Long-range resonances in quasiperiodic many-body localization
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913138937430016 |
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| author | Padhan, Ashirbad Colbois, Jeanne Alet, Fabien Laflorencie, Nicolas |
| author_facet | Padhan, Ashirbad Colbois, Jeanne Alet, Fabien Laflorencie, Nicolas |
| contents | We investigate long-range resonances in quasiperiodic many-body localized (MBL) systems. Focusing on the Heisenberg chain in a deterministic Aubry-André
potential, we complement standard diagnostics by analyzing the structure of long-distance pairwise correlations at high energy. Contrary to the expectation that the ergodic-MBL transition in quasiperiodic systems should be sharper due to the absence of Griffiths regions, we uncover a broad unconventional regime at strong quasiperiodic potential, characterized by fat-tailed distributions of longitudinal correlations at long distance. This reveals the presence of atypical eigenstates with strong long-range correlations in a regime where standard diagnostics indicate stable MBL. We further identify these anomalous eigenstates as quasi-degenerate pairs of resonant cat states, which exhibit entanglement at long distance. These findings advance the understanding of quasiperiodic MBL and identify density-correlation measurements in ultracold atomic systems as a probe of long-range resonances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-range resonances in quasiperiodic many-body localization Padhan, Ashirbad Colbois, Jeanne Alet, Fabien Laflorencie, Nicolas Disordered Systems and Neural Networks Quantum Gases Strongly Correlated Electrons Quantum Physics We investigate long-range resonances in quasiperiodic many-body localized (MBL) systems. Focusing on the Heisenberg chain in a deterministic Aubry-André potential, we complement standard diagnostics by analyzing the structure of long-distance pairwise correlations at high energy. Contrary to the expectation that the ergodic-MBL transition in quasiperiodic systems should be sharper due to the absence of Griffiths regions, we uncover a broad unconventional regime at strong quasiperiodic potential, characterized by fat-tailed distributions of longitudinal correlations at long distance. This reveals the presence of atypical eigenstates with strong long-range correlations in a regime where standard diagnostics indicate stable MBL. We further identify these anomalous eigenstates as quasi-degenerate pairs of resonant cat states, which exhibit entanglement at long distance. These findings advance the understanding of quasiperiodic MBL and identify density-correlation measurements in ultracold atomic systems as a probe of long-range resonances. |
| title | Long-range resonances in quasiperiodic many-body localization |
| topic | Disordered Systems and Neural Networks Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2510.24704 |