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arXiv · 2312.13420

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

David Aceituno Chávez·Claudia Artiaco·Thomas Klein Kvorning·Loïc Herviou·Jens H. Bardarson
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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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David Aceituno Chávez, Claudia Artiaco, Thomas Klein Kvorning, Loïc Herviou, Jens H. Bardarson. 2023-12-20. Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization. https://doi.org/10.1103/physrevlett.133.126502

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