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arXiv · cond-mat/0611783

Stochastic dynamics of a Josephson junction threshold detector

Eugene V. Sukhorukov·Andrew N. Jordan
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Abstract

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.

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Eugene V. Sukhorukov, Andrew N. Jordan. 2006-12-19. Stochastic dynamics of a Josephson junction threshold detector. https://doi.org/10.1103/physrevlett.98.136803

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