Dynamical Symmetries and Entanglement growth

动力学对称性可以阻止多体量子系统达到平衡。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，它们可能会导致非遍历动力学。这个项目的重点是在具有动力学对称性的系统中，非平衡量子动力学的可观测结果。具体来说，作为第一步，DPhil的学生将考虑在存在动力学对称性的情况下纠缠的增长，目的是找到允许识别和表征动力学对称性的独特特征。这将提供关于物质的非平凡结构动力学相如何在例如由驱动或耗散引起的非平衡动力学中出现的洞察。这项研究项目正好落入了EPSRC的重大挑战--《浮现与物理远离平衡》。它将为动力学对称性作为复杂系统中有序非平衡相出现的组织原则所起的作用提供见解。

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.