Competing Orders in Quantum Gases with Long-range Interactions
具有长程相互作用的量子气体中的竞争秩序
基本信息
- 批准号:1707484
- 负责人:
- 金额:$ 22.5万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2017
- 资助国家:美国
- 起止时间:2017-09-01 至 2021-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Recent experiments with trapped ensembles of magnetic atoms and/or polar molecules (molecules that have an electric dipole moment) have achieved the extremely cold temperatures at which quantum mechanical effects abound. Polar atoms and molecules attract and/or repel one another anisotropically (like a pair of magnets), and trapped collections of such particles are expected to display a variety of collective phenomena that are the focus of much current research. Modern experiments with dipolar gases are attempting to provide a controlled environment in which to synthesize, tune, and discover novel phases of polar quantum matter, complementary to the solid, liquid, gas and plasma phases familiar at higher temperatures. While polar systems are expected to display a wide variety of new phenomena, they are not yet well understood and their properties are challenging to predict theoretically. The difficulty arises from their sensitivity: Even small changes in density or temperature can change the phase of the ensemble, and so change observed properties dramatically. This project is developing new theoretical tools for the analysis of the plurality of phases of ultracold dipolar matter in order to improve our understanding of recent experimental observations. Graduate and undergraduate students will be trained through this project in scientific computing, data analysis and visualization in addition to physics. The project will develop two innovative many-body techniques for quantum gases with long-range interactions. The first is functional renormalization group for continuum Fermi gases at finite temperatures. It will be used to analyze the many-body instabilities and phase diagrams of dipolar Fermi gases in two-dimensions. The second is tensor network variational ansatz for dipolar atoms or molecules localized in deep optical lattices. It will be benchmarked and adapted to solve effective spin models with competing and long-range exchange interactions. The renormalization group technique will also be applied to study the many-body phases of other quantum gas systems including Rydberg dressed Fermi gases and spin-orbit coupled Fermi gases.
最近对磁性原子和/或极性分子(具有电偶极矩的分子)的捕获集合进行的实验已经达到了极冷的温度,在这种温度下量子力学效应大量存在。极性原子和分子各向异性地相互吸引和/或排斥(就像一对磁铁),被捕获的这些粒子的集合预计会显示出各种各样的集体现象,这是当前许多研究的重点。偶极气体的现代实验正试图提供一个可控的环境来合成、调整和发现极性量子物质的新相,以补充在较高温度下熟悉的固体、液体、气体和等离子体相。虽然极地系统有望显示出各种各样的新现象,但它们尚未被很好地理解,并且它们的性质在理论上预测是具有挑战性的。困难在于它们的灵敏度:即使密度或温度的微小变化也会改变系综的相位,从而显著改变观测到的性质。这个项目正在开发新的理论工具来分析超冷偶极物质的多个相,以提高我们对最近实验观测的理解。研究生和本科生将通过这个项目在科学计算、数据分析和可视化方面得到训练。该项目将为具有远程相互作用的量子气体开发两种创新的多体技术。第一个是有限温度下连续费米气体的泛函重整化群。它将用于分析二维偶极费米气体的多体不稳定性和相图。二是深光学晶格中偶极原子或分子的张量网络变分分析。它将被用于解决具有竞争和远程交换相互作用的有效自旋模型。重整化群技术还将应用于研究其他量子气体系统的多体相,包括里德伯修饰费米气体和自旋轨道耦合费米气体。
项目成果
期刊论文数量(12)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Topological circuits of inductors and capacitors
- DOI:10.1016/j.aop.2018.10.006
- 发表时间:2018-10
- 期刊:
- 影响因子:3
- 作者:E. Zhao
- 通讯作者:E. Zhao
Dynamical Singularities of Floquet Higher-Order Topological Insulators
- DOI:10.1103/physrevlett.124.057001
- 发表时间:2020-02-03
- 期刊:
- 影响因子:8.6
- 作者:Hu, Haiping;Huang, Biao;Liu, W. Vincent
- 通讯作者:Liu, W. Vincent
Tuning the topology of p -wave superconductivity in an analytically solvable two-band model
在可分析求解的双带模型中调整 p 波超导的拓扑
- DOI:10.1103/physrevb.102.235156
- 发表时间:2020
- 期刊:
- 影响因子:3.7
- 作者:Hu, Haiping;Zhao, Erhai;Satija, Indubala I.
- 通讯作者:Satija, Indubala I.
Renormalization group analysis of dipolar Heisenberg model on square lattice
- DOI:10.1103/physrevb.97.245105
- 发表时间:2018-03
- 期刊:
- 影响因子:3.7
- 作者:A. Keles;E. Zhao
- 通讯作者:A. Keles;E. Zhao
Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
锯齿形晶格上量子自旋的精确可解点和对称性保护拓扑相
- DOI:10.1103/physrevlett.122.180401
- 发表时间:2019
- 期刊:
- 影响因子:8.6
- 作者:Zou Haiyuan;Zhao Erhai;Guan Xi-Wen;Liu W Vincent
- 通讯作者:Liu W Vincent
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Erhai Zhao其他文献
Erhai Zhao的其他文献
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{{ truncateString('Erhai Zhao', 18)}}的其他基金
Correlation and Dynamics of Ultracold Atoms in Optical Tweezer Arrays
光镊阵列中超冷原子的相关性和动力学
- 批准号:
2308617 - 财政年份:2023
- 资助金额:
$ 22.5万 - 项目类别:
Standard Grant
Strongly Interacting Atoms under Quantum Gas Microscope
量子气体显微镜下的强相互作用原子
- 批准号:
2011386 - 财政年份:2020
- 资助金额:
$ 22.5万 - 项目类别:
Continuing Grant
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职业:确定交织有序在超导量子材料中的作用
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