Technische Universitaet Berlin, D 10623 Berlin, Germany;

    Institut fuer Festkoerperphysik, Leibniz Universitaet Hannover, D 30167 Hannover,Germany;

  • 收录信息 美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cumulants; distributions; electron transport; noise and fluctuations;

    机译：累积量分布;电子传输噪音和波动;

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