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.

该项目旨在利用差异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。该项目预计将在数学物理学领域产生新知识，并在量子信息，凝结物理学和统计力学中广泛应用。关键重点将放在有效模拟量子进化和通过其相关结构对合适量子状态的表征的变异方法的发展。