Floquet拟周期链中无微调的多重分形。

S. Roy, Ivan M Khaymovich, Arnab Das, R. Moessner
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引用次数: 35

摘要

周期性驱动或Floquet无序量子系统最近产生了许多意想不到的发现,例如异常Floquet Anderson绝缘体和离散时间晶体。在这里,我们报告了在受空间准周期无序影响的周期性驱动的非相互作用粒子链中出现的整个多重分形波函数带。值得注意的是,这种多重分形是鲁棒的,因为它不需要对模型参数进行任何微调,这将它与已知的临界波函数的多重分形区分开来。当周期性驱动混合了非驱动频谱的局部和非局部部分时,多重分形就出现了。我们用一个简单的基于随机矩阵的理论来解释这种现象。最后,我们讨论了多重分形态的动力学特征,这些特征在冷原子实验中应该显示出它们的存在。这种简单而稳健的多重分形实现可以将这种迄今为止难以捉摸的现象推向应用,例如提出的无序诱导的超流体转变增强。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multifractality without fine-tuning in a Floquet quasiperiodic chain.
Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band of multifractal wavefunctions in a periodically driven chain of non-interacting particles subject to spatially quasiperiodic disorder. Remarkably, this multifractality is robust in that it does not require any fine-tuning of the model parameters, which sets it apart from the known multifractality of $critical$ wavefunctions. The multifractality arises as the periodic drive hybridises the localised and delocalised sectors of the undriven spectrum. We account for this phenomenon in a simple random matrix based theory. Finally, we discuss dynamical signatures of the multifractal states, which should betray their presence in cold atom experiments. Such a simple yet robust realisation of multifractality could advance this so far elusive phenomenon towards applications, such as the proposed disorder-induced enhancement of a superfluid transition.
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