Phases and phase transitions of quantum gases on optical lattices

光学晶格上量子气体的相和相变

基本信息

  • 批准号:
    1205303
  • 负责人:
  • 金额:
    $ 30万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing Grant
  • 财政年份:
    2012
  • 资助国家:
    美国
  • 起止时间:
    2012-09-01 至 2016-08-31
  • 项目状态:
    已结题

项目摘要

TECHNICAL SUMMARYThis award supports theoretical research in condensed matter and quantum many body theory, concentrating on phases and phase transitions which are difficult to realize in materials but may be possible to realize with cold atoms in optical lattice traps.Cold atomic systems can emulate the behavior of electrons and atoms in real materials. They can be used to create atomic counterparts of known condensed matter phenomena, or to study yet unexplored and undiscovered new states of matter. Feshbach resonances allow real-time tuning of interactions among the atoms, while optical lattices emulate crystalline lattices through which electrons typically move in real materials. These tools were used separately in the past to create atomic analogs of superfluids with variable interaction strength and atomic equivalents of phases of condensed matter systems possible on a lattice, such as Mott insulators. The PI will investigate the outcome of combining the two tools. It is expected that atomic systems placed in optical lattices whose interactions are controlled by Feshbach resonances will exhibit a variety of phases and phase transitions among them, including superfluids, band and Mott insulators, topological superfluids at high transition temperature, and new types of topological phase transitions, as well as unusual one dimensional phases. The PI will focus on the following issues. Fermionic atoms moving in three-dimensional optical lattices in the presence of Feshbach resonances can form states such as a paired superfluid, a band insulator and molecular Mott insulators. Precise phase diagrams encompassing these phases will be worked out. In two-dimensional optical lattices, topological superfluids can arise if one works with p-wave Feshbach resonances. When placed in optical lattices, transitions among various topological superfluids are possible, in a phase diagram which is expected to be rich and lead to more stable topological superfluids. The PI will investigate whether and how this happens. The PI will use a variety of methods to explore whether new phases occur in one dimensional lattices. These include the Fulde-Ferrell-Larkin-Ovchinnikov state as well as unusual states with decoupled quasicondensates. The PI will also study topological insulators which can be created with the ultracold atoms placed in lattices with topological band structure. The PI aims to find unconventional insulators which were not observed in materials. These can be obtained with the help of a variety of spin-orbit coupling techniques developed in the field. Different setups for these insulators will be investigated theoretically.The PI will educate students across institutions through the Boulder Summer School on Condensed Matter and Materials Physics and other summer school activities within the United states and abroad.NONTECHNICAL SUMMARY This award supports theoretical research and education with the aim to study matter and new phases of matter that arise in systems of many interacting atoms or electrons. Not all phases investigated theoretically have been or can be found in real materials because of difficulties in controlling the environment of the electrons or because they require special types of interactions that are difficult or impossible to realize through electrons in materials. Cold atoms trapped in lattices of laser light offer a way to simulate existing materials and create new states of matter. Atoms, whose interactions can be controlled in real time, can be trapped in an optical lattice created by lasers, cooled to very low temperatures, and made to behave like electrons do in solids or as hypothetical particles in theoretical models. The results of these 'simulations' can then be used to guide investigations seeking new states of matter in materials. This research will focus on studying the phases of cold atoms in optical lattices in the presence of strong interactions. The interplay of the interaction of atoms with the lattices formed by lasers and the interaction of atoms with each other, gives rise to a variety of states of matter. The PI will develop a kind of 'roadmap' showing which phases are possible for given interaction strengths. Some of the most exciting phases possible in lattices are topological insulators, some of which have been observed in materials made of, for example the elements bismuth and selenium. However many more types of topological insulator are predicted but have not yet been observed in materials. This research will explore ways to make them with cold atoms. The PI will educate students across institutions through the Boulder Summer School on Condensed Matter and Materials Physics and other summer school activities within the United states and abroad.
该奖项支持凝聚态和量子多体理论的理论研究,重点关注在材料中难以实现但可能通过光学晶格陷阱中的冷原子实现的相和相变。冷原子系统可以模拟真实的材料中的电子和原子的行为。它们可以用来创造已知凝聚态现象的原子对应物,或者研究尚未探索和发现的新物质状态。Feshbach共振允许实时调整原子之间的相互作用,而光学晶格模拟电子通常在真实的材料中移动的晶格。这些工具在过去分别用于创建超流体的原子类似物,其具有可变的相互作用强度和可能在晶格上的凝聚态系统的原子等效物,例如莫特绝缘体。PI将研究结合两种工具的结果。在Feshbach共振控制的光学晶格中,原子系统的相互作用将呈现出多种相和相变,包括超流体、能带和Mott绝缘体、高转变温度下的拓扑超流体、新型拓扑相变以及不寻常的一维相。 PI将重点关注以下问题。费米子原子在三维光学晶格中运动时,在Feshbach共振存在下可以形成成对超流、带绝缘体和分子Mott绝缘体等状态。将绘制出包含这些相的精确相图。在二维光学晶格中,拓扑超流体可以出现,如果一个工作与p波Feshbach共振。当放置在光学晶格中时,各种拓扑超流体之间的转变是可能的,在一个相图中,预计将是丰富的,并导致更稳定的拓扑超流体。PI将调查是否以及如何发生这种情况。PI将使用各种方法来探索一维晶格中是否会出现新相。这些包括Fulde-Ferrell-Larkin-Ovchinnikov状态以及具有解耦准凝聚体的不寻常状态。PI还将研究拓扑绝缘体,这种绝缘体可以用超冷原子放置在具有拓扑能带结构的晶格中来创建。PI的目标是找到在材料中没有观察到的非常规绝缘体。这些都可以得到的帮助下,在该领域开发的各种自旋轨道耦合技术。PI将通过Boulder Summer School on Condensed Matter and Materials Physics以及美国和国外的其他暑期学校活动,对各机构的学生进行教育。NONTECHNICAL概要该奖项支持理论研究和教育,旨在研究许多相互作用的原子或电子系统中出现的物质和物质的新相。并非所有理论上研究的相都已经或可以在真实的材料中找到,因为难以控制电子的环境,或者因为它们需要特殊类型的相互作用,而这些相互作用很难或不可能通过材料中的电子实现。被困在激光晶格中的冷原子提供了一种模拟现有材料并创造新物质状态的方法。原子的相互作用可以在真实的时间内控制,可以被困在激光产生的光学晶格中,冷却到非常低的温度,并使其表现得像固体中的电子或理论模型中的假设粒子。 然后,这些“模拟”的结果可以用来指导在材料中寻找新物质状态的研究。本研究将着重于研究强相互作用下光学晶格中冷原子的相位。原子与激光形成的晶格的相互作用以及原子之间的相互作用的相互作用产生了各种物质状态。PI将开发一种“路线图”,显示给定交互强度的可能阶段。晶格中可能存在的一些最令人兴奋的相是拓扑绝缘体,其中一些已经在由例如铋和硒元素制成的材料中观察到。然而,更多类型的拓扑绝缘体被预测,但尚未在材料中观察到。这项研究将探索用冷原子制造它们的方法。PI将通过Boulder Summer School on Condensed Matter and Materials Physics以及美国和国外的其他暑期学校活动教育学生。

