Coordination Funds

协调基金

• 批准号: 281509784
• 负责人: Professor Dr. Andreas Kluemper
• 金额: --
• 依托单位: Fachgruppe Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2015
• 资助国家: 德国
• 起止时间: 2014-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/281509784?language=en
• 关键词: Coordination; Funds

The goal of our research group is the development of many-body standard reference systems with known static and dynamical correlation functions at arbitrary temperature, on the lattice and in the continuum, very much like Bosonization provides standard reference systems near T = 0, namely conformal field theories with central charges c = 1 and known static low-temperature properties.Specifically, we plan to develop further the theory of exact correlation functions of Heisenberg spin chains and their relatives. We intend to address features arising in the continuum limit of integrable lattice models, e.g. modified non-linear Tomonaga-Luttinger liquids, conformal field theories with extended symmetries and logarithmic conformal field theories. In each of these areas, with strong interest to large communities, many fundamental questions are still open.There is a multitude of applications in various fields of theoretical and experimental physics, comprising e.g. exotic transport in solids or the dynamics of ultra-cold quantum gases in traps.In our individual research we applicants have gathered strong expertise in the study of solvable model systems. The coordination of our expertise bears the prospect of obtaining qualitatively different new results. In recent years, developments took place in the fields of cold atomic gases, quantum information theory, non-equilibrium systems and gauge- string dualities that enabled the identification of core questions which can be answered by techniques developed or yet to be developed by the applicants. This is where the coordinated research of the applicants will produce genuinely new results.

我们研究小组的目标是在任意温度下，在晶格上和连续体中，开发具有已知静态和动态相关函数的多体标准参考系统，非常类似于玻色化在T = 0附近提供标准参考系统，即具有中心电荷c = 1和已知静态低温特性的共形场论。具体来说，我们计划进一步发展海森堡自旋链及其相关链的精确关联函数理论。我们打算解决的功能所产生的连续极限的可积晶格模型，例如修改后的非线性Tomonaga-Luttinger液体，共形场理论与扩展的对称性和对数共形场理论。在这些领域中的每一个领域，都有许多基本问题仍然是开放的，这些问题引起了广大社区的强烈兴趣。在理论和实验物理的各个领域都有大量的应用，包括例如固体中的奇异输运或陷阱中超冷量子气体的动力学。在我们的个人研究中，我们的申请人在可解模型系统的研究方面积累了丰富的专业知识。协调我们的专门知识，有前景取得质的不同的新成果。近年来，在冷原子气体、量子信息理论、非平衡系统和规范弦对偶性等领域取得了进展，这些进展使得能够确定可以通过申请人开发或尚未开发的技术来回答的核心问题。这是申请人的协调研究将产生真正的新成果。