Phase transitions, criticality and non-trivial topological states in non-equilibrium driven-dissipative systems using analytical methods and tensor ne

使用分析方法和张量 ne 的非平衡驱动耗散系统中的相变、临界性和非平凡拓扑态

• 批准号: 2731618
• 金额: --
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2731618
• 关键词: Phase; transitions; criticality; non; trivial

The thesis will explore the classification of phase transitions, criticality and non-trivial topologicalstates in non-equilibrium driven-dissipative quantum systems. In particular, the thesis will focus onstrongly interacting light-matter systems such as exciton-polariton lattices which support rich phenomenasuch as high temperature Bose-Einstein condensation, superfluidity and quantum vortices.The thesis will characterise open driven-dissipative quantum systems by developing analytical techniques,such as renormalisation group, mean-field theory and Keldysh field theory, and the use ofcomputational simulations such as tensor network methods, specifically infinite 2D tensor networksiPEPS.

该论文将探讨非平衡驱动驱动量子系统中相变，关键性和非平凡性拓扑定种的分类。特别是，该论文将重点关注诸如激光型晶格之类的诸如激烈的光结晶系统，这些系统支持丰富的现象，例如高温玻璃体阳离子凝结，超流量和量子涡流。论文将通过开发开放式驱动的量子系统来表征开放式驱动的量子系统，例如，通过开发诸如统一性的肾脏理论，统一性的理论，统一性的理论，统一性的理论，均等理论，均等理论，均等理论，均等理论，统一性的理论，均等理论，统一的量子化系统，均等理论，统一的量子化技术，均等理论，统一性的量子技术，均等级别。张量网络方法，特别是无限的2D张量网络服务。