Algebraic and computational approaches for classical and quantum systems

经典和量子系统的代数和计算方法

• 批准号: DP180101040
• 负责人: Prof Vladimir Bazhanov
• 金额: $ 26.03万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180101040
• 关键词: Algebraic; computational; approaches; classical; quantum

This project aims to use a combination of algebraic, analytic and numerical techniques to develop computational algorithms to address a range of notoriously challenging problems in the mathematical sciences. These problems involve predicting the large-scale behaviour of strongly interacting classical and quantum spin systems originating in condensed matter physics, including models of relevance to proposals for topological quantum computation and the latest progress using field theory. The project outcomes will involve advances in understanding these systems from new exact results and high precision numerical estimates.

这个项目的目的是使用代数、分析和数值技术的组合来开发计算算法，以解决数学科学中一系列臭名昭著的挑战性问题。这些问题包括预测源自凝聚态物理的强相互作用经典和量子自旋系统的大规模行为，包括与拓扑量子计算建议相关的模型，以及使用场理论的最新进展。项目成果将包括通过新的准确结果和高精度的数字估计来理解这些系统的进展。