arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.00618cond-mat.str-elcond-mat.dis-nncond-mat.stat-mech
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两足罗盘梯中无无序局域化的对数纠缠增长

Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder

Oliver Hart, Sarang Gopalakrishnan, Claudio Castelnovo

摘要:

我们探讨了准一维轨道罗盘和元胞伊辛模型的有限温度动力学。我们将这些系统映射到一个模型的自由费米子耦合到严格本地化的自旋1/2自由度。在有限温度下,局域化的自由度表现为突现无序,使费米子局域化。虽然该模型可以使用自由费米子技术进行分析,但它与典型的多体局域系统具有共同的动力学特征:从一般的初始状态开始,纠缠以几何方式增长;此外,平衡动力学关联函数以随温度和模型参数连续变化的指数衰减。这些准一维模型提供了一个实验上可实现的设置,其中自然动力学探针显示无无序多体局域化的签名。

英文摘要:

We explore the finite-temperature dynamics of the quasi-1D orbital compass and plaquette Ising models. We map these systems onto a model of free fermions coupled to strictly localized spin-1/2 degrees of freedom. At finite temperature, the localized degrees of freedom act as emergent disorder and localize the fermions. Although the model can be analyzed using free-fermion techniques, it has dynamical signatures in common with typical many-body localized systems: Starting from generic initial states, entanglement grows logarithmically; in addition, equilibrium dynamical correlation functions decay with an exponent that varies continuously with temperature and model parameters. These quasi-1D models offer an experimentally realizable setting in which natural dynamical probes show signatures of disorder-free many-body localization.

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