Abstract: |
We have measured the high frequency third cumulant of voltage quantum
fluctuations across a tunnel junction in the high frequency regime
hf » eV » kT. 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. We obtain that the third cumulant of current fluctuations
is simply given by e^2I, independent of f. 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. We discuss how this result raises
the problem of how to calculate high order correlators in quantum mechanics for a given experimental setup.
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