  We experimentally realize quasistatic adiabatic processes using a single
optically-trapped micro- sphere immersed in water whose effective temperature
is controlled by an external random electric field. A full energetic
characterization of adiabatic processes that preserve either the position dis-
tribution or the full phase space volume is presented. We show that only in the
latter case the exchanged heat and the change in the entropy of the particle
vanish when averaging over many repetitions. We provide analytical expressions
for the distributions of the fluctuating heat and en- tropy, which we verify
experimentally. We show that the heat distribution is asymmetric for any
non-isothermal quasistatic process. Moreover, the shape of the distribution of
the system entropy change in the adiabatic processes depends significantly on
the number of degrees of freedom that are considered for the calculation of
system entropy.
