Assessing the impact of imperfect control in quantum thermodynamics

EPSRC的工作人员在阅读项目细节时将试图确定该项目适合我们的哪个研究领域（可能不止一个）。为了帮助他们做到这一点，提供的项目细节应尽可能具体并清楚地描述：项目试图解决的研究问题/项目的目标；回答这些问题的方法（学生实际会做什么）；研究的新颖工程和/或物理科学内容（将其置于EPSRC职权范围内的科学）。如果您认为您知道EPSRC的哪些研究领域与该项目相关，那么包含此信息将会有所帮助。项目描述应该写得能够被受过教育的外行理解，并且应该定义任何首字母缩略词。本项目旨在评估开放量子系统中热力学控制协议中随机噪声的影响。我们将探讨如何鲁棒控制协议，如绝热的捷径，可以使其应用中的缺陷，例如通过控制信号的幅度和相位的不可控波动产生。我们将使用主方程技术和随机展开来模拟热机和制冷在噪声控制下的量子热力学循环。全计数统计技术将扩展到噪声控制的情况下，以计算热力学指标，如循环功率，效率，和他们的方差。我们将应用我们的发现来提出新的量子控制协议，以在不完善的控制限制下优化这些热力学指标。

EPSRC staff reading the project details will be trying to determine which of our research areas the project fits into (it could be more than one). To help them do this, project details provided should be as specific as possible and clearly describe: the research questions the project is trying to address/the objectives of the project; the approach that will be taken to answer these questions (what the student will actually be doing); the novel engineering and/or physical sciences content of the research (the science that places it within EPSRC's remit).If you think you know which EPSRC research areas are relevant to the project, it would be helpful to include this. The project description should be written so as to be understandable by an educated lay-person and any acronyms should be defined. This project aims to assess the impact of random noise within thermodynamic control protocols in open quantum systems. We will explore how robust control protocols, such as shortcuts to adiabaticity, can be made to imperfections in their application, arising for example through uncontrollable fluctuations in the amplitude and phase of the control signals. We will use both master equation techniques and stochastic unravelings to model quantum thermodynamic cycles for both heat engines and refrigeration under noisy control. Full counting statistics techniques will be extended to noisy control situations to calculate thermodynamic metrics such as cycle powers, efficiencies, and their variances. We will apply our findings to suggest novel quantum control protocols to optimise these thermodynamic metrics in the presence of imperfect control restrictions.