  We investigate the thermodynamic behavior of open quantum systems through the
Hamiltonian of Mean Force, focusing on two models: a two-qubit system
interacting with a thermal bath and a Jaynes-Cummings Model without the
rotating wave approximation. By analyzing both weak and strong coupling
regimes, we uncover the impact of environmental interactions on quantum
thermodynamic quantities, including specific heat capacity, internal energy,
and entropy. Further, the ergotropy and entropy production are computed. We
also explore the thermodynamic uncertainty relation, which sets an upper bound
on the signal-to-noise ratio.
