Dynamical fluctuations in open quantum systems, studied via unravelled dynamics

对于与其环境相互作用的量子系统，一个常见的理论描述是密度矩阵的林德布莱德方程。然而，要完整地描述这些系统——包括它们的动态波动——还需要更详细的描述。一种可能是解开动力学，这是一个随机过程，捕捉系统及其环境的联合波动。像亚稳态这样的动力学现象已经通过林德布莱德方程进行了研究，但迄今为止还没有在展开水平上的描述。这个项目将调查更多的关于解开的现象的见解，以及林德布拉德和解开的描述之间的关系。

For quantum systems that interact with their environment, a common theoretical description is the Lindblad equation for the density matrix. However, for a full description of these systems -- including their dynamical fluctuations -- a more detailed description is required. One possibility is the unravelled dynamics, which is a stochastic process that captures the joint fluctuations of the system and its environment. Dynamical phenomena such as metastability have been studied through the Lindblad equation, but descriptions at the unravelled level are absent so far. This project will investigate the additional insights into the phenomena that are available by unravelling, and the relationships between Lindblad and unravelled descriptions.