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Updated: Dec 20, 2025

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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Thouless Time Analysis of Anderson and Many-Body Localization Transitions.

Piotr Sierant1, Dominique Delande2, Jakub Zakrzewski1,3

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Summary

Spectral statistics in disordered systems reveal key timescales. Their ratio predicts chaotic or localized behavior, with similar scaling observed across different system types near localization transitions.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Chaos
  • Disordered Systems

Background:

  • Spectral statistics in disordered systems are crucial for understanding quantum dynamics.
  • The ratio of Thouless and Heisenberg timescales distinguishes between chaotic and localized behavior.
  • Anderson localization is a key phenomenon in disordered quantum systems.

Purpose of the Study:

  • To investigate the scaling of Thouless time in disordered systems.
  • To compare scaling behavior in one-body Anderson models and many-body systems.
  • To identify signatures of the transition to the localized phase.

Main Methods:

  • Analysis of spectral statistics in disordered systems.
  • Theoretical modeling of one-body Anderson models.
  • Examination of disordered quantum many-body systems.

Main Results:

  • The scaling of Thouless time with system size and disorder strength is similar in one-body and many-body disordered systems.
  • A breakdown of two-parameter scaling is observed near the localization transition.
  • This breakdown signals a significant slowing down of system dynamics.

Conclusions:

  • The scaling properties of Thouless time provide a universal indicator of localization.
  • Two-parameter scaling is a robust concept but has limitations near critical points.
  • Slowing dynamics are a hallmark of the approach to Anderson localization.