Entanglement dynamics in the three-dimensional Anderson model

2020/10/13 by Y. Zhao, Yang Zhao, D. Feng +7
Mathematics · Physics and Astronomy · #Condensed matter physics #Entropy (arrow of time) #Logarithm #Logarithmic growth #Mathematical analysis #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Scaling #Statistical physics #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.102.195132

published as Phys. Rev. B 102, 195132 (2020)

arxiv created 2020/10/13 · openalex publication_date 2020/11/18 · arxiv updated 2020/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The authors study the metal-insulator transition in the three-dimensional Anderson model from the entanglement perspective. They show that at the transition point the entanglement entropy after a quantum quench grows logarithmically in time, while the number entropy shows a double logarithmic growth. This behavior is consistent with exact bounds. It is also the same scaling recently found in many-body localized (MBL) phases, suggesting that the MBL phase might be more akin to an extended critical regime, rather than a fully localized phase.

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