CAREER: Cold Atom Mixtures of Fermions and Bosons on a Lattice

该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的。本职业奖由材料研究部和物理部资助。它支持量子多体系统的理论和计算研究和教育，重点是与材料连接的超冷原子系统，特别是强相关材料。通过对光学晶格上冷原子的实验操作和相互作用的控制，凝聚态物理中研究的与各种复杂材料相关的模型可以被设计和测试。已经获得了在固态系统中尚未实现或无法实现的新的量子多体态，还有一些尚待探索。该项目将研究费米子-费米子和费米子-玻色子混合光学晶格中的冷原子，以及偶极分子自组装晶格中的冷原子的相关效应。由相互作用、维度和晶格几何引起的合作现象导致了这些量子多体系统丰富的相图。在这种可能的微观参数可以调整的情况下，重要的是要有系统的研究，从中可以获得控制量子多体系统的关键物理原理。这将影响我们对复杂材料的理解，以及我们设计和制造物质新量子态的能力。本文还研究了非平衡相关量子多体系统，如哈密顿量中相互作用项的突然切换。目前的冷原子技术使创建参数随时间变化的多体哈密顿量成为可能。将采用分析和计算方法相结合的方法来研究这些复杂系统的相图，并且该项目的一个重要部分涉及开发新的工具来研究远离平衡的动力学，以及在强耦合状态下的研究。该项目的教育部分侧重于南加州内陆帝国周边学区的需求，该学区的西班牙裔、非裔美国人和其他未被充分代表的群体在其人口中所占比例很高。它利用了加州大学河滨分校提供的资源，并将与该大学合作完成。美国高等成就伙伴关系学习学院。有必要改善所有K-12年级的科学教育，特别是在物理领域。PI将在加州大学河滨分校物理系学生和社区学校之间建立一座桥梁，丰富K-12学生和教师的教育，并为加州大学河滨分校的学生提供一个重要的专业发展机会，以提高他们的教学、沟通和演讲技能。该项目的更广泛影响还包括培训研究生和本科生的研究、课程开发和保留女研究生。超冷的有趣物理学及其固有的量子性质吸引了科学家、各级学生和公众的兴趣。该奖项支持开发一门关于冷原子物理学的高级本科物理课程，一门关于玻色-爱因斯坦凝聚物和光学晶格的新生发现研讨会课程，以及一场面向公众的研讨会演讲。本职业奖由材料研究部和物理部资助。它支持理论和计算研究和教育，以推进由许多相互作用的粒子组成的系统的理论。该理论可以直接应用于被激光捕获的原子冷气体，形成规则的原子晶体阵列，以及含有相互作用强烈的电子的材料。这项研究包括开发一种潜在的强大但有风险的理论技术，它可能会阐明高温超导体等材料的神秘行为。高温超导体在所有已知超导体的最高温度下显示出超导性，这是一种物质的量子力学状态，对电流没有阻力。被光捕获的冷原子组成的晶体为许多相互作用粒子的理论提供了一个特别有前途的实验试验场，因为原子之间的相互作用可以在实验中控制。该项目的教育部分侧重于南加州内陆帝国周边学区的需求，该学区的西班牙裔、非裔美国人和其他未被充分代表的群体在其人口中所占比例很高。它利用了加州大学河滨分校提供的资源，并将与该大学合作完成。美国高等成就伙伴关系学习学院。有必要改善所有K-12年级的科学教育，特别是在物理领域。PI将在加州大学河滨分校物理系学生和社区学校之间建立一座桥梁，丰富K-12学生和教师的教育，并为加州大学河滨分校的学生提供一个重要的专业发展机会，以提高他们的教学、沟通和演讲技能。该项目的更广泛影响还包括培训研究生和本科生的研究、课程开发和保留女研究生。超冷的有趣物理学及其固有的量子性质吸引了科学家、各级学生和公众的兴趣。该奖项支持新生发现神学院和高级本科物理课程，以及旨在传达相互作用系统的奇迹的公共宣传工作，冷原子及其有趣的性质。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).TECHNICAL SUMMARYThis CAREER award is funded by the Division of Materials Research and the Physics Division. It supports theoretical and computational research and education on quantum-many body systems with a focus on ultracold atom systems with connections to materials, particularly strongly correlated materials. With the experimental manipulation of cold atoms on optical lattices and control of interactions, models that have been studied in Condensed Matter Physics for their relevance to various complex materials may be engineered and tested. New quantum many-body states that have not been or cannot be realized in solid state systems have been obtained, and others are yet to be explored. The PI will investigate correlation effects in fermion-fermion and fermion-boson mixtures of cold atoms in optical lattices, and cold atoms in self-assembled lattices of dipolar molecules. Cooperative phenomena arising from interactions, dimensionality, and lattice geometry lead to rich phase diagrams for these quantum many-body systems. In this landscape of possible microscopic parameters that can be tuned, it is important to have systematic studies from which key physical principles governing quantum many-body systems can be obtained. This will have impact on our understanding of complex materials, and on our ability to design and engineer new quantum states of matter. This proposal also investigates non-equilibrium correlated quantum many body systems, such as sudden switching of interaction terms in the Hamiltonian. The current cold atom technology makes it feasible to create many-body Hamiltonians in which the parameters are time-dependent. A combination of analytical and computational methods will be employed to study the phase diagram of these complex systems, and a significant portion of this project involves development of new tools for the study of dynamics away from equilibrium, and for study in the strong coupling regime.The educational component of this project focuses on the needs of the school districts surrounding the Inland Empire in Southern California, which has a high proportion of Hispanic, African