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Bunching-antibunching crossover in a double S/N/N capacitively coupled single-electron transistor

机译:在电容耦合单电子晶体管的双S / N / N中的串联 - 抗静交叉

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摘要

We present a Schwinger-Keldysh scheme theory for full counting statistics applicable to the solid-state entangler, which consists of two coupled superconductingormal-conductingormal-conducting capacitively coupled single-electron transistors (double S/N/N C-SET). We focus on the case when the superconducting gap energy is larger than the charging energy since flexible control of entanglement information can be expected by the charging effect for various bias conditions, and we study the double S/N/N C-SET with and without dissipative environment. We derive the cumulant generation function for the double S/N/N C-SET under current continuity conditions, from which arbitrary order of current noise cumulants are obtained. We explicitly show that the synchronized Coulomb oscillation, a celebrated experimental finding by Hofstetter et al. [Nature (London) 461, 960 (2009)], originate from the crossed Andreev current conveying quantum entanglement. We also investigate current in the double S/N/N C-SET, its current components, and the resulting cross-correlation of current noise S_(LR)(ω = 0) in the superconducting subgap region. It is shown that the bunching-antibunching nature strongly depends on the relative location of the Coulomb gap regions for the relevant current components since the bunching-antibunching nature is determined by the competition between the contributions of relevant current components. Depending on the bias conditions for each of the two C-SETs, S_(LR)(ω = 0) exhibits a sign crossover from positive (bunching) to negative (antibunching), which is followed by restoration to bunching correlations. The effect of the dissipative environment tends to reduce S_(LR)(ω = 0) because of a reduction in relevant currents. Although crossover and restoration become less conspicuous, the way the bunching-antibunching nature appears is essentially the same as in the case of the inductive environment.
机译:我们介绍了Schwinger-Keldysh计划理论,用于适用于固态纠缠的完全计数统计数据,其包括两个耦合的超导/常电导/常规电容电容耦合单电子晶体管(双S / N / N C集合)。我们专注于超导间隙能量大于充电能量,因为可以通过对各种偏置条件的充电效果来预期缠绕信息的灵活控制,并且我们研究了与且没有的双S / N / N C集合耗散环境。我们在当前连续性条件下导出了双S / N / N C集合的累积代函数,从中获得了当前噪声累累的任意顺序。我们明确表明同步库仑振荡,Hofstetter等人的庆祝实验发现。 [性质(伦敦)461,960(2009)],源于交叉的AndreeV电流输送量子纠缠。我们还研究了超导副中的双S / N / N C集合,其电流分量和所得到的电流噪声S_(LR)(ω= 0)的电流横相关。结果表明,群抗静性质强烈地取决于Coulomb间隙区域的相关电流部件的相对位置,因为通过相关电流组分的贡献之间的竞争确定了聚集的抗静性。取决于两个C集合中的每一个的偏置条件,S_(LR)(ω= 0)呈现从正(束缚)到负(抗卷绕)的符号交叉,然后恢复到批量相关性。由于相关电流的减少,耗散环境的效果趋于降低S_(LR)(ω= 0)。虽然交叉和恢复变得较小,但是聚集抗振性的方式出现的方式与感应环境的情况基本相同。

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  • 来源
    《Physical review》 |2020年第24期|245312.1-245312.20|共20页
  • 作者单位

    Graduate School of Physics Nara Women's University Kitauoyanishi-machi Nara 630-8506 Japan;

    Faculty of Health Science Butsuryo College of Osaka Sakai Osaka 593-8328 Japan;

    Graduate School of Physics Nara Women's University Kitauoyanishi-machi Nara 630-8506 Japan;

    Graduate School of Physics Nara Women's University Kitauoyanishi-machi Nara 630-8506 Japan;

    Graduate School of Physics Nara Women's University Kitauoyanishi-machi Nara 630-8506 Japan;

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