Theory of quantum matter in and out of equilibrium

这位学生[塞缪尔·加勒特]将学习量子物质平衡和非平衡理论中的一些热门问题。在初始阶段，他的工作将集中在混沌量子多体系统的简单晶格模型上。在以后的阶段，他的工作可能包括对自旋液体的研究。这项工作的近期目标是使用易于分析的模型和数值计算来检验遍历热化假说的有效性和局限性。一个特定的目标是将算符扩散现象与本征态关联联系起来，并发现是否有潜在的测量协议可以在实验中暴露这些关联。长期目标可能包括从理论上理解几何受阻磁体的非弹性中子散射实验中自旋液体相的实验特征。这项工作解决了EPSRC大挑战的主题：浮现和远离平衡的物理。它属于物理科学研究主题，涉及冷原子和分子以及凝聚态物质：磁性和磁性材料等研究领域中出现的问题。目前，牛津大学以外的公司或合作者都没有参与这一项目。

The student [Samuel Garratt] will study topical problems in the theory of quantum matter in and out of equilibrium. In the initial phase, his work will focus on simple lattice models of chaotic quantum many-body systems. In later phases, his work may include studies of spin liquids.The near-term aim of the work is to use analytically tractable models and numerical calculations to examine the validity and limitations of the Ergodic Thermalisation Hypothesis. A specific objective is to relate the phenomenon of operator spreading to eigenstate correlations, and to discover whether there are potential measurement protocols that would expose these correlations in experiment.Longer-term objectives may include understanding theoretically the experimental signatures of spin liquid phases as studied in inelastic neutron scattering experiments of geometrically frustrated magnets.The work addresses the EPSRC Grand Challenge theme of Emergence and Physics Far from Equilibrium. It is within the Physical Sciences research theme and relates to questions that arise in the research areas of Cold atoms and molecules, and of Condensed matter: magnetism and magnetic materials.There are currently no companies or collaborators outside Oxford University involved in this project.