Title: Geometric Fluctuation Theorem,
Abstract: We derive an extended fluctuation theorem for a geometric pumping in a
spin-boson system under a periodic control of environmental temperatures by
using a Markovian quantum master equation. We perform the Monte-Carlo
simulation and obtain the current distribution, the average current and the
fluctuation. Using the extended fluctuation theorem we try to explain the
results of our simulation. The fluctuation theorem leads to the fluctuation
dissipation relations but the absence of the conventional reciprocal relation.