American, and other underrepresented groups in its population. It utilizes resources provided by the University of California, Riverside and will be done in partnership with the university?s Academy of Learning through Partnerships for Higher Achievement Center. There is a need to improve science education at all K-12 levels, particularly in the field of physics. The PI will establish a bridge between UCR physics students and schools in the community, enriching the education of K-12 students and teachers, and providing an important professional development opportunity for University of California, Riverside students to improve their teaching, communication, and presentation skills. Broader impacts of this project also include training of graduate and undergraduate students in research, curriculum development, and retention of women graduate students. The intriguing physics of the ultracold and its inherently quantum nature engages the interest of scientists, students at all levels, and the general public alike. This award supports the development of an advanced undergraduate physics course on the physics of cold atoms, a Freshman Discovery Seminar Course on Bose-Einstein condensates and optical lattices, and a seminar presentation for the general public.NON-TECHNICAL SUMMARYThis CAREER award is funded by the Division of Materials Research and the Physics Division. It supports theoretical and computational research and education to advance the theory of systems composed of many interacting particles. The theory has direct application to cold gases of atoms trapped in laser light to form regular crystalline arrays of atoms and to materials that contain electrons that interact strongly with each other. The research includes developing a potentially powerful but risky theoretical technique that may illuminate the enigmatic behavior of materials like high temperature superconductors which display superconductivity, a quantum mechanical state of matter that exhibits no resistance to the flow of electricity, at the highest temperatures of all known superconductors.Crystals composed of cold atoms trapped in light offer a particularly promising experimental proving ground for theories of many interacting particles because interactions between atoms can be controlled in the experiments.The educational component of this project focuses on the needs of the school districts surrounding the Inland Empire in Southern California, which has a high proportion of Hispanic, African American, and other underrepresented groups in its population. It utilizes resources provided by the University of California, Riverside and will be done in partnership with the university?s Academy of Learning through Partnerships for Higher Achievement Center. There is a need to improve science education at all K-12 levels, particularly in the field of physics. The PI will establish a bridge between UCR physics students and schools in the community, enriching the education of K-12 students and teachers, and providing an important professional development opportunity for University of California, Riverside students to improve their teaching, communication, and presentation skills. Broader impacts of this project also include training of graduate and undergraduate students in research, curriculum development, and retention of women graduate students. The intriguing physics of the ultracold and its inherently quantum nature engages the interest of scientists, students at all levels, and the general public alike. This award supports a Freshman Discovery Seminary and advanced undergraduate physics course as well as public outreach efforts that aim to convey the wonders of interacting systems cold atoms and their intriguing properties.