CAREER: Disorder and Symmetries in Condensed Matter Systems

非技术解释：这个职业奖支持凝聚态物理领域的理论研究和教育。凝聚态物理学中一个令人兴奋的发展是认识到，随机分散的杂质总是存在于材料中，可以导致系统的可重复行为，有时会产生新的物理现象，如果没有无序就不会存在。无序理论的发展带来了介观物理的成功，也有助于我们对量子霍尔效应、二阶相变等现象的理解。在研究部分，无序理论将集中在无序理论中具有普遍性的方面。特别是，PI旨在阐明无序环境中低能玻色子激发的普遍方面。这一领域的一些最重要的问题包括“玻色子峰”，无序固体和玻璃中的声子过剩，以及磁子在随机磁体中的热输运。PI计划研究随机弹性介质中的声子，将其作为无序固体的模型，并研究它们在典型无序关联长度量级的波长处的态密度峰值。PI计划研究纳米尺度超导颗粒中的无序。这里的问题是，扩散无序系统如何对少量强散射体的引入做出反应。PI将用共形场理论的精确方法研究无序存在时的二阶相变。在实验上，在冷原子气体中创造多体凝聚态似乎是可能的。与典型的凝聚态系统不同，原子之间的相互作用可以在外部进行调节，这允许定制制造具有各种有趣特性的原子系统。在这些原子系统中创建量子霍尔型拓扑态是可能的。这样的状态被认为是量子计算机的可能组成部分。原子凝聚态中的拓扑态有望比它们的量子霍尔对应的拓扑态更健壮，使它们更适合实际应用。PI将研究在费米子原子凝聚体中创建可调非阿贝尔量子霍尔态的不同方法。在教育部分，PI将设计和教授一套新的课程，旨在将多体物理带给所有感兴趣的研究生和优秀的本科物理专业学生。其目的是以一种逻辑上一致的方式教授现代理论物理，避免将其描述为不同的无关现象的集合。特别是，PI的目标是为本科生设计一套项目，帮助他们主动学习材料，而不是被动地学习。国际和平协会还计划通过战略合作与少数族裔学生合作，并参与外展活动。非技术解释：该职业奖支持凝聚态物理领域的理论研究和教育。凝聚态物理学的一个令人兴奋的发展是认识到，随机分散的杂质总是存在于材料中，可以导致系统的可重复行为，有时会产生新的物理现象，如果没有无序就不会存在。无序理论的发展导致了介观物理的成功，也有助于我们对量子霍尔效应、二阶相变等现象的理解。在研究部分，无序理论的重点是无序理论的一些方面，即与真实材料中无序的微观细节无关，并且可能在许多不同的物理系统中找到。PI的目标是研究从无序材料中的晶格振动和纳米超导颗粒中的无序到无序系统中的相变理论的各种主题。在实验上，似乎有可能在被激光捕获的非常冷的原子系统中创造出类似于各种有趣材料中的电子的状态。原子之间的相互作用比电子之间的相互作用更容易调节，从而使定制制造具有各种有趣特性的原子系统成为可能。在这些原子系统中创建状态是可能的，这些状态已经被提议作为量子计算机的可能组成部分。PI将研究创建冷原子态的不同方法，这些方法具有基本的科学兴趣，并可能对新兴的量子信息科学领域产生影响。在教育部分，PI将设计和教授一套新的课程，旨在将多体物理带给所有感兴趣的研究生和优秀的本科物理专业学生。其目的是以一种逻辑上一致的方式教授现代理论物理，避免将其描述为不同的无关现象的集合。特别是，PI的目标是为本科生设计一套项目，帮助他们主动学习材料，而不是被动地学习。国际学生联合会还计划通过战略协作与少数族裔学生合作，并参加外联活动。

NON-TECHNICAL EXPLANATION:This CAREER award supports theoretical research and education in the field of condensed matter physics. One exciting development in condensed matter physics is the realization that randomly scattered impurities, always present in materials, can result in systematic reproducible behavior, sometimes producing new physical phenomena which would not have existed without disorder. Developments in the theory of disorder led to successes in mesoscopic physics, and it also contributed to our understanding of the quantum Hall effect, second order phase transitions, and other phenomena.In the research component, the PI will focus on the aspects of the theory of disorder that are universal. In particular, the PI aims to elucidate the universal aspects of low-energy bosonic excitations in a disordered environment. Some of the most important problems in this field include the "boson peak", the excess of phonons in disordered solids and glasses, and the heat transport of magnons in random magnets. The PI plans to study phonons in random elastic media as a model of disordered solids and investigate the peak in their density of states at wavelength of the order of typical disorder correlation length. The PI plans to study disorder in nanoscale superconducting grains. At issue here is how a diffusive disordered system responds to the introduction of a small number of strong scatterers. The PI will study the second order phase transition in the presence of disorder using the exact methods of conformal field theory. It appears to be experimentally possible to create many-body condensed matter states in cold atomic gases. Unlike those in typical condensed matter systems, the interactions between the atoms can be tuned externally, and this allows to custom manufacture atomic systems with various interesting properties. It may be possible to create quantum Hall-like topological states in these atomic systems. Such states have been proposed as possible building blocks of quantum computers. The topological states in atomic condensates are expected to be far more robust than their quantum Hall counterparts, making them more suitable for practical applications. The PI will investigate different ways of creating a tunable non-Abelian quantum Hall-like state in the fermionic atomic condensates. In the education component, the PI will devise and teach a new set of courses designed to bring many-body physics to all interested graduate students and bright undergraduate physics majors. The aim is to teach modern theoretical physics in a logically consistent way, avoiding representing it as just a collection of different unrelated phenomena. In particular, the PI aims to devise a set of projects for undergraduate students taking the class "Introduction to Solid State Physics," to help students to study the material actively, as opposed to passively. The PI also plans to work with minority students through a strategic collaboration and to participate in outreach activities.NON-TECHNICAL EXPLANATION:This CAREER award supports theoretical research and education in the field of condensed matter physics. An exciting development in condensed matter physics is the realization that randomly scattered impurities, always present in materials, can result in systematic reproducible behavior, sometimes producing new physical phenomena which would not have existed without disorder. Developments in the theory of disorder led to successes in mesoscopic physics, and have also contributed to our understanding of the quantum Hall effect, second order phase transitions, and other phenomena.In the research component, the PI focuses on the aspects of the theory of disorder that are universal, that is, independent of the microscopic details of disorder in real materials and are likely to be found in many different physical systems. The PI aims to investigate a variety of topics from lattice vibrations in disordered materials and disorder in nanoscale superconducting grains to the theory of phase transition in disordered systems. It appears to be experimentally possible to create states in systems of very cold atoms trapped by laser light that resemble the states of electrons in various interesting materials. The interactions between the atoms can be more easily tuned than the interactions between electrons opening the possibility to custom manufacture atomic systems with various interesting properties. It may be possible to create states in these atomic systems that have been proposed as possible building blocks of quantum computers. The PI will investigate different ways of creating cold-atom states that are of fundamental scientific interest and may have impact on the emerging field of quantum information science. In the education component, the PI will devise and teach a new set of courses designed to bring many-body physics to all interested graduate students and bright undergraduate physics majors. The aim is to teach modern theoretical physics in a logically consistent way, avoiding representing it as just a collection of different unrelated phenomena. In particular, the PI aims to devise a set of projects for undergraduate students taking the class "Introduction to Solid State Physics," to help students to study the material actively, as opposed to passively. The PI also plans to work with minority students through a strategic collaboration and to participate in outreach activities.