Long-range resonances in quasiperiodic many-body localization
Abstract
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.
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BibTeX
@article{padhan2026longrange,
title = {{Long-range resonances in quasiperiodic many-body localization}},
author = {Ashirbad Padhan and Jeanne Colbois and Fabien Alet and Nicolas Laflorencie},
journal = {Physical Review Letters},
year = {2026},
month = oct,
doi = {10.1103/h9mp-t4qz},
eprint = {2510.24704},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05411934v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Long-range resonances in quasiperiodic many-body localization
AU - Ashirbad Padhan
AU - Jeanne Colbois
AU - Fabien Alet
AU - Nicolas Laflorencie
PY - 2026
DA - 2026/10/02
JO - Physical Review Letters
DO - 10.1103/h9mp-t4qz
UR - https://hal.science/hal-05411934v1
AB - 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.
SN - 0031-9007
SN - 1079-7114
ER -