论文标题
定期踢出的准晶格中的本地化，多纹理和多体定位
Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
论文作者
论文摘要
我们研究了准周期疾病，驱动和相互作用的综合作用，并在定期踢出的Aubry-André模型中。 In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a dynamical localization transition in the high-frequency region, whereas the spectrum statistics becomes intricate in the low-frequency region due to the emergence of the extended/localized-to-multifractal edges in the quasienergy spectrum, which separate the multifractal states from the extended (localized)国家。当引入相互作用时，我们发现周期性踢出的不相关电位可能会导致高频区域从厄尔贡型到多体裂解阶段的过渡。然而，即使对于强烈的准二氧化疾病，多体定位阶段在低频区域也消失了。我们的研究表明，定期踢的Aubry-André模型表现出丰富的动力学现象，驱动频率除了疾病强度外，在多体定位的形成中起着重要作用。
We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-André model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a dynamical localization transition in the high-frequency region, whereas the spectrum statistics becomes intricate in the low-frequency region due to the emergence of the extended/localized-to-multifractal edges in the quasienergy spectrum, which separate the multifractal states from the extended (localized) states. When the interaction is introduced, we find the periodically kicked incommensurate potential can lead to a transition from ergodic to many-body-localization phase in the high-frequency region. However, the many-body localization phase vanishes in the low-frequency region even for strong quasiperiodic disorder. Our studies demonstrate that the periodically kicked Aubry-André model displays rich dynamical phenomena and the driving frequency plays an important role in the formation of many-body localization in addition to the disorder strength.
