Heat and Work Counting Statistics with the Reaction Coordinate Mapping and TEMPO

该博士旨在使用开放量子系统理论中的“反应坐标映射”（RCM）和克里思（时间演化矩阵乘积算子）来计算量子热力学中热量和功的完整计数统计。热和功是量子力学中的随机量，需要通过概率分布来定义。RCM是一种解析映射，它重新定义了“系统”和“浴”之间的边界，而克里思是一种数值精确的方法，这两种方法都可以用来研究强耦合（非马尔可夫）状态下开放量子系统的动力学。这两种方法可以与“两点测量协议”结合使用，以找到强耦合到浴的开放量子系统之间的热量和功传递的完整计数统计。

This PhD aims to use the 'reaction coordinate mapping' (RCM) from the theory of open quantum systems, and TEMPO (Time-Evolving Matrix Product Operator) to calculate the full counting statistics of heat and work in quantum thermodynamics. Heat and work are stochastic quantities in quantum mechanics, requiring them to be defined through a probability distribution. The RCM is an analytic mapping which redefines the boundary between the 'system' and 'bath', while TEMPO is a numerically exact method, both of which can be used to study the dynamics of open quantum systems in the strong coupling (non-Markovian) regime. These two methods can be used in conjunction with the 'two point measurement protocol' to find the full counting statistics of heat and work transfer between an open quantum system that is strongly coupled to a bath.