Geometric approaches to quantum many body problems

量子多体问题的几何方法

• 批准号: DE230100829
• 负责人: Dr Lucas Hackl
• 金额: $ 29.95万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-12-16 至 2026-12-16
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE230100829
• 关键词: Geometric; approaches; quantum; many; body

The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution and the characterisation of suitable quantum state families by their correlation structures.

该项目旨在利用微分几何和相关领域的结果来研究相互作用的多体量子系统的物理学。该项目期望在数学物理领域产生新的知识，并在量子信息、凝聚态物理和统计力学方面有广泛的应用。重点将在于开发用于有效模拟量子演化的变分方法以及通过相关结构表征合适的量子态族。