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Quantum diffusion in a 1D Anderson model with M-color quasiperiodic oscillations shows a localization-delocalization transition for M≥3. Normal diffusion recovers above a critical perturbation strength.

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Area of Science:

  • Quantum dynamics
  • Condensed matter physics
  • Disordered systems

Background:

  • Anderson localization describes the suppression of wave function propagation in disordered systems.
  • Quasiperiodic potentials introduce complex behaviors distinct from random disorder.
  • Quantum diffusion dynamics are sensitive to system parameters like disorder and perturbation.

Purpose of the Study:

  • Investigate quantum diffusion in a 1D Anderson model with M-color quasiperiodic harmonic oscillations.
  • Systematically analyze localization-delocalization characteristics with respect to disorder strength (W), perturbation strength (ε), and number of colors (M).
  • Focus on the localization-delocalization transition (LDT) and its critical properties.

Main Methods:

  • Numerical investigation of a time-continuous one-dimensional Anderson model.
  • Systematic variation of disorder strength (W), perturbation strength (ε), and number of colors (M).
  • Analysis of localization-delocalization transition (LDT) and diffusion dynamics.

Main Results:

  • For M≥3, a localization-delocalization transition (LDT) exists.
  • Normal diffusion is recovered above a critical perturbation strength (ε).
  • Diffusion dynamics resemble those of stochastically perturbed Anderson models even for moderate M.

Conclusions:

  • The M-color quasiperiodic perturbation can induce delocalization in a 1D Anderson model.
  • The number of colors (M) acts analogously to spatial dimension in controlling diffusion behavior.
  • Critical properties of LDT are observed and compared with discrete-time quantum maps.