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Dislocation-mediated melting of one-dimensional Rydberg crystals

机译:位错介导的一维里德堡晶体的熔化

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摘要

We consider cold Rydberg atoms in a one-dimensional optical lattice in the Mott regime with a single atom per site at zero temperature. An external laser drive with Rabi frequency SI and laser detuning A creates Rydberg excitations whose dynamics is governed by an effective spin-chain model with (quasi) long-range interactions. This system possesses intrinsically a large degree of frustration resulting in a ground-state phase diagram in the (A,fi) plane with a rich topology. As a function of A, the Rydberg blockade effect gives rise to a series of crystalline phases commensurate with the optical lattice that form a so-called devil's staircase. The Rabi frequency Ω, on the other hand, creates quantum fluctuations that eventually lead to a quantum melting of the crystalline states. Upon increasing Ω, we find that generically a commensurate-incommensurate transition to a floating Rydberg crystal that supports gapless phonon excitations occurs first. For even larger Ω, dislocations within the floating Rydberg crystal start to proliferate and a second, Kosterlitz-Thouless-Nelson-Halperin-Young dislocation-mediated melting transition finally destroys the crystalline arrangement of Rydberg excitations. This latter melting transition is generic for one-dimensional Rydberg crystals and persists even in the absence of an optical lattice. The floating phase and the concomitant transitions can, in principle, be detected by Bragg scattering of light.
机译:我们考虑在莫特(Mott)态的一维光学晶格中冷的里德堡原子,在零温度下每个位点都有一个原子。具有Rabi频率SI和激光失谐A的外部激光驱动器会产生Rydberg激发,其动力学受具有(近似)远程相互作用的有效自旋链模型控制。该系统本质上具有很大的挫败感,导致在(A,fi)平面中具有丰富拓扑的基态相位图。作为A的函数,Rydberg阻挡效应产生了一系列与光学晶格相对应的结晶相,形成了所谓的魔鬼阶梯。另一方面,拉比频率Ω产生量子涨落,最终导致晶态发生量子熔化。随着Ω的增加,我们发现通常会首先出现向支持无间隙声子激发的浮动Rydberg晶体的从相称到不相称的过渡。对于更大的Ω,浮动Rydberg晶体中的位错开始扩散,第二个Kosterlitz-Thouless-Nelson-Halperin-Young位错介导的熔融转变最终破坏了Rydberg激发的晶体排列。后一熔化转变对于一维里德伯格晶体是通用的,甚至在没有光学晶格的情况下也持续存在。原则上,可以通过光的布拉格散射来检测浮相和伴随的跃迁。

著录项

  • 来源
    《Physical review》 |2011年第8期|p.085434.1-085434.19|共19页
  • 作者单位

    Institut fur Theoretische Physik, Universitdt zu Kiiln, Zulpicher Str. 77, DE-50937 Koln, Germapy;

    Physik Department, Technische Universitdt Munchen, James-Franck-Strasse, DE-85748 Garehing, Germany,Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;

    Institut fur Theoretische Physik, Universitdt zu Kiiln, Zulpicher Str. 77, DE-50937 Koln, Germapy;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    commensurate-incommensurate transitions;

    机译:相称过渡;

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