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We study single-electron transport through a double quantum dot (DQD)monitored by a capacitively coupled quantum point-contact (QPC) electrometer.We derive the full counting statistics for the coupled DQD - QPC system andobtain the joint probability distribution of the charges transferred throughthe DQD and the QPC consistent with the fluctuation theorem (FT). The systemcan be described by a master equation with tunneling rates depending of thecounting fields and satisfying a generalized local detailed-balance relation.Furthermore, we derive universal relations between the non-linear correctionsto the current and noise, which can be verified in experiment.

Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer