  Optical modes possessing orbital angular momentum constitute a very useful
platform for experimental studies on the quantum limits of Thermodynamics.
Here, we present experimental results for entangled photon pairs subjected to
thin turbulence simulated with spatial light modulators and interpret them in
the context of the generalized Jarzysnki's fluctuation relation. By holographic
measurement of the orbital angular momentum, we obtain the work distribution
produced by the turbulence for single and double-sided turbulence channels. The
use of the Klyshko's advanced wave picture allows us to interpret the
experimental scheme as two-way processes in a fully quantum picture.
