Quantifying unitary flow efficiency and entanglement for many-body localization

Hamilton, Gregory A.; Clark, Bryan K.

doi:10.1103/physrevb.107.064203

Quantifying unitary flow efficiency and entanglement for many-body localization

Journal Article · Tue Feb 14 04:00:00 EST 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.107.064203· OSTI ID:2372918

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University of Illinois at Urbana Champaign, IL (United States); University of Illinois at Urbana Champaign
University of Illinois at Urbana Champaign, IL (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: University of Illinois at Urbana Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0020165

OSTI ID:: 2372918

Alternate ID(s):: OSTI ID: 1924596

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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75 CONDENSED MATTER PHYSICS
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