Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization

• URL: http://arxiv.org/abs/2110.10148v1
• Date: Tue, 19 Oct 2021 17:59:03 GMT
• Title: Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization
• Authors: Gregory A. Hamilton and Bryan K. Clark
• Abstract summary: We probe the bulk geometry of the Wegner Wilson Flow (WWF) in the context of many-body localization. We connect these upper bounds to the Fubini-Study metric and clarify how a central quantity, the information complexity, distinguishes bulk unitary rotation from entanglement production.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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