Quantum thermo-dynamical construction for driven open quantum systems

Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the principles in terms a set postulates we obtain thermodynamically consistent master equation. Following an axiomatic approach, base analysis on autonomous description, incorporating drive as large transient control system. In appropriate physical limit, derive semi-classical where is incorporated time-dependent term system Hamiltonian. The transition to description reflects conservation global coherence highlights crucial role initial state. We demonstrate theory by analyzing qubit controlled single bosonic mode coherent