Assessing the impact of imperfect control in quantum thermodynamics

阅读项目细节的EPSRC工作人员将试图确定该项目属于我们的哪些研究领域(可能不止一个)。为了帮助他们做到这一点，提供的项目细节应该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(学生实际上将做什么)；研究的新的工程和/或物理科学内容(将其置于EPSRC的职权范围内的科学)。如果你认为你知道EPSRC的哪些研究领域与该项目相关，那么包括这一点将是有帮助的。项目描述应该写得让受过教育的非专业人士能够理解，并且任何缩略语都应该定义。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。我们将探索如何使健壮的控制协议，如绝热的捷径，可以针对其应用中的缺陷，例如由于控制信号的幅度和相位的不可控波动而产生的缺陷。我们将使用主方程技术和随机分解来模拟噪声控制下热机和制冷的量子热力学循环。全计数统计技术将扩展到噪声控制情况，以计算循环功率、效率及其方差等热力学指标。我们将应用我们的发现来建议新的量子控制协议，以在存在不完全控制限制的情况下优化这些热力学度量。

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.