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arXiv · 2110.10148

Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization

Gregory A. Hamilton·Bryan K. Clark
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Abstract

We probe the bulk geometry of the Wegner Wilson Flow (WWF) in the context of many-body localization, by addressing efficiency and bulk entanglement growth measures through approximating upper bounds on the boundary entanglement entropy. We connect these upper bounds to the Fubini-Study metric and clarify how a central quantity, the information fluctuation complexity, distinguishes bulk unitary rotation from entanglement production. We also give a short new proof of the small incremental entangling theorem in the absence of ancillas, achieving a dimension-independent, universal factor of $c= 2$.

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Gregory A. Hamilton, Bryan K. Clark. 2021-10-19. Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization. https://arxiv.org/abs/2110.10148

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