Ultraslow Growth of Number Entropy in an ℓ-Bit Model of Many-Body Localization

We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this, we construct a novel random circuit ℓ-bit model with exponentially localized ℓ-bits and exponentially decaying interactions between them. We obse...

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Bibliographic Details
Published in:Physical review letters 2024-09, Vol.133 (12), p.126502, Article 126502
Main Authors: Aceituno Chávez, David, Artiaco, Claudia, Klein Kvorning, Thomas, Herviou, Loïc, Bardarson, Jens H
Format: Article
Language:English
Subjects:
Condensed Matter
Disordered Systems and Neural Networks
Physics
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Summary:We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this, we construct a novel random circuit ℓ-bit model with exponentially localized ℓ-bits and exponentially decaying interactions between them. We observe an ultraslow growth of the number entropy starting from a Néel state, saturating at a value that grows with system size. This suggests that the observation of such growth in microscopic models is not sufficient to rule out many-body localization.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.133.126502