Developing a quantum thermodynamic theory for driven and heated spin systems.

量子热力学是一个新的研究领域，热力学是在小系统尺寸极限下进行研究的，在这种情况下，涨落变得不可忽略，系统与环境之间的弱耦合不能被假设，可能需要一个完全的量子力学描述[1]。该项目涉及应用量子热力学和开放量子系统领域的理论工具来模拟动力学、平衡状态和平衡时间标度的问题，这些问题是与环境强耦合的相互作用自旋集合。这个项目的目的是找到描述自旋动力学的解析方程，当它们被变化的磁场驱动并暴露在加热环境中（可能有多个温度）。然后，这些将用于量化量子力学和强耦合效应在磁化动力学和自旋长期稳定状态中的重要性

Quantum thermodynamics is a new research field, where thermodynamics is studied in the small-system size limit where fluctuations become non-negligible, weak coupling between system and environment cannot be assumed, and a fully quantum mechanical description may be needed [1]. This project is concerned with the application of theoretical tools from the fields of quantum thermodynamics and open quantum systems to the problem of modelling the dynamics, the equilibrium state, and the timescale of equilibration, of a collection of interacting spins that are strongly coupled to their environment. The aim of this project is to find analytical equations that describe the spin dynamics when they are driven by a changing magnetic field and exposed to a heated environment (with potentially multiple temperatures). These will then be used to quantify the importance of quantum mechanical and strong coupling effects in the magnetization dynamics and in the long-time steady state of the spins