  We consider a harmonically bound Brownian particle coupled to two distinct
heat reservoirs at different temperatures. We show that the presence of a
harmonic trap does not change the large deviation function from the case of a
free Brownian particle discussed by Derrida and Brunet and Visco. Likewise, the
Gallavotti-Cohen fluctuation theorem related to the entropy production at the
heat sources remains in force. We support the analytical results with numerical
simulations.
