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Long-Range Resonances in Quasiperiodic Many-Body Localization.

Ashirbad Padhan1, Jeanne Colbois2, Fabien Alet1

  • 1Laboratoire de Physique Théorique, CNRS, Univ. Toulouse, Toulouse, France.

Physical Review Letters
|May 29, 2026
PubMed
Summary
This summary is machine-generated.

We found atypical eigenstates with long-range correlations in quasiperiodic many-body localized (MBL) systems. These resonant cat states challenge standard MBL diagnostics and suggest new experimental probes.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Disordered Systems

Background:

  • Many-body localized (MBL) systems avoid thermalization due to disorder.
  • Quasiperiodic potentials can also induce MBL, but their transitions are expected to be sharp.
  • Standard diagnostics for MBL include energy level statistics and entanglement entropy.

Purpose of the Study:

  • Investigate long-range resonances in quasiperiodic MBL systems.
  • Analyze pairwise correlations in the Heisenberg chain within an Aubry-André potential.
  • Identify the nature of eigenstates in unconventional regimes.

Main Methods:

  • Focus on the Heisenberg chain model with a deterministic Aubry-André potential.
  • Analyze long-distance pairwise correlations at high energy.
  • Complement standard MBL diagnostics with correlation function analysis.

Main Results:

  • Uncovered a broad unconventional regime at strong quasiperiodic potential.
  • Observed fat-tailed distributions of longitudinal correlations at long distances.
  • Identified anomalous eigenstates as quasidegenerate pairs of resonant cat states with long-range entanglement.

Conclusions:

  • Atypical eigenstates with strong long-range correlations exist in a regime that appears MBL by standard diagnostics.
  • These findings challenge the expected sharpness of the ergodic-MBL transition in quasiperiodic systems.
  • Density-correlation measurements in ultracold atoms can probe these long-range resonances.