Relaxation dynamics following a quench in integrable and almost integrable quantum chains

可积和几乎可积量子链淬灭后的弛豫动力学

• 批准号: 421428310
• 负责人: Professor Dr. Jesko Sirker
• 金额: --
• 依托单位: Department of Physics and Astronomy
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2019
• 资助国家: 德国
• 起止时间: 2018-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/421428310?language=en
• 关键词: Relaxation; dynamics; following; quench; integrable

Understanding the dynamics of many-body quantum systems is an important goal in fundamental condensed matter research and sets the foundations for the development of novel quantum technologies. A special class of many-body quantum systems are so-called integrable models where many properties can be studied analytically. The obtained results are important benchmarks for numerical and approximate methods. Integrable models can, furthermore, be realized - up to small perturbations - in cold atomic gases allowing for a direct experimental test. This project will enhance our knowledge about non-equilibrium dynamics in integrable models by studying so-called quantum quenches using both analytical and numerical techniques. One of the main goals is a better understanding of the relaxation dynamics at long times towards the equilibrium state which is described by a generalized Gibbs ensemble.

理解多体量子系统的动力学是基础凝聚态研究的一个重要目标，并为新量子技术的发展奠定了基础。一类特殊的多体量子系统是所谓的可积模型，其中许多性质可以解析地研究。所得结果是数值和近似方法的重要基准。此外，可积模型可以实现-小扰动-在冷原子气体允许直接实验测试。这个项目将通过使用分析和数值技术研究所谓的量子猝灭来增强我们对可积模型中非平衡动力学的了解。其中一个主要目标是更好地了解弛豫动力学在很长一段时间内对平衡状态，这是广义吉布斯系综描述。