  We introduce a family of Generalized Continuous Maxwell Demons (GCMDs)
operating on idealized single-bit equilibrium devices that combine the
single-measurement Szilard and the Continuous Maxwell Demon protocols. We
derive the cycle-distributions for extracted work, information-content and
time, and compute the power and information-to-work efficiency fluctuations for
the different models. We show that the efficiency at maximum power is maximal
for an opportunistic protocol of continuous-type in the dynamical regime
dominated by rare events. We also extend the analysis to finite-time work
extracting protocols by mapping them to a three-state GCMD. We show that
dynamical finite-time correlations in this model increase the
information-to-work conversion efficiency, underlining the role of temporal
correlations in optimizing information-to-energy conversion.