项目成果

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Victor Gurarie其他文献

Conformal algebras of two-dimensional disordered systems
二维无序系统的共形代数
  • DOI:
  • 发表时间:
    1999
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Victor Gurarie;Victor Gurarie;Andreas W. W. Ludwig
  • 通讯作者:
    Andreas W. W. Ludwig
C-THEOREM FOR DISORDERED SYSTEMS
无序系统的 C 定理
  • DOI:
  • 发表时间:
    1998
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Victor Gurarie
  • 通讯作者:
    Victor Gurarie
The Haldane-Rezayi quantum Hall state and conformal field theory
Haldane-Rezayi 量子霍尔态和共形场论
  • DOI:
  • 发表时间:
    1997
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Victor Gurarie;Michael Flohr;Chetan Nayak
  • 通讯作者:
    Chetan Nayak
Some generic aspects of bosonic excitations in disordered systems.
无序系统中玻色子激发的一些一般方面。
  • DOI:
    10.1103/physrevlett.89.136801
  • 发表时间:
    2002
  • 期刊:
  • 影响因子:
    8.6
  • 作者:
    Victor Gurarie;J. Chalker
  • 通讯作者:
    J. Chalker
Global large time dynamics and the generalized Gibbs ensemble
全球大时间动力学和广义吉布斯系综
  • DOI:
  • 发表时间:
    2012
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Victor Gurarie
  • 通讯作者:
    Victor Gurarie

Victor Gurarie的其他文献

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{{ truncateString('Victor Gurarie', 18)}}的其他基金

CAREER: Disorder and Symmetries in Condensed Matter Systems
职业:凝聚态系统中的无序性和对称性
  • 批准号:
    0449521
  • 财政年份:
    2005
  • 资助金额:
    $ 30万
  • 项目类别:
    Continuing Grant

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