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pith:H5W7O4PK

pith:2025:H5W7O4PKXP4LCKOBKFPRPXVX5Q
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Long-range resonances in quasiperiodic many-body localization

Ashirbad Padhan, Fabien Alet, Jeanne Colbois, Nicolas Laflorencie

Quasiperiodic many-body localization features a broad regime of long-range resonances at strong potentials.

arxiv:2510.24704 v2 · 2025-10-28 · cond-mat.dis-nn · cond-mat.quant-gas · cond-mat.str-el · quant-ph

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Claims

C1strongest claim

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.

C2weakest assumption

That standard MBL diagnostics such as level statistics or entanglement entropy are sufficient to confirm the stability of the MBL phase and the absence of long-range resonances, an assumption challenged by the observed fat-tailed correlation distributions at strong potentials.

C3one line summary

Quasiperiodic MBL systems host a broad unconventional regime with fat-tailed long-distance correlations and resonant cat states beyond what standard diagnostics detect.

References

113 extracted · 113 resolved · 1 Pith anchors

[1] L. Fleishman and P. W. Anderson, Interactions and the ander- son transition, Phys. Rev. B21, 2366 (1980) 1980
[2] P. Jacquod and D. L. Shepelyansky, Emergence of Quantum ChaosinFiniteInteractingFermiSystems,Phys.Rev.Lett.79, 1837 (1997) 1997
[3] B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov, Quasiparticle lifetime in a finite system: A nonperturbative approach, Phys. Rev. Lett.78, 2803 (1997) 1997
[4] I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, Interacting Electrons in Disordered Wires: Anderson Localization and Low-T Transport, Phys. Rev. Lett.95, 206603 (2005) 2005
[5] D. Basko, I. Aleiner, and B. Altshuler, Metal–insulator transi- tion in a weakly interacting many-electron system with local- izedsingle-particlestates,AnnalsofPhysics321,1126(2006) 2006

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First computed 2026-05-20T00:05:35.597464Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3f6df771eabbf8b129c1515f17deb7ec104da071698655a6265be63f7cc1ea70

Aliases

arxiv: 2510.24704 · arxiv_version: 2510.24704v2 · doi: 10.48550/arxiv.2510.24704 · pith_short_12: H5W7O4PKXP4L · pith_short_16: H5W7O4PKXP4LCKOB · pith_short_8: H5W7O4PK
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5W7O4PKXP4LCKOBKFPRPXVX5Q \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3f6df771eabbf8b129c1515f17deb7ec104da071698655a6265be63f7cc1ea70
Canonical record JSON
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