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Almost conserved operators in nearly many-body localized systems

Author(s): Pancotti, Nicola; Knap, Michael; Huse, David A; Cirac, J Ignacio; Banuls, Mari Carmen

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Abstract: We construct almost conserved local operators, that possess a minimal commutator with the Hamiltonian of the system, near the many-body localization transition of a one-dimensional disordered spin chain. We collect statistics of these slowoperators for different support sizes and disorder strengths, both using exact diagonalization and tensor networks. Our results show that the scaling of the average of the smallest commutators with the support size is sensitive to Griffiths effects in the thermal phase and the onset of many-body localization. Furthermore, we demonstrate that the probability distributions of the commutators can be analyzed using extreme value theory and that their tails reveal the difference between diffusive and subdiffusive dynamics in the thermal phase.
Publication Date: 23-Mar-2018
Citation: Pancotti, Nicola, Knap, Michael, Huse, David A, Cirac, J Ignacio, Banuls, Mari Carmen. (2018). Almost conserved operators in nearly many-body localized systems. PHYSICAL REVIEW B, 97 (10.1103/PhysRevB.97.094206
DOI: doi:10.1103/PhysRevB.97.094206
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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