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.

该项目的主要焦点是多自由度量子系统中的热化问题，即：在什么条件下、在什么意义上，在初始瞬态消失后，这些系统可以用微正则系综来描述？在此一般背景下，我们的目标是通过分析方法更好地理解初始条件的作用。具体来说，我们将探讨一些特别自然的或先前确定的初始条件类别是否遵循一些基本属性，这些属性的有效性是基于基本物理基础的。一个补充目标是对实验准备过程本身进行建模，然后进一步分析由此获得的初始条件在实际感兴趣的后续动态下的时间演变。