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In this paper, we study the response of an inductive quantum circuit with discrete charge to a stochastic electromotive force. We show that the discreteness of the charge causes a totally different behavior of the quantum circuit with respect to the classical circuit case. In particular, we show that in the case of fluctuating phase of a harmonic voltage source, the mesoscopic circuit would generate a quantum current with the same frequency of the voltage source one. Possible practical applications of mesoscopic circuits could be modeling the Josephson junction as discussed in this paper.
Date of Publication: Jan. 2013