Quantum Monte Carlo Simulations of Bose and Fermi Superfluids

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。该奖项来自凝聚态和材料理论计划，支持理论凝聚态，原子和光学物理学的研究和教育。 所提出的努力的核心将寻求更好地理解冷原子和凝聚态背景下强相关和无序的玻色和费米系统中的相位，激发和相变。大部分的研究是关于玻色子在光学晶格和映射的有限温度相图的玻色-哈伯德模型，包括温度测量，动量分布函数和光谱函数附近的超流（SF）-莫特量子相变使用最大的量子Monte Carlo（QMC）模拟在一个陷阱的日期。 该研究计划还将解决铁基超导体中多个能带和中等强度相关性的固有复杂性所带来的难题。该研究计划解决了凝聚态物理学中具有根本意义的问题。拟议的研究计划是强烈的动机，目前的实验，并有可能指导未来的。 最终，目标是为强关联系统建立新的范式，包括无序和非无序。研究的一些主要目标包括绘制理论和实验上显示量子相变的模型的第一个有限温度相图，提供对铜酸盐和铁基砷化物中新超导性的统一理解，旨在提高转变温度，以及使用蠕虫算法开发一个用于具有限制势的光学晶格中玻色子的QMC代码，用于与冷原子实验相当的系统尺寸。本科生和研究生都将接受培训，从事拟议的项目，为他们提供基础凝聚态物理学的坚实基础。 妇女和少数民族学生将得到鼓励和特别辅导。 该提案涉及国家和国际合作，涉及物理学家和应用数学家，以努力生成处于当今研究前沿的大规模模拟代码。 不同的数值技术适用于不同的材料和系统，并有利于更大的科学家社区。 在哥伦布科学博物馆举行的2007年物理节的续集将由PI组织。 上一届的电影节也是由PI组织的，主题围绕超导性，有2000多人参加。 它展示了自制的悬浮列车，许多演示车，包括PI在内的科学家的公开讲座，以及精心编排的超导舞蹈。非技术性总结凝聚态和材料理论计划的这个奖项支持理论凝聚态，原子和光学物理学的研究和教育。 该研究计划解决了凝聚态物理学中具有根本意义的问题，受到当前实验的强烈激励，并有可能指导未来的实验工作。 最终，我们的目标是建立新的系统范例，在这些系统中，电子的相互作用需要包括在有无无序系统的量子力学描述中，超导材料是这种类型系统的一个重要技术例子。本科生和研究生都将接受培训，从事拟议的项目，为他们提供基础凝聚态物理学的坚实基础。 妇女和少数民族学生将得到鼓励和特别辅导。 该提案涉及国家和国际合作，涉及物理学家和应用数学家，以努力生成处于当今研究前沿的大规模模拟代码。 不同的数值技术适用于不同的材料和系统，并有利于更大的科学家社区。 在哥伦布科学博物馆举行的2007年物理节的续集将由PI组织。 上一届的电影节也是由PI组织的，主题围绕超导性，有2000多人参加。 它展示了一个自制的悬浮列车，许多演示车，包括PI在内的科学家的公开讲座，以及精心设计的超导舞蹈。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). TECHNICAL SUMMARYThis award from the Condensed Matter and Materials Theory program supports research and education in theoretical condensed matter, atomic, and optical physics. The central core of the proposed effort will seek an improved understanding of the phases, excitations, and phase transitions in strongly correlated and disordered Bose and Fermi systems in cold atoms and condensed matter contexts. Most of the research is concerned with bosons in optical lattices and mapping the finite temperature phase diagram of the Bose-Hubbard model, including issues related with thermometry, momentum distribution function and spectral function near the superfluid (SF)-Mott quantum phase transition using the largest quantum Monte Carlo (QMC) simulations in a trap to-date. The challenge of explaining the puzzles in the Fe-based superconductors with their inherent complexity of multiple bands and intermediate strength correlations will also be tackled.The research program addresses questions of fundamental significance in condensed matter physics. The proposed research program is strongly motivated by current experiments and has the potential to guide future ones. Ultimately, the goal is to establish new paradigms for strongly correlated systems with and without disorder.Some of the major goals of the research include mapping the first finite temperature phase diagram of a model showing a quantum phase transition both theoretically and experimentally, providing a unified understanding of novel superconductivity in cuprates and Fe-based arsenides with an aim to enhancing the transition temperature, and developing a QMC code for bosons in optical lattices with a confining potential using the worm algorithm for system sizes that are comparable to cold atom experiments.Both undergraduate and graduate students will be trained to work on the proposed projects, providing them with a solid grounding in basic condensed matter physics. Women and minority students will be encouraged and specially mentored. The proposal involves national and international collaborations, and involves physicists as well as applied mathematicians, in an effort to generate large scale simulation codes that are at the cutting edge of research today. The different numerical techniques are applicable to diverse materials and systems and beneficial to a larger community of scientists. A sequel to the 2007 Festival of Physics held at the Columbus Science Museum will be organized by the PI. The previous Festival, with a theme centered around superconductivity and over 2000 attendees ,was also organized by the PI, was attended by over 2000 people. It showcased a home-built levitated train, many demo carts, public lectures by scientists, including the PI, and a choreographed superconducting dance.NONTECHNICAL SUMMARYThis award from the Condensed Matter and Materials Theory program supports research and education in theoretical condensed matter, atomic, and optical physics. The research program addresses questions of fundamental significance in condensed matter physics, is strongly motivated by current experiments, and has the potential to guide future experimental efforts. Ultimately, the goal is to establish new paradigms for systems where the interactions of electrons need to be included in the quantum mechanical description of systems with and without disorder, with superconducting materials being a technologically important example of this type of system.Both undergraduate and graduate students will be trained to work on the proposedprojects, providing them with a solid grounding in basic condensed matter physics. Women and minority students will be encouraged and specially mentored. The proposal involves national and international collaborations, and involves physicists as well as applied mathematicians, in an effort to generate large scale simulation codes that are at the cutting edge of research today. The different numerical techniques are applicable to diverse materials and systems and beneficial to a larger community of scientists. A sequel to the 2007 Festival of Physics held at the Columbus Science Museum will be organized by the PI. The previous Festival, with a theme centered around superconductivity and over 2000 attendees ,was also organized by the PI, was attended by over 2000 people. It showcased a home-built levitated train, many demo carts, public lectures by scientists, including the PI, and a choreographed superconducting dance.