Stochastic dynamics of a Josephson junction threshold detector
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We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving noise in both the overdamped and underdamped limit. We apply our general results to a Josephson junction detector measuring the electron counting statistics of a mesoscopic conductor. Activation rate dependence on the third current cumulant includes an additional term originating from the back-action of the measurement circuit.
5 pages, 2 figures, discussion of experiment added, typos corrected
5 pages, 2 figures, discussion of experiment added, typos corrected