论文标题
优化热量
Optimizing thermalizations
论文作者
论文摘要
我们基于连续热疗法的概念提出了一种严格的方法，以通过与热浴的弱相互作用来表征可从给定初始状态访问的量子系统的完整能量职业。可以部署该算法来解决异常设置中的复杂优化问题，并返回明确的基本控制序列实现最佳转换。我们通过在冷却，工作提取和催化的背景下找到最佳协议来说明这一点。相同的工具还允许人们定量评估记忆效应在热力学方案的性能中所起的作用。我们在尺寸$ d \ leq 7 $的系统的笔记本电脑上获得了详尽的解决方案，但是使用启发式方法可以访问更高的$ d $。
We present a rigorous approach, based on the concept of continuous thermomajorisation, to algorithmically characterise the full set of energy occupations of a quantum system accessible from a given initial state through weak interactions with a heat bath. The algorithm can be deployed to solve complex optimization problems in out-of-equilibrium setups and it returns explicit elementary control sequences realizing optimal transformations. We illustrate this by finding optimal protocols in the context of cooling, work extraction and catalysis. The same tools also allow one to quantitatively assess the role played by memory effects in the performance of thermodynamic protocols. We obtained exhaustive solutions on a laptop machine for systems with dimension $d\leq 7$, but with heuristic methods one could access much higher $d$.
