  Information thermodynamics provides a framework for studying the effect of
feedback loops on entropy production. It has enabled the understanding of novel
thermodynamic systems such as the information engine which can be seen as a
modern version of `Maxwell's Daemon', whereby the feedback controller is acting
as a Daemon, processing information gained about the system in order to do
work. Here, we analyse a simple model of such an engine and provide a detailed
analysis of its fluctuation properties, including the large deviations of
information. We find an exact expression of the large deviation rate function
for a two-site version of our model, and provide an approximate analysis for
larger systems which is corroborated by simulation data.

Statistical Mechanics