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

Author:

David Aceituno Chávez, Claudia Artiaco, Thomas Klein Kvorning, Loïc Herviou, Jens H. Bardarson

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Statistical Mechanics (cond-mat.stat-mech), Quantum Physics (quant-ph)

journal:

date:

2023-12-20 00:00:00

Abstract

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 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 N\'eel 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.

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