CAREER: Dynamics and Transport of Excited Strongly Correlated Many-Particle Systems

该奖项支持计算和理论研究，以及旨在阐明宏观耗散输运的教育，这些输运来自相互作用粒子的固有确定性和通常的量子微观运动。最近对这一基本问题的探索以三种现象为基础：(i)合成导体中所谓的“坏金属”行为，（ii）多体局部化，（iii）一维非谐振子的平衡。虽然第一个问题在许多有趣的材料中得到了很好的证明，比如二氧化钒、巴克敏斯特富勒烯和高温超导体，但后两个问题主要是由多体理论的基本问题引起的。PI的目的是提出清晰的方法，在简单的实验中辨别这些微妙的现象。而不是更常见的方法，涉及到极限零度的绝对温度，PI将重点放在有限温度的方法，非常精确的数值计算的动力特性是可能的。由于感兴趣的现象在非零温度下主导渐近低频响应，有限温度下的计算为探索提供了方便的途径。大多数常用的方法都不能解决相关输运的标志，即违反Mott-Ioffe-Regel极限和非drude光学响应。受到从低温延伸到极高温度的相关输运的特别引人注目的例子的激励，PI将探索这样一种想法，即高温状态可以作为分析在中低温下进行的广泛实验的新起点，从坏金属到重费米子再到表观量子临界点。该奖项支持研究生和本科生的教育机会。PI计划建立一个多元化的研究小组，不同层次的学生将参与指导、教育和研究经验。PI计划教授跨学科计算研究的探索课程。该计划旨在帮助提高公众对材料研究的认识，重点是让非专业观众以易于理解的形式接触到前沿研究，从而有效激发终身学习的兴趣。本次职业奖的外展活动还将包括关于凝聚态物理和PI自己的研究的讨论会式公开讲座。该职业奖支持计算和理论研究，以及涉及与导电合成材料中的电子运动，磁性材料和原子在接近绝对零度的温度冷却气体中的原子运动相关的新现象的教育。PI将开发理论和数值方法来描述电子响应于外加场（例如外加电压）的运动。PI在一定程度上寻求理解降低电子运动的耗散的微观起源。PI采用了一种不同于之前关于该主题的许多研究的方法。研究更多地集中在理解许多电子或许多原子系统的动力学行为，其中组成电子或原子相互作用，系统是由量子力学描述的，但温度可能足够高，系统正在接近经典力学的交叉。在适当的条件下，许多这样的电子系统可能出现在某些材料和纳米结构中。该奖项支持基础研究，旨在了解材料的电子特性以及电子运动中能量损失的微观起源。这些结果可能会导致发现新的现象，推动基础科学的发展，也可能导致新的技术应用。该奖项支持研究生和本科生的教育机会。PI计划建立一个多元化的研究小组，不同层次的学生将参与指导、教育和研究经验。PI计划教授跨学科计算研究的探索课程。该计划旨在帮助提高公众对材料研究的认识，重点是让非专业观众以易于理解的形式接触到前沿研究，从而有效激发终身学习的兴趣。本次职业奖的外展活动还将包括关于凝聚态物理和PI的座谈会式公开讲座。这是我自己的研究。

TECHNICAL SUMMARY This CAREER award supports computational and theoretical research, and education aimed at elucidating the emergence of macroscopic dissipative transport from inherently deterministic and usually quantum microscopic motion of interacting particles. Recent explorations of this fundamental question have been anchored by three phenomena: (i) the so called "bad metal" behavior in synthetic conductors, (ii) many-body localization, and (iii) equilibration of anharmonic oscillators in one dimension. While the first of these is well documented in many interesting materials, such as vanadium dioxide, Buckminsterfullerene, and high temperature superconductors, the latter two are primarily motivated by fundamental questions of many-body theory. The PI aims to propose clear ways to discern these often subtle phenomena in simple experiments. Rather than more common approaches that involve taking a limit of zero absolute temperature, the PI will focus on finite temperature approaches for which very precise numerical computations of dynamical properties are possible. Because phenomena of interest dominate asymptotic low frequency response at non-zero temperatures, calculation at finite temperature enables a convenient avenue for exploration. By most common approaches are not able to address hallmarks of correlated transport as violation of Mott-Ioffe-Regel limit and non-Drude optical response. Motivated by the particularly spectacular examples of correlated transport extending from low to very high temperatures, the PI will explore the idea that the high temperature regime may serve as the novel starting point for analyzing a broad range of experiments done at intermediate to low temperature, from bad metals to heavy fermions to apparent quantum critical points. This award supports educational opportunities for graduate and undergraduate students. The PI plans a diverse research group where students at different levels will be involved in mentoring, education and research experiences. The PI plans to teach an exploration-based course in cross-disciplinary computational research. The PI aims to help boost a public appreciation of materials research with a focus on exposing non-expert audiences to cutting edge research in an accessible form with the aim of effectively stimulating lifelong interest in learning. Outreach activities stemming from this CAREER award will also include colloquium-style public lectures about condensed matter physics and PI's own research. NONTECHNICAL SUMMARY This CAREER award supports computational and theoretical research, and education involving novel phenomena associated with electron motion in synthetic materials that conduct electricity, magnetic materials, and atomic motion in gases of atoms cooled near the absolute zero of temperature. The PI will develop theoretical and numerical methods to describe the motion of electrons in response to applied fields, for example an applied voltage. The PI seeks in part to understand the microscopic origins of dissipation that degrades electron motion. The PI takes a different approach than much of the previous research that has been done on this topic. The research more generally focuses on understanding the dynamical behavior of many electron or many atom systems in which the constituent electrons or atoms interact with each other, the systems are described by quantum mechanics, but the temperature may be high enough that the system is approaching the crossover to classical mechanics. Many electron systems such as these may appear in certain kinds of materials and in nanostructures under the right conditions.This award supports fundamental research that aims at our understanding of electronic properties of materials and the microscopic origins of how energy is lost in electronic motion. The results may lead to the discovery of new phenomena advancing fundamental science and may also lead to new technological applications.This award supports educational opportunities for graduate and undergraduate students. The PI plans a diverse research group where students at different levels will be involved in mentoring, education and research experiences. The PI plans to teach an exploration-based course in cross-disciplinary computational research. The PI aims to help boost a public appreciation of materials research with a focus on exposing non-expert audiences to cutting edge research in an accessible form with the aim of effectively stimulating lifelong interest in learning. Outreach activities stemming from this CAREER award will also include colloquium-style public lectures about condensed matter physics and PI?s own research.