Krylov complexity of many-body localization: Operator localization in Krylov basis

We study the operator growth problem and its complexity in the many-body localization (MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator growth problem can be viewed as a single-particle hopping problem on a semi-infinite chain with the hopping amplitudes given...

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Bibliographic Details
Main Author: Fabian Ballar Trigueros, Cheng-Ju Lin
Format: Article
Language:English
Published: SciPost 2022-08-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.13.2.037