Entanglement Theory in Quantum Many-Body Systems

技术概述：该奖项支持量子多体物理和量子信息科学之间的理论研究和教育。该研究的一个主要推力是推进对量子多体系统中相关关系、涌现和纠缠之间关系的理解。量子信息理论中的概念将用于研究凝聚态系统是如何纠缠的。PI的目标是发展近藤杂质和自旋系统，以及流动费米子和玻色子系统的纠缠测量。PI还将研究纠缠、拓扑秩序和分数准粒子之间的联系。本研究的主要目标是提供多体量子系统中纠缠的定性和定量测量，并讨论其在冷原子系统和纳米结构中的可行控制。该奖项支持培养学生先进的理论方法，并使本科生参与前沿研究。非技术总结：该奖项支持理论研究和教育，将阐明两个快速发展的领域之间的联系：一个涉及如何使用量子力学状态进行计算，另一个涉及理解具有许多相互作用粒子的量子力学系统，如金属中导电的电子。由相互作用的电子组成的量子力学系统可以表现出突现现象，包括物质的新状态。其中值得注意的是磁性和超导性，其中一种材料能够导电而不损失。这项研究使在量子计算和凝聚态理论这两个背景下发展起来的思想得以交叉受精，并可能导致这两个领域的进步。这项研究是基础性的，为电子设备、信息技术和通信新技术的知识基础做出了贡献。该奖项支持培养学生先进的理论方法，并使本科生参与前沿研究。

TECHNICAL SUMMARY:This award supports theoretical research and education at the interface between quantum many-body physics and quantum information science. A major thrust of the research is to advance the understanding of the relationship between correlations in quantum many-body systems, emergence, and entanglement. Concepts in quantum information theory will be used to investigate how condensed matter systems are entangled. The PI aims to develop measures of entanglement in Kondo impurity and spin systems, as well as systems of itinerant fermions and bosons. The PI will also investigate the connections among entanglement, topological order, and fractional quasiparticles.The main goal of the research is to provide both qualitative and quantitative measures of entanglement in many-body quantum systems and to discuss its feasible control in cold atomic systems and in nanostructures. This award supports training students in advanced theoretical methods and involving undergraduates in research at the frontiers.NON-TECHNICAL SUMMARY:This award supports theoretical research and education that will elucidate connections among two rapidly evolving areas: one concerned with how to use quantum mechanical states for computation, and the other concerned with understanding quantum mechanical systems with many interacting particles, like the electrons that conduct electricity in a metal. Quantum mechanical systems of interacting electrons can exhibit emergent phenomena, including new states of matter. Notable among these are magnetism and superconductivity in which a material is able to conduct electricity without losses. The research enables a cross-fertilization of ideas that are developed in two contexts, quantum computation and condensed matter theory, and may lead to advances in both areas. This research is fundamental and contributes to the intellectual foundations of new technologies for electronic devices, information technology, and communication.This award supports training students in advanced theoretical methods and involving undergraduates in research at the frontiers.