Quantum dynamics of correlated quantum systems

由于条件的突然变化或周期性的强迫，导致量子系统失去平衡的动力学研究一直是人们非常感兴趣的研究领域。平衡量子系统的许多技术和范例必须重新审视，必须找到新的工具来研究这些系统。量子纠缠的传播，守恒量的命运，在这种背景下是具有挑战性的问题。这对量子信息处理的影响可能是深远的。该项目将研究具有稳健拓扑结构的系统的量子动力学，以研究对称性和拓扑性质是否可以被保留或是否将被破坏。该项目的第一阶段将在拓扑量为量子化霍尔电导的二维情况下研究陈氏绝缘子的动力学。局部和无序系统中的拓扑性质的签名是有待解决的问题。接下来将研究具有其他拓扑不变量的不同维度的系统。

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.