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DOE OSTI · 2372918

Quantifying unitary flow efficiency and entanglement for many-body localization

Hamilton, Gregory A.·Clark, Bryan K.
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Abstract

Holography tells us that there should be a mapping between a boundary Hamiltonian and bulk degrees of freedom. 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. Here, 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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75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYEntanglement entropyMany-body localizationQuantum entanglementRenormalizationTensor network methods

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Hamilton, Gregory A., Clark, Bryan K.. 2023-02-14. Quantifying unitary flow efficiency and entanglement for many-body localization. https://doi.org/10.1103/physrevb.107.064203

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