论文标题
关于自主量子系统的能量分析
On the energetic analysis of autonomous quantum systems
论文作者
论文摘要
在本文中，我们关注自主量子系统中的能量分析。为此，我们提出了一种新颖的形式主义，以动态描述相互作用的子系统之间的能量交流。从施密特分解方法中，我们确定有效的哈密顿人是表征局部内部能量的代表性操作员，其期望值满足了通常的热力学添加性概念。与当前使用的方法相反，此类过程以相等的地位对待子系统，并且不依赖任何近似值和其他假设，例如半经典描述，弱耦合方案，严格的能量保存和马尔可夫动力学。简而言之，我们的提议通过提供一种新的形式主义来为QT的发展做出贡献，这种形式主义不会遭受通常的限制性缺陷，并为将其他一般热力学数量定义到量子制度方面建立了新的和确切的途径。
In this thesis, we focus on the energetic analysis within autonomous quantum systems. To this aim, we propose a novel and general formalism for a dynamic description of the energy exchanges between interacting subsystems. From the Schmidt decomposition approach, we identify effective Hamiltonians as the representative operators for characterizing the local internal energies, whose expectation values satisfy the usual thermodynamic notion of energy additivity. In contrast to the currently used methodologies, such procedure treats the subsystems with equal footing and do not rely on any sort of approximations and additional hypotheses, e.g., semi-classical description, weak-coupling regime, strict energy conservation and Markovian dynamics. In short, our proposal contributes to the development of QT by providing a new formalism that does not suffer from the usual restrictive shortcomings and establishes a new and exact route for defining other general thermodynamic quantities to the quantum regime.
