Cold atom mixtures of fermions and bosons on a lattice

物理部和材料研究部为本奖项提供资金。该奖项支持对温度接近绝对零度并被激光捕获的冷原子系统的综合理论研究和教育。这项研究的目的是研究可以在超低温下用原子和分子的混合物设计和工程的物质的新量子力学状态，并为使用超冷原子系统（如一种特殊的计算机）来模拟材料中电子的相关运动和高能物理和量子化学中研究的理论开辟新的途径。随着在操纵冷原子和分子以及控制它们之间相互作用的能力方面的进步，在材料研究中研究的模型与理解未来技术应用中有希望的复杂材料的相关性可能会被设计和测试。更重要的是，新的量子多体态将被寻找，其中一些在材料或纳米级系统中没有对应的。PI将探索从这些系统中的相互作用、维度和晶格几何结构产生的复杂相关运动中出现的现象，以及具有不同量子力学特性的粒子的混合，例如，一些在某种意义上表现得像光量子，而另一些表现得像电子，导致这些量子多体系统的丰富行为。PI还将继续她的教育和推广活动，包括培训研究生和本科生进行研究，并通过“科学家在课堂上”项目与当地K-12学校和教师合作。课堂上的科学家项目是PI在美国国家科学基金会的支持下启动的一个扩展项目，由加州大学河滨分校物理与天文学系和加州科学项目提供支持。它为物理专业学生和社区学校之间提供了一座桥梁，丰富了K-12学生的教育，并为加州大学河滨分校的学生提供了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。PI和课堂科学家项目的参与者将与大学和K-12学生以及公众分享他们对物理学的热情，以及超冷原子和新兴现象的迷人物理学。技术摘要物理部和材料研究部为该奖项提供资金。在过去的几年里，原子、分子和光学物理领域的实验取得了显著的进展，包括超冷原子在光学晶格上的操纵，以及它们相互作用的控制和可调性达到了前所未有的水平。在冷原子系统中可能的微观相互作用的广阔前景中，重要的是对相图和相变进行系统的研究，并寻找控制量子多体系统的关键物理原理。本项目研究冷原子系统中的多体效应，重点研究冷原子和分子的混合物。这项研究与教育和外展活动相结合。本项目的目标是：(1)研究具有远程相互作用的冷原子系统，提出与玻色子-费米子和费米子-费米子混合的远程相互作用的工程方法，探索最近实现的和已经内置可调远程相互作用的偶极量子系统，研究窄费希巴赫共振产生的远程相互作用及其在多体系统中的影响。(2)研究费米子-费米子混合，包括SU(2) x SU(6)系统和混合维度中的费米子。(3)研究强耦合状态下的冷原子系统，包括规范理论和晶格模型在强耦合极限下与冷原子的联系。提出了一种强耦合极限下排斥性费米子的重整化群方法。(4)探索用重整化群方法研究冷原子系统的动力学效应。PI还将继续她的教育和推广活动，包括培训研究生和本科生进行研究，并通过“科学家在课堂上”项目与当地K-12学校和教师合作。课堂上的科学家项目是PI在美国国家科学基金会的支持下启动的一个扩展项目，由加州大学河滨分校物理与天文学系和加州科学项目提供支持。它为物理专业学生和社区学校之间提供了一座桥梁，丰富了K-12学生的教育，并为加州大学河滨分校的学生提供了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。PI和课堂科学家项目的参与者将与大学和K-12学生以及公众分享他们对物理学的热情，以及超冷原子和新兴现象的迷人物理学。

NONTECHNICAL SUMMARYThe Physics Division and the Division of Materials Research contribute funds to this award. This award supports integrated theoretical research and education on systems of cold atoms near the absolute zero of temperature and trapped in laser light. The research is aimed to investigate new quantum mechanical states of matter that may be designed and engineered with mixtures of atoms and molecules at ultra low temperatures and to open new avenues for using ultra cold atom systems like a special kind of computer to simulate the correlated motion of electrons in materials and theories studied in high energy physics and quantum chemistry. With the progress in the ability to manipulate cold atoms and molecules and to control the interactions among them, the models that have been studied in materials research for their relevance to understanding complex materials that are promising for future technological applications may be engineered and tested. Even more importantly, new quantum many-body states will be sought, some that do not have a counterpart in materials or nanoscale systems. The PI will explore phenomena that emerge from the complex correlated motion that arise from interactions, dimensionality, and lattice geometry in these systems, as well as mixtures of particles with different quantum mechanical properties, for example some that in a sense behave like quanta of light mixed with others that behave like electrons, lead to the rich behavior of these quantum many-body systems. The PI will also continue her education and outreach activities that include training of graduate and undergraduate students in research and working with local K-12 schools and teachers through the Scientists in the Classroom Program. The Scientists in the Classroom Program is an outreach program that the PI started under prior NSF support and is supported by the UC Riverside Department of Physics and Astronomy and by the California Science Project. It provides a bridge between physics students and schools in the community, enriching the education of K-12 students and providing an important professional development opportunity for University of California Riverside students to improve their teaching, communication, and presentation skills. The PI and participants of the Scientists in the Classroom Program will share their passion for physics and the fascinating physics of ultra cold atoms and of emergent phenomena with college and K-12 students and the general public.TECHNICAL SUMMARYThe Physics Division and the Division of Materials Research contribute funds to this award. In the past few years, there has been remarkable experimental progress in the field of atomic, molecular and optical physics, including manipulation of ultra-cold atoms on optical lattices, and an unprecedented level of control and tunability of their interactions. In the vast landscape of possible microscopic interactions that can be tuned in cold atom systems, it is important to have systematic studies of phase diagrams and phase transitions, and to search for key physical principles that govern quantum many-body systems. This project investigates many-body effects in cold atom systems with a focus on mixtures of cold atoms and molecules. This research is integrated with education and outreach activities.The objectives of this project are:(1) To investigate cold atom systems with long-range interactions, proposing ways to engineer long-range interactions with boson-fermion and fermion-fermion mixtures, exploring dipolar quantum systems which have recently been realized and already have tunable long-range interactions built-in, and studying the long-range interaction coming from narrow Feshbach resonances and its effect in a many-body system.(2) To investigate fermion-fermion mixtures, including SU(2) x SU(6) systems and fermions in mixed dimensions.(3) To investigate cold atom systems in the strong coupling regime, including connections between gauge theories and lattice models in the strong coupling limit that can be created with cold atoms. It develops a new renormalization-group approach for repulsive fermions in the strong coupling limit.(4) To explore renormalization-group approaches to study dynamical effects in cold atom systems.The PI will also continue her education and outreach activities that include training of graduate and undergraduate students in research and working with local K-12 schools and teachers through the Scientists in the Classroom Program. The Scientists in the Classroom Program is an outreach program that the PI started under prior NSF support and is supported by the UC Riverside Department of Physics and Astronomy and by the California Science Project. It provides a bridge between physics students and schools in the community, enriching the education of K-12 students and providing an important professional development opportunity for University of California Riverside students to improve their teaching, communication, and presentation skills. The PI and participants of the Scientists in the Classroom Program will share their passion for physics and the fascinating physics of ultra cold atoms and of emergent phenomena with college and K-12 students and the general public.