arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2108.02215cond-mat.dis-nncond-mat.stat-mech
收藏

驱动下代数学多体局域化的命运

Fate of Algebraic Many-Body Localization under driving

Heiko Burau, Markus Heyl, Giuseppe De Tomasi

摘要:

在这项工作中,我们调查的稳定性代数本地化阶段定期驾驶。首先,我们专注于一个非相互作用的模型表现出代数本地化的单粒子模式。对于这个模型,我们发现数值上的代数本地化的相位是稳定的驱动下,这意味着该系统保持本地化在任意频率。我们用简单的重整化群参数支持这一结果。其次,我们检查的情况下,短程相互作用被添加。通过研究这两个,本征态性质的Floquet哈密顿量和平衡动力学的相互作用模型,我们提供的证据,遍历性恢复在任何驱动频率。特别是,我们观察到,对于可访问的系统大小的本地化设置在驱动频率,是可比的多体带宽,因此它可能只是瞬态的,这表明该系统可能热化的热力学极限。

英文摘要:

In this work we investigate the stability of an algebraically localized phase subject to periodic driving. First, we focus on a non-interacting model exhibiting algebraically localized single-particle modes. For this model we find numerically that the algebraically localized phase is stable under driving, meaning that the system remains localized at arbitrary frequencies. We support this result with analytical considerations using simple renormalization group arguments. Second, we inspect the case in which short-range interactions are added. By studying both, the eigenstates properties of the Floquet Hamiltonian and the out-of-equilibrium dynamics in the interacting model, we provide evidence that ergodicity is restored at any driving frequencies. In particular, we observe that for the accessible system sizes localization sets in at driving frequency that are comparable with the many-body bandwidth and thus it might be only transient, suggesting that the system might thermalize in the thermodynamic limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