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Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise

A. A. Clerk
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Abstract

We discuss the counting statistics and current noise associated with the double Josephson quasiparticle resonance point in a superconducting single electron transistor. The counting statistics are in general phase-dependent, despite the fact that the average current has no dependence on phase. Focusing on parameter regimes where the counting statistics have no phase-dependence, we use a general relation first derived by MacDonald in 1948 to obtain the full frequency-dependent shot noise directly from the counting statistics, without any further approximations. We comment on problems posed by the phase-dependence of the counting statistics for the finite-frequency noise.

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A. A. Clerk. 2003-01-15. Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise. https://arxiv.org/abs/cond-mat/0301277

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