Semiclassical analysis and Open Quantum Systems

开放量子系统是与环境接触的量子系统，并且其中环境的影响通常使用像Lindblad方程的主方程来描述。半经典分析在研究量子力学的许多应用方面已经是非常成功的工具，但在开放量子系统的研究中还没有得到广泛的应用，丹尼尔斯皮德的博士项目将集中在这一领域。特别是，他将调查半经典hypoellipticity，霍曼德矢量场和退相干之间的关系，与发展的基础，为一般的定量和定性理论的退相干连续变量量子系统的目标。

Open quantum systems are quantum systems which are in contact with an environment, and where the influence of the environment is typically described using a master equation like the Lindblad equation. Semiclassical analysis has been a very successful tool in studying many applications of quantum mechanics, but it has not yet been widely used in the study of open quantum systems, and the Phd project of Daniel Speed will focus on that area. In particular he will investigate the relations between semiclassical hypoellipticity, Hormander vector fields and decoherence, with the goal of developing the foundations for a general quantitative and qualitative theory of decoherence for continuous variable quantum systems.