We propose to measure the high frequency third cumulant of voltage quantum fluctuations across a tunnel junction in the high frequency regime ħω ≫ eV ≫ kBT. This quantity is obtained by correlating the fluctuations of the high frequency noise power with the low frequency part of the fluctuating voltage. In this regime, the high frequency voltage/current fluctuations are due to zero point motion of electrons. It has been predicted that the third cumulant of current fluctuations is simply given by e2I, independent of ω. Despite its classical look, this result expresses that the fluctuations of the square of the high frequency current due to vacuum fluctuations are correlated with the low frequency fluctuating current. It raises the problem of how to calculate high order correlators of a quantum signal for a given experimental setup.
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机译：我们建议在高频状态ħω≫ eV≫ k B T中测量隧道结两端电压量子涨落的高频第三累积量。通过使高频噪声功率的波动与波动电压的低频部分相关联来获得该量。在这种情况下，高频电压/电流波动是由于电子的零点运动引起的。据预测，电流波动的第三累积量可以简单地由e 2 I给出，与ω无关。尽管具有经典外观，但该结果表示，由于真空波动而引起的高频电流平方的波动与低频波动电流相关。这就提出了在给定的实验设置下如何计算量子信号的高阶相关器的问题。
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