Quantum Thermodynamics of Parametrically Driven Linear Systems*

Thermodynamics theory resides the assumption that interacting systems can be clearly defined and distinguished from each other. The physical justification of weak coupling limit in the theory of open quantum systems and quantum thermal machines relies on the assumption that the region in contact is so small compare to the whole volume, that its mixing or any boundary or interface effect may be completely neglected. To explore the situation when the system and the bath interaction is not weak, the power extraction in a parametrically driven linear systems is analytically derived in the strong coupling regime. Heat rectification in this regime is possible as long as the thermal inertial is overcome by the parametric driving.