Quantum work-fluctuation theorem: Exact case study for a perturbed oscillator

We analytically explore the fluctuation of the work-induced entropy production of an externally perturbed quantum harmonic oscillator interacting with several reservoirs. The quantum fluctuation of the work amounts to a non-Gaussian fluctuation of the entropy production, which interpolates the Gaussian and the Poissonian distributions at high- and low-temperature regimes. Also, it is shown that the corresponding fluctuation theorem symmetry is rigorously satisfied.