Dynamical Symmetries and Entanglement growth

动态对称性可以阻止多体量子系统的平衡。因此，对于封闭系统，它们可能导致违反本征态热化定理，而对于开放系统，非遍历动力学可以遵循。这个项目的重点是非平衡量子动力学的可观察的结果，随之而来的系统与动态对称。具体来说，作为第一步，博士生将考虑在动态对称性存在下纠缠的增长，目的是找到允许识别和表征动态对称性的独特特征。这将提供见解，如何非平凡的结构动力学阶段的物质可以出现在非平衡动力学诱导，如驱动或耗散。这个研究项目正好属于EPSRC的大挑战“涌现和远离平衡的物理”。它将提供深入了解动态对称性的作用，作为复杂系统中有序非平衡相出现的组织原理。

Dynamical symmetries can prevent a many body quantum system from equilibrating. For closed systems they can thus lead to a violation of the eigenstate thermalization theorem and for open system non-ergodic dynamics can follow. This project is focussed on observable consequences of the non-equilibrium quantum dynamics ensuing in systems with dynamical symmetries. Specifically, as a first step, the DPhil student will consider the growth of entanglement in the presence of dynamical symmetries with the aim of finding unique features that allow to identify and characterize dynamical symmetries. This will provide insights into how non-trivial structured dynamical phases of matter can emerge in non-equilibrium dynamics induced e.g. by driving or dissipation. This research project falls squarely into the EPSRC grand challenge "Emergence and Physics Far From Equilibrium". It will provide insights into the role of dynamical symmetries as organising principles for the emergence of ordered non-equilibrium phases in complex systems.