Quantifying unitary flow efficiency and entanglement for many-body localization

Gregory A. Hamilton, Bryan K. Clark

Research output: Contribution to journalArticlepeer-review


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 dimensionindependent, universal factor of c=2.

Original languageEnglish (US)
Article number064203
JournalPhysical Review B
Issue number6
StatePublished - Feb 1 2023

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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