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Logarithmic entanglement lightcone in many-body localized systems

TitleLogarithmic entanglement lightcone in many-body localized systems
Publication TypeJournal Article
Year of Publication2017
AuthorsD-L. Deng, X. Li, J.. H. Pixley, Y-. Le Wu, and D. S. Sarma
JournalPHYSICAL REVIEW B
Volume95
Pagination024202
Date PublishedJAN 10
ISSN2469-9950
Abstract

We theoretically study the response of a many-body localized system to a local quench from a quantum information perspective. We find that the local quench triggers entanglement growth throughout the whole system, giving rise to a logarithmic lightcone. This saturates the modified Lieb-Robinson bound for quantum information propagation in many-body localized systems previously conjectured based on the existence of local integrals of motion. In addition, near the localization-delocalization transition, we find that the final states after the local quench exhibit volume-law entanglement. We also show that the local quench induces a deterministic orthogonality catastrophe for highly excited eigenstates, where the typical wave-function overlap between the pre- and postquench eigenstates decays exponentially with the system size.

DOI10.1103/PhysRevB.95.024202