Coordination Funds

我们研究小组的目标是在任意温度下，在晶格和连续介质中，开发具有已知静态和动态相关函数的多体标准参照系，非常像玻色子化提供了T = 0附近的标准参照系，即中心电荷c = 1和已知静态低温性质的共形场论。具体而言，我们计划进一步发展海森堡自旋链及其相关链的精确相关函数理论。我们打算讨论在可积晶格模型的连续体极限中出现的特征，例如改进的非线性Tomonaga-Luttinger液体，扩展对称的共形场论和对数共形场论。在这些领域中，由于大型社区的强烈兴趣，许多基本问题仍未解决。在理论和实验物理的各个领域有大量的应用，包括例如固体中的外来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中积累了强大的专业知识。我们的专业知识的协调有希望获得质量不同的新结果。近年来，在冷原子气体、量子信息理论、非平衡系统和规范弦二象性等领域取得了一些进展，这些进展使人们能够确定一些核心问题，这些问题可以用申请人已经开发或尚未开发的技术来回答。这是申请人的协调研究将产生真正的新结果的地方。

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.