Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
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DOI：
10.1103/physrevb.100.241108
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发表时间：
2019-09
影响因子：
3.7
通讯作者：
Rex Lundgren;Fangli Liu;P. Laurell;G. Fiete
中科院分区：
文献类型：
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作者：
Rex Lundgren;Fangli Liu;P. Laurell;G. Fiete
我们数值研究了随机二聚体模型及其推广模型的动量-空间纠缠熵和纠缠谱，它们绕过了安德森局域化，在哈密顿参数猝灭后。发生的动力学类型取决于初始状态的费米能级是否接近这些模型中存在的离域态的能量。如果初始态的费米能级接近离域态的能量，我们观察到一个有趣的缓慢的动量-空间纠缠熵的增长，然后最终饱和。否则，动量空间纠缠熵被发现迅速饱和。我们还发现，动量-空间纠缠谱揭示了这些模型中的离域态的存在，在淬火后的很长一段时间内，多体纠缠间隙随时间的费米能级附近的离域态的能量的时间的衰减。
We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type of dynamics that occurs depends on whether or not the Fermi level of the initial state is near the energy of the delocalized states present in these models. If the Fermi level of the initial state is near the energy of the delocalized states, we observe an interesting slow logarithmic-like growth of the momentum-space entanglement entropy followed by an eventual saturation. Otherwise, the momentum-space entanglement entropy is found to rapidly saturate. We also find that the momentum-space entanglement spectrum reveals the presence of delocalized states in these models for long times after the quench and the many-body entanglement gap decays logarithmically in time when the Fermi level is near the energy of the delocalized states.