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

中文翻译：

---

驱动开放量子系统的量子热力学构造

驱动开放系统的量子动力学应该与量子力学和热力学原理兼容。通过根据一组假设制定热力学原理，我们获得了热力学一致的主方程。遵循公理化方法，我们基于自主描述进行分析，将驱动器合并为一个大型瞬态控制量子系统。在适当的物理极限下，我们推导出半经典描述，其中控制被合并为系统哈密顿量中的时间相关项。向半经典描述的过渡反映了全局相干性的守恒，并突出了相干性在初始控制状态中的关键作用。我们通过分析由处于相干状态的单一玻色子模式控制的量子位来证明该理论。