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

使用反应坐标映射和 TEMPO 进行热量和功计数统计

• 批准号: 2431607
• 金额: --
• 依托单位: University of Bristol
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2431607
• 关键词: Heat; Work; Counting; Statistics; Reaction

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.

该博士旨在利用开放量子系统理论中的“反应坐标映射”（RCM）和TEMPO（时间演化矩阵乘积算子）来计算量子热力学中热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它们。 RCM是一种解析映射，重新定义了“系统”和“浴”之间的边界，而TEMPO是一种数值精确方法，两者都可以用于研究强耦合（非马尔可夫）体系中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，以找到与浴强耦合的开放量子系统之间热量和功传递的完整计数统计数据。