Quantum dynamics of correlated quantum systems

由于条件的突然变化或周期性强迫而使量子系统失去平衡的动力学研究，一直是研究的热点。平衡态量子系统的许多技术和范式必须重新审视，必须找到新的工具来研究这些系统。在这种背景下，量子纠缠的传播，守恒量的命运，都是具有挑战性的问题。量子信息处理的影响可能是深远的。该项目将研究具有鲁棒拓扑结构的系统的量子动力学，以研究对称性和拓扑特性是否可以保留或是否会被破坏。该项目的第一阶段将在二维拓扑量为量子化霍尔电导的情况下研究陈氏绝缘子的动力学。局部和无序系统中拓扑性质的特征是一个悬而未决的问题。这将是随后的研究系统在不同的维度与其他拓扑不变量。

The study of the dynamics of quantum systems driven out of equilibrium, by a sudden change in conditions or by periodic forcing, has been area of intense research interest. Many of the techniques and paradigms of quantum systems in equilibrium have to be re-revisited and new tools have to be found to study these systems. The spread of quantum entanglement, the fate of conserved quantities, are challenging questions in this context. The implications for quantum information processing can be profound. The project will study the quantum dynamics of systems with robust topological structure to investigate whether symmetries and topological properties can be preserved or whether they will be destroyed.The first stage of the project will investigate the dynamics of Chern insulators in two dimensions where the topological quantity is the quantized Hall conductance. Signatures of topological properties locally and in disordered systems are open questions. This will be followed investigation of systems in different dimensions with other topological invariants.