Stochastic dynamics of a Josephson junction threshold detector
Mesoscale and Nanoscale Physics
2007-05-23 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.cond-mat/0611783,
title = {Stochastic dynamics of a Josephson junction threshold detector},
author = {Eugene V. Sukhorukov and Andrew N. Jordan},
journal= {arXiv preprint arXiv:cond-mat/0611783},
year = {2007}
}
Comments
5 pages, 2 figures, discussion of experiment added, typos corrected