Fluctuation theorems for non-Markovian quantum processes

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences ofmemory effects on single realizations of nonequilibrium processes within an open system approach. The entropyproduction along single trajectories for forward and backward processes is obtained with the help of a recentlyproposed classical-like non-Markovian stochastic unravelling, which is demonstrated to lead to a correction of thestandard entropic fluctuation theorem. This correction is interpreted as resulting from the interplay between theinformation extracted from the system through measurements and the flow of information from the environmentto the open system: Due to memory effects, single realizations of a dynamical process are no longer independentand their correlations fundamentally affect the behavior of entropy fluctuations.