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Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

TitleMomentum-space entanglement after a quench in one-dimensional disordered fermionic systems
Publication TypeJournal Article
Year of Publication2019
AuthorsR. Lundgren, F. Liu, P. Laurell, and G. A. Fiete
JournalPhys. Rev. B
Volume100
Pagination241108
Date PublishedDEC 13
Type of ArticleArticle
ISSN2469-9950
Abstract

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 logarithmiclike 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.

DOI10.1103/PhysRevB.100.241108