Thermalization in isolated quantum many-body systems: modeling the initial conditions

该项目的主要焦点是具有多自由度的量子系统中的热化问题，即：在初始瞬态消失后，在何种条件下以及在何种意义上，这样的系统可以用微正则系综来描述？在这一总体背景下，我们的目标是通过分析方法更好地理解初始条件的作用。具体地说，我们将探讨一些特别自然的或先前建立的初始条件类别是否服从一些基本性质，其有效性是在基本物理基础上预期的。一个补充的目标是对实验准备过程本身进行建模，然后进一步分析所获得的初始条件在后续实际兴趣动态下的时间演化。

The main focus of the project is on the issue of thermalization in quantum systems with many degrees of freedom, that is, on the questions: Under which conditions and in which sense can such systems be described by a microcanonical ensemble after the initial transients have died out? Within this general context, our objective is to better understand the role of the initial conditions by means of analytical methods. Specifically, we will explore whether some particularly natural or previously well-established classes of initial conditions obey some basic properties, whose validity is expected on fundamental physical grounds. A complementary goal is to model the experimental preparation process itself, and then to further analyze the temporal evolution of the so obtained initial conditions under the subsequent dynamics of actual interest.