Metal-Insulator Transitions in Correlated Quantum Systems

该奖项支持理论和计算研究和教育，重点是量子多体系统中粒子之间的相关性的作用。 本研究的主要目的是研究光晶格阱中超冷原子的Mott跃迁。 PI的目的是扩展我们的理解的临界现象的玻色哈伯德哈密顿在一个均匀的晶格的情况下，空间变化的一个粒子的潜力可以局部改变填充和压缩性。铈体积塌陷的研究包括一个次级推力。PI的目的是完善他的应用程序的动力学平均场理论及其扩展的铈体积坍缩，在4-f轨道中的金属-绝缘体过渡被认为发挥了至关重要的作用。量子蒙特卡罗技术将用于所需的数值模拟。该奖项还支持学生融入研究生和本科生水平的研究活动。PI将继续开展活动，让来自代表性不足群体的学生参与研究和向高中生推广。该奖项支持理论和计算研究和教育，重点关注量子多体系统中粒子之间的相关性。 这项研究的主要目的在于研究在极低温度下被“困”在空间周期性晶格中的原子。这个原子物理系统被认为是强关联电子材料和一些超导体的有用模拟，但与材料中的电子不同，这个系统可以在实验上“可调”，从而能够相对容易地详细探索不同的物理状态。传统的强关联电子材料的晶格模型，例如哈伯德模型，被认为是描述这些系统。专注于这些被困原子系统，PI将研究金属中超导和绝缘状态类似物之间的过渡，并探索这些系统中可能出现的奇异物质状态。这项工作的目的是研究原子晶格陷阱系统，以阐明超导体和强关联材料的复杂物理。PI的目的是完善最近开发的方法，包括电子之间的相关性的影响，以研究一种被认为发生在占据元素铈的4-f壳层原子轨道的电子中的“金属-绝缘体转变”。量子蒙特卡罗技术将用于所需的数值模拟。该奖项还支持学生融入研究生和本科生水平的研究活动。PI将继续开展活动，让代表性不足的群体的学生参与研究，并与高中生进行外联。

This award supports theoretical and computational research and education that focuses on the role of correlations among particles in quantum many-body systems. The primary thrust of the research lies in the study of the Mott transition in ultracold atoms in optical lattice traps. The PI aims to extend our understanding of critical phenomena in the Bose-Hubbard Hamiltonian on a uniform lattice to the case where a spatially varying one-particle potential can locally alter the filling and compressibility. A study of the cerium volume collapse comprises a secondary thrust. The PI aims to refine his application of the dynamical mean field theory and its extensions to the cerium volume collapse, where a metal-insulator transition in 4-f orbitals is thought to play a crucial role. Quantum Monte Carlo techniques will be used for required numerical simulations. This award also supports the integration of students into research activities at graduate and undergraduate levels. The PI will continue his activities in involving students from underrepresented groups in research and in outreach to high school students. %%%This award supports theoretical and computational research and education that focuses on the role of correlations among particles in quantum many-body systems. The primary thrust of the research lies in the study of atoms at extremely low temperature that are "trapped" in spatially periodic lattices. This atomic physics system is believed to provide a useful analog for a strongly correlated electron material and some superconductors, but unlike electrons in materials, this system may be experimentally "tunable" enabling detailed exploration of different physical states with relative ease. Traditional lattice models for strongly correlated electron materials, e.g. the Hubbard model, are believed to describe these systems. Focusing on these trapped atom systems, the PI will study a transition between analogs of superconducting and insulating states in metals and explore exotic states of matter that can arise in these systems. An aim of this work is to study atomic lattice trap systems to elucidate the complex physics of superconductors and strongly correlated materials. The PI aims to refine recently developed methods for including the effects of correlations among electrons to study a kind of "metal-insulator transition" that is believed to occur in the electrons occupying 4-f shell atomic orbitals of the element cerium. Quantum Monte Carlo techniques will be used for required numerical simulations. This award also supports the integration of students into research activities at graduate and undergraduate levels. The PI will continue his activities in involving students from underrepresented groups in research and in outreach to high school students.***