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arXiv · 1607.08611

Logarithmic Entanglement Lightcone in Many-Body Localized Systems

Dong-Ling Deng·Xiaopeng Li·J. H. Pixley·Yang-Le Wu·S. Das Sarma
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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 post-quench eigenstates decays {\it exponentially} with the system size.

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Dong-Ling Deng, Xiaopeng Li, J. H. Pixley, Yang-Le Wu, S. Das Sarma. 2016-07-28. Logarithmic Entanglement Lightcone in Many-Body Localized Systems. https://doi.org/10.1103/physrevb.95.024202

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