Ultraslow Growth of Number Entropy in an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>ℓ</mml:mo></mml:math>-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 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.
Authors
- Loïc Herviou (ORCID: https://orcid.org/0000-0003-4220-8785)
- Jens H. Bardarson (ORCID: https://orcid.org/0000-0003-3328-8525)
- David Aceituno Chávez (ORCID: https://orcid.org/0009-0008-8177-9218)
- Thomas Klein Kvorning (ORCID: https://orcid.org/0000-0001-7399-9618)
- Claudia Artiaco (ORCID: https://orcid.org/0000-0002-0141-1878)
Institutions
- Institut des langues et cultures d'Europe, Amérique, Afrique, Asie et Australie (FR)
- École Polytechnique Fédérale de Lausanne (CH)
- KTH Royal Institute of Technology (SE)
- Université Grenoble Alpes (FR)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2024-09-17
- DOI
- https://doi.org/10.1103/physrevlett.133.126502
- Citations
- 11
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 3.71
Funders
- National Science Foundation
- Wenner-Gren Foundation
- Wenner-Gren Stiftelserna
- European Commission
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Vetenskapsrådet
- Horizon 2020 Framework Programme
- European Research Council