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Quench dynamics of two-component dipolar fermions subject to a quasiperiodic potential

机译:两组分偶极度码头的淬火动态受QuaSiodic潜力的影响

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摘要

Motivated by recent experiments in fermionic polar gases, we study the nonequilibrium dynamics of two-component dipolar fermions subject to a quasiperiodic potential. We investigate the localization of charge and spin degrees of freedom time evolving with a long-range spin-SU(2) symmetric fermionic Hamiltonian by calculating experimentally accessible dynamical observables. To study the nonequilibrium dynamics, we start the time evolution with two initial states at half-filling: (ⅰ) product state with doublons |↑↓0↑↓0↑↓0↑↓0↑↓> and (ⅱ) product state with singlons |↑↓↑↓↑↓↑↓↑↓>. We carried out the real-time evolution via the fermionic Hamiltonian using exact diagonalization (ED) and the time-dependent variational principle (TDVP) for finite matrix product states (MPS), within experimentally relevant timescales. For the product state with doublons, we observe a delocalized to localized phase transition varying disorder strengths by monitoring the decay of charge imbalance with time. For the long-range interacting Hamiltonian of our focus, and in the presence of strong enough disorder, starting the time evolution with singlons we find a strong reduction in the spin delocalization. contrary to results of previous studies using the disordered short-range (on-site) Hubbard model with SU(2) symmetry. In addition to the quench dynamics, we also demonstrate the localization of charge and spin in the full energy spectrum of the long-range spin-SU(2) symmetric Hamiltonian by monitoring spin and charge autocorrelation functions. Our predictions for localization of both charge and spin should be observable in ultracold experiments with fermionic dipolar atoms subject to a quasiperiodic potential.
机译:最近在Fermionic Polar气体中的实验激励,我们研究了两组分偶极剂的非预测动态,受QuaSiodic潜力。通过计算实验可访问的动态可观察,我们调查充电和自由度的定位和自由度与远程旋转 - SU(2)对称的FEMIONIC HAMILTONIANIAN演变的自由度。为研究非QuiliBriaM动态,我们在半填充时用两个初始状态开始时间演变:(Ⅰ)产品状态与双层产品状态|↑↓0↑↓0↑↓0↑↓0↑>(Ⅱ)产品状态单身|↑↓↑↓↑↓↓↑↓↓>。我们在实验相关的时间尺寸内使用精确的对角化(ED)和有限矩阵产品状态(MPS)的时间依赖性变分原理(TDVP)进行了实时演变。对于具有双层的产品状态,我们通过监测时间衰减的电荷不平衡,观察到局部化相变不同紊乱强度的分层化。对于我们对焦的远程互动哈密尔顿,并且在强大的紊乱存在下,从单片机开始时演变,我们发现旋转临床化的强烈减少。与先前研究的结果相反,使用具有SU(2)对称性的无序的短距(现场)隆巴德模型。除了淬火动态之外,我们还通过监测旋转和充电自相关函数来证明电荷的定位和旋转在远程Spin-su(2)对称Hamiltonian的全能谱中。对于电荷和旋转定位的预测,应在具有Quasiodic潜力的超级偶极原子的超替代实验中可观察到电荷和旋转的定位。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2020年第21期|214302.1-214302.14|共14页
  • 作者单位

    Department of Physics and Astronomy University of Tennessee Knoxville Tennessee 37996 USA Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

    Department of Physics and Astronomy University of Tennessee Knoxville Tennessee 37996 USA Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA;

    Theoretical Sciences Unit Jawaharlal Nehru Centre for Advanced Scientific Research Jakkur Campus Bangalore 560064 India;

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