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

孤立量子多体系统中的热化：初始条件建模

• 批准号: 502254252
• 负责人: Professor Dr. Peter Reimann
• 金额: --
• 依托单位: Arbeitsgruppe Theorie der Kondensierten Materie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/502254252?language=en
• 关键词: Thermalization; isolated; quantum; many; body

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.

该项目的主要重点是在量子系统的热化问题与多个自由度，也就是说，在这样的问题：在什么条件下，在何种意义上可以这样的系统所描述的微正则系综后，最初的瞬态已经消失？在这个大背景下，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以前建立良好的初始条件类是否服从一些基本性质，其有效性是预期的基本物理基础。一个互补的目标是模拟实验制备过程本身，然后进一步分析在随后的实际感兴趣的动态下所获得的初始条件的时间演变。