FOR 1807: Advanced Computational Methods for Strongly Correlated Quantum Systems

FOR 1807：强相关量子系统的高级计算方法

• 批准号: 207383564
• 金额: --
• 依托单位: Physikalisches Institut
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/207383564?language=en
• 关键词: 1807; Advanced; Computational; Methods; Strongly

Strong correlation effects in quantum many-particle systems have become increasingly important for a number of phenomena in domains, which include material physics, nanostructures and cold atoms in optical lattices. Significant advances in numerical methods have made it possible to treat models of these physically interesting and potentially technologically important systems theoretically without approximations. These methods include quantum Monte Carlo, the density-matrix renormalisation group and its generalisations and self-consistent dynamical cluster methods. The aim of this Research Unit is to form a coherent network of active researchers in Germany, Austria and Switzerland, who have made significant contributions to this progress in numerical methods, in order to share expertise and ideas as well as to develop efficient algorithms for the current generation of high-performance computing hardware. There is potential to make significant advances in long-standing fundamental problems in correlated quantum systems such as frustrated magnetism, doped Mott insulators and interacting bosonic and coupled fermion-boson systems.

量子多粒子系统中的强关联效应对材料物理、纳米结构和光学晶格中的冷原子等领域的许多现象变得越来越重要。数值方法的重大进展使人们有可能在理论上处理这些物理上有趣的和潜在的技术上重要的系统的模型，而无需近似。这些方法包括量子蒙特卡罗，密度矩阵重整化群及其推广和自洽动力学集群方法。这个研究单位的目的是形成一个连贯的网络活跃的研究人员在德国，奥地利和瑞士，谁作出了重大贡献，这一进展的数值方法，以分享专业知识和想法，以及开发高效的算法，为当前一代的高性能计算硬件。有可能在相关量子系统中长期存在的基本问题上取得重大进展，例如受抑磁性，掺杂的莫特绝缘体和相互作用的玻色子和耦合费米子-玻色子系统。