Semiclassical typicality in open quantum systems

该项目的目标是使用(有限)复合系统的量子动力学的半经典公式，在波函数水平上描述和理解适当接触热浴的系统的平衡动力学。我们将专注于连续变量系统，与自旋系统不同，每个单一自由度都已经有一个无限大的希尔伯特空间。利用含时半经典(混合)方法，具有100个以上自由度的组合系统可以并将被显式处理。不同的成熟措施将允许调查平衡动力学的时间尺度及其对系统大小的依赖。

The goal of the project is to describe and to understand the equilibration dynamics of a system proper in contact with a heat bath on the wavefunction level using a semiclassical formulation of the quantum dynamics of the (finite) composite system. We will focus on systems of continuous variables where, in contrast to spin systems, every single degree of freedom already has an infinitely large Hilbert space. Using the time-dependent semiclassical (hybrid) approach, composite systems with more than 100 degrees of freedom can and will be treated explicitely. Different well established measures will allow to investigate the time scale of the equilibration dynamics and its dependence on system size.