Strongly Interacting Fermions in Ultracold Atomic Gases and Correlated Materials

该奖项支持强相互作用费米系统领域的理论研究和教育。 该项目与当前两类不同系统（超冷原子气体和复杂材料）的实验密切相关，并将导致对量子多体物理学的基本见解。 在强相互作用原子气体领域，PI将专注于：（i）超流，铁磁和费米液相的研究，（ii）配对间隙和赝间隙的光谱探针，以及（iii）动力学系数，如剪切和体积粘度及其在幺正状态下的异常行为。许多将被解决的问题在固态材料中有有趣的对应物。这些问题包括可能存在的铁磁基态在一个单一的带排斥模型，或一个正常的状态配对赝隙在强吸引力的费米气体，和问题的准粒子没有很好地定义制度的输运系数。PI还将探索光谱探针之间的相似性，如冷原子的动量分辨射频光谱和复杂材料中的角度分辨光电发射。该项目的一部分将处理目前仅在复杂材料中直接感兴趣的问题。PI将专注于掺杂莫特绝缘体引起的强关联态中的无序效应。一方面，无序引起纳米级的不均匀性，这在确定可观察的性质中起着重要作用，另一方面，它也作为一个局部扰动，提供了新的见解强相关的电子状态。一个突出的例子是，在强关联超导体中，无序效应似乎受到了强烈的抑制。这项研究将涉及对研究生进行研究前沿重要问题的培训。部分研究将导致原子，分子和光学物理，凝聚态物理和高能物理领域之间的交叉施肥。PI将继续通过国际会议和暑期学校的讲座和讲座传播他的成果，并通过流行讲座向本科生和高中生传达科学研究的兴奋。 非技术总结该奖项支持理论研究和教育，以研究相互作用粒子系统的涌现特性，这是凝聚态物理学的核心。一些最有趣的性质出现时，组分强烈相互作用。PI的目的是获得理论洞察两类问题，涉及强相互作用的原子在超冷原子气体和复杂的固态材料。超冷原子气体是使用激光或磁场冷却到非常接近绝对零度的温度的原子气体。这一理论研究受到最近实验的强烈推动。PI的目标是获得新的见解，并做出可通过实验检验的预测。部分研究与核物理和高能物理等不同的物理学领域重叠。相关材料的工作旨在解决一些重要的问题，例如为什么高温超导体对材料中的杂质和缺陷具有异常的鲁棒性，这是一个具有根本和实际重要性的问题。这项研究将涉及在研究前沿的重要问题方面对研究生进行培训。部分研究将导致原子，分子和光学物理，凝聚态物理和高能物理领域之间的交叉施肥。PI将继续通过国际会议和暑期学校的讲座和讲座传播他的成果，并通过流行讲座向本科生和高中生传达科学研究的兴奋。

TECHNICAL SUMMARYThis award supports theoretical research and education in the area of strongly interacting Fermi systems. This project is closely tied to current experiments in two different classes of systems, ultracold atomic gases and complex materials, and will lead to fundamental insights into quantum many-body physics. In the area strongly interacting atomic gases, the PI will focus on: (i) the study of superfluid, ferromagnetic, and Fermi liquid phases, (ii) spectroscopic probes of pairing gaps and pseudogaps, and (iii) kinetic coefficients like shear and bulk viscosities and their anomalous behavior in the unitary regime. Many of the issues that will be addressed have interesting counterparts in solid state materials. These include questions like the possible existence of a ferromagnetic ground state in a single band repulsive model, or that of a normal state pairing pseudogap in strongly attractive Fermi gases, and questions about transport coefficients in regimes where quasiparticles are not well-defined. The PI will also explore the similarities between spectroscopic probes like momentum-resolved radio-frequency spectroscopy of cold atoms and angle-resolved photoemission in complex materials. A part of the project will deal with questions that are at the present time of direct interest only in complex materials. The PI will focus on the effect of disorder in strongly-correlated states which arise from doping Mott insulators. On the one hand, disorder gives rise to nanoscale inhomogeneity which plays a major role in determining observable properties, and on the other hand, it also acts as a local perturbation that gives new insights into the strongly correlated electronic state. A striking example is how disorder effects seem to be strongly suppressed in strongly correlated superconductors.The research will involve training graduate students in important problems at the frontiers of research. Parts of the research will lead to cross-fertilization between the fields of atomic, molecular and optical physics, condensed matter physics, and high energy physics. The PI will continue to disseminate his results through talks and lectures at international conferences and summer schools, and to communicate the excitement of scientific research to undergraduates and high school students through popular lectures. NON-TECHNICAL SUMMARYThis award supports theoretical research and education to study the emergent properties of systems of interacting particles which lies at the heart of condensed matter physics. Some of the most interesting properties arise when the constituents are strongly interacting. The PI aims to gain theoretical insight into two classes of problems involving strongly interacting atoms in ultracold atomic gases and in complex solid state materials. Ultracold atomic gases are gases of atoms that are cooled using lasers or magnetic fields to temperatures very close to the absolute zero of temperature. This theoretical research is strongly motivated by recent experiments. The PI's goal is to obtain new insights and to make predictions that are testable through experiment. Parts of the research have an overlap with areas of physics as diverse as nuclear and high energy physics. The work on correlated materials aims to address the important questions like why the high temperature superconductors are unusually robust against impurities and imperfections in the materials, a matter of both fundamental and practical importance. The research will involve training graduate students in important problems at the frontiers of research. Parts of the research will lead to cross-fertilization between the fields of atomic, molecular and optical physics, condensed matter physics, and high energy physics. The PI will continue to disseminate his results through talks and lectures at international conferences and summer schools, and to communicate the excitement of scientific research to undergraduates and high school students through popular lectures.