CAREER: Transport and Non-Equilibrium Physics in Strongly Correlated Systems

技术摘要材料研究部和网络基础设施办公室为该职业奖提供资金。该奖项支持理论和计算研究，以及开发新的计算方法来研究强相关材料和纳米结构的非平衡行为的教育。特别是新的算法将进一步增强和扩展最近开发的时间相关密度矩阵重整化群方法的适用性，并使其能够用于解决非平衡强相关材料和纳米结构中的基本问题。PI将使用时间相关的密度矩阵重整化群方法来及时推进开放问题，这将解决基本问题，包括：什么是控制远离平衡输运的普遍标度定律？多体系统的相干动力学和退相干的基本过程是什么？可积性如何影响非平衡系统的热化和平衡？PI将专注于具体问题：+理解量子门操作中涉及的相关性，瞬态和时间尺度，用于量子信息处理；+理解在零温度和有限温度下存在自旋-电荷分离和近藤相关的一维和准一维强相关系统的平衡和非平衡行为-自旋非相干状态；+理解超冷原子气体中的时变现象，着眼于探索和实现物质的新量子相；+使用时变密度矩阵重整化群理解动量空间中的时变相关性，及其在计算强相关系统的谱性质中的应用。这个项目是计算密集型的，涉及开发新的数值技术。学生将学习有价值的分析和计算技能，这将更好地为他们加入精通技术的现代劳动力做好准备。PI将主动从代表性不足的群体中招收学生。在获奖过程中开发的计算工具将通过物理模拟算法和库项目免费提供和开源，该项目已经为科学界提供了巨大的利益。这些工具包括教育软件工具包的开发，该工具包包含可视化、数据分析、来源和模拟包。这些活动将有助于新一代计算凝聚态物理学家的形成。通过ALPS项目，PI将撰写一本关于计算凝聚态物质的书，组织研讨会和远程教学。此外，我们亦计划举办一系列公开讲座，以配合和加强学系的外展活动。材料研究部和网络基础设施办公室为该职业奖提供资金。该奖项支持具有强大计算风格的研究和教育，以促进对涉及随时间变化的量子力学状态的重要领域的基本理解。PI将开发新的计算方法，并利用它们在涉及比人类头发小10万倍的原子材料和结构的基本问题上取得进展。感兴趣的材料和结构包含电子，这些电子相互作用强烈，导致高度相关的运动。研究的重点是远离平衡的平静稳定状态到一个新的非平衡状态的电子。PI将探索的问题包括这种状态是如何放松回到平衡的宁静状态的，以及量子力学系统的基本特征是如何退化的。这是一项基础研究，可能会对开发更小、性能更高的电子设备产生影响。它也可能对新现象的发现产生影响，部分集中在如何准备和操纵量子力学状态来执行量子计算和新的电子设备功能。这个项目是计算密集型的，涉及开发新的数值技术。学生将学习有价值的分析和计算技能，这将更好地为他们加入精通技术的现代劳动力做好准备。PI将主动从代表性不足的群体中招收学生。在获奖过程中开发的计算工具将通过物理模拟算法和库项目免费提供和开源，该项目已经为科学界提供了巨大的利益。这些工具包括教育软件工具包的开发，该工具包包含可视化、数据分析、来源和模拟包。这些活动将有助于新一代计算凝聚态物理学家的形成。通过ALPS项目，PI将撰写一本关于计算凝聚态物质的书，组织研讨会和远程教学。此外，我们亦计划举办一系列公开讲座，以配合和加强学系的外展活动。

TECHNICAL SUMMARYThe Division of Materials Research and the Office of Cyberinfrastructure contribute funding to this CAREER award. This award supports theoretical and computational research, and education on developing new computational methods to study non-equilibrium behavior of strongly correlated materials and nanostructures. In particular new algorithms will be developed to further enhance and expand the applicability of a recently developed time-dependent density matrix renormalization group method and to enable its use to attack fundamental problems in nonequilibrium strongly correlated materials and nanostructures.The PI will use the time-dependent density matrix renormalization group method to advance timely open problems, that will address fundamental questions, including: What are the universal scaling laws governing far from equilibrium transport? What are the fundamental processes in the coherent dynamics and decoherence of many-body systems? How does integrability affect thermalization and equilibration of systems out of equilibrium? The PI will focus on the specific problems: + understanding the correlations, transients, and time-scales involved in the operation of quantum gates, for quantum information processing;+ understanding the equilibrium and non-equilibrium behavior of one-dimensional and quasi one-dimensional strongly correlated systems in the presence of spin-charge separation and Kondo correlations at zero temperature and at finite temperatures - the spin-incoherent regime; + understanding time-dependent phenomena in ultracold atomic gases, with an eye to probe and realize novel quantum phases of matter;+ understanding time-dependent correlations in momentum space using the time-dependent density matrix renormalization group, and its application to calculate spectral properties of strongly correlated systems. This project is computationally intensive and involves developing new numerical techniques. Students will learn valuable analytical and computational skills that will better prepare them to join the technologically savvy modern workforce. The PI will proactively recruit students from underrepresented groups. Computational tools developed in the course of the award will be made freely available and open-source through the Algorithms and Libraries for Physics Simulations project, which has already provided enormous benefits to the scientific community. These tools include the development of an educational software toolkit that contains visualization, data analysis, provenance, and simulation packages. These activities will contribute to the formation of new generations of computational condensed matter physicists. Through the ALPS project, the PI will contribute to a book on computational condensed matter, the organization of workshops, and teleteaching. A series of public lectures is also planned, to complement and enhance department outreach activities.NONTECHNICAL SUMMARYThe Division of Materials Research and the Office of Cyberinfrastructure contribute funding to this CAREER award. This award supports research and education with a strong computational flavor to advance fundamental understanding in important areas that involve quantum mechanical states that change in time. The PI will develop new computational methods and use them to make progress on fundamental problems that involve materials and structures of atoms which have dimensions some 100,000 times smaller than a human hair. The materials and structures of interest contain electrons that interact strongly with each other leading to highly correlated motion. The research is focused on electrons that are driven far away from the placid stable state of equilibrium to a new nonequilibrium state. Among the questions that the PI will explore are how such a state relaxes back to the tranquility of equilibrium, and how fundamental signatures of a quantum mechanical system degrade.This is fundamental research that may have impact on efforts to develop ever smaller electronic devices with higher performance. It may also have impact on the discovery of new phenomena and is focused in part on how to prepare and manipulate quantum mechanical states to perform quantum computation and novel electronic device functions.This project is computationally intensive and involves developing new numerical techniques. Students will learn valuable analytical and computational skills that will better prepare them to join the technologically savvy modern workforce. The PI will proactively recruit students from underrepresented groups. Computational tools developed in the course of the award will be made freely available and open-source through the Algorithms and Libraries for Physics Simulations project, which has already provided enormous benefits to the scientific community. These tools include the development of an educational software toolkit that contains visualization, data analysis, provenance, and simulation packages. These activities will contribute to the formation of new generations of computational condensed matter physicists. Through the ALPS project, the PI will contribute to a book on computational condensed matter, the organization of workshops, and teleteaching. A series of public lectures is also planned, to complement and enhance department outreach activities.