New developments in correlation functions of integrable lattice models

涉及许多粒子的物理系统往往不能明确地求解。相反，人们只能依靠近似方法或数值方法。对于一种称为可积系统的特定类型，存在特定的数学结构和对称性，以便于精确和明确的描述。大多数可积系统都是低维的，例如具有磁性自旋的一维耦合原子链。物理学家对计算这些自旋之间的相关性很感兴趣。一个特别的例子是找到两个相隔一定距离的自旋对齐的概率。这些信息允许人们对低维量子系统的磁性或输运特性做出预测。自旋链也可以作为量子信息和量子纠缠研究的玩具模型。近年来，对自旋链相关函数的数学结构的认识有了显著的进展。该提案旨在将该领域的一位国际领先专家带到英国，传播这些新发展，发起合作和新的研究项目。

Physical systems which involve many particles can often not be solved explicitly. Instead one has to rely either on approximate or numerical methods. For a certain type of systems, called integrable, there exist particular mathematical structures and symmetries which facilitate the exact and explicit description. Most integrable systems are low-dimensional, for instance a one-dimensional chain of coupled atoms with magnetic spin. Physicists are interested in computing correlations between these spins. One particular example is the probability to find two spins separated by a certain distance to be aligned. This information allows one to make predictions about magnetic or transport properties of low-dimensional quantum systems. Spin-chains serve also as toy models for quantum information and the study of quantum entanglement.In recent years there has been remarkable progress in the understanding of the mathematical structure of correlation functions for spin-chains. This proposal aims at bringing one of the international leading experts in this area to the UK to disseminate these new developments, initiate collaborations and new research projects.