Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913581588545536 |
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| author | Chávez, David Aceituno Artiaco, Claudia Kvorning, Thomas Klein Herviou, Loïc Bardarson, Jens H. |
| author_facet | Chávez, David Aceituno Artiaco, Claudia Kvorning, Thomas Klein Herviou, Loïc Bardarson, Jens H. |
| contents | 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13420 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization Chávez, David Aceituno Artiaco, Claudia Kvorning, Thomas Klein Herviou, Loïc Bardarson, Jens H. Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics 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 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. |
| title | Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2312.13420 |