Phys. Rev. Lett. 98, 136803 (2007) [4 pages]Stochastic Dynamics of a Josephson Junction Threshold DetectorReceived 30 November 2006; published 29 March 2007 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. The activation rate dependence on the third current cumulant includes an additional term originating from the backaction of the measurement circuit. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.136803
DOI:
10.1103/PhysRevLett.98.136803
PACS:
73.23.−b, 05.40.−a, 72.70.+m, 74.50.+r
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