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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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Interplay between Anderson and Stark localization in 2D lattices.

A R Kolovsky1

  • 1Kirensky Institute of Physics and Siberian Federal University, 660036 Krasnoyarsk, Russia.

Physical Review Letters
|December 31, 2008
PubMed
Summary
This summary is machine-generated.

Quantum particle dynamics in 2D lattices with disorder show localization along a static field and diffusion in the orthogonal direction. An analytical diffusion coefficient for weak disorder is confirmed by simulations, suggesting a universal equation for all strengths.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Understanding quantum particle behavior in disordered systems is crucial for solid-state physics.
  • Static fields significantly influence quantum dynamics in lattice structures.
  • Disorder introduces complex phenomena like localization and diffusion.

Purpose of the Study:

  • To investigate the dynamics of a quantum particle in a 2D lattice with on-site disorder under a static field.
  • To determine the particle's localization and diffusion behavior in response to disorder and field.
  • To derive and validate an analytical expression for the diffusion coefficient.

Main Methods:

  • Theoretical analysis of quantum particle dynamics in 2D lattices.
  • Application of band random matrix theory for weak disorder analysis.
  • Numerical simulations of particle dynamics to confirm theoretical predictions.

Main Results:

  • The quantum particle exhibits localization along the static field direction.
  • Diffusive dynamics are observed in the direction orthogonal to the field at long times.
  • An analytical expression for the diffusion coefficient was derived for weak disorder and confirmed numerically.

Conclusions:

  • The study reveals anisotropic transport properties in disordered 2D quantum systems under a static field.
  • Numerical simulations validate the analytical findings and suggest a universal diffusion coefficient equation.
  • The research provides insights into quantum transport phenomena in complex lattice environments.