Relaxation dynamics of isolated many-body quantum systems: Typical behavior for a preset initial value of an observable or in the presence of additional conserved quantities.

孤立多体量子系统的弛豫动力学：可观测量的预设初始值或存在其他守恒量的典型行为。

• 批准号: 321992051
• 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
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/321992051?language=en
• 关键词: Relaxation; dynamics; isolated; many; body

We explore the quantum mechanical relaxation dynamics of systems with a large but finite number of degrees of freedom, which are prepared in a non-thermal initial state and which are strictly isolated from the rest of the world. Our first objective is to show that the overwhelming majority of initial states, featuring a common expectation value for any given observable, will also yield very similar expectation values for an arbitrary second observable at any later instant of time. Our second objective is to establish a universal quantitative prediction about typical relaxation properties of so-called integrable systems, exhibiting additional conserved quantities on top of the system energy.

我们探讨了具有大量但有限数量的自由度的系统的量子力学弛豫动力学，这些系统是在非热初始状态下制备的，并且与世界其他地方严格隔离。我们的第一个目标是表明，绝大多数的初始状态，具有一个共同的期望值为任何给定的观察，也将产生非常相似的期望值为任意第二个观察在任何稍后的时刻。我们的第二个目标是建立一个通用的定量预测典型的松弛特性的所谓的可积系统，表现出额外的守恒量的顶部的系统能量。

项目成果

Dynamical typicality of isolated many-body quantum systems.

孤立多体量子系统的动态典型性

• DOI: 10.1103/physreve.97.062129
• 发表时间: 2018
• 期刊: Physical review. E
• 作者: P. Reimann

Dynamical Typicality Approach to Eigenstate Thermalization.

本征态热化的动态典型性方法

• DOI: 10.1103/physrevlett.120.230601
• 发表时间: 2018
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: P. Reimann

Full expectation-value statistics for randomly sampled pure states in high-dimensional quantum systems.

高维量子系统中随机采样纯态的完整期望值统计

• DOI: 10.1103/physreve.99.012126
• 发表时间: 2019
• 期刊: Physical review. E
• 作者: P. Reimann;J. Gemmer
• 通讯作者: J. Gemmer

Typical Relaxation of Isolated Many-Body Systems Which Do Not Thermalize.

• DOI: 10.1103/physrevlett.118.190601
• 发表时间: 2017-05
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: B. N. Balz;P. Reimann