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Dynamical delocalization in one-dimensional disordered systems with oscillatory perturbation.

H Yamada1, K S Ikeda

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Dynamical perturbation disrupts quantum localization in one-dimensional disordered quantum systems. Introducing multiple frequencies leads to diffusive behavior, transitioning from subdiffusion to normal diffusion as perturbation strength increases.

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Area of Science:

  • Quantum Mechanics
  • Condensed Matter Physics
  • Statistical Physics

Background:

  • Quantum localization is a phenomenon in disordered quantum systems where wave packets remain spatially confined.
  • Dynamical perturbations can significantly alter the behavior of quantum systems, potentially overcoming localization effects.

Purpose of the Study:

  • To investigate the impact of dynamical perturbation on quantum localization in one-dimensional disordered quantum systems (1DDS).
  • To characterize the emergent diffusive behavior and its dependence on perturbation parameters.

Main Methods:

  • Numerical investigation of a 1DDS subjected to an oscillatory driving force with M incommensurate frequency components.
  • Analysis of wave packet dynamics, including mean square displacement and distribution function evolution.

Main Results:

  • For M>=2, dynamical perturbation induces diffusive behavior, suppressing the numerically detectable finite localization length.
  • Diffusive motion follows a subdiffusion law (xi(t)^2 proportional to t^alpha), with alpha approaching 1 (normal diffusion) as M and perturbation strength increase.
  • The space-time dependence of the distribution function P(x,t) is unified by scaling exponents alpha and beta, encompassing both localization and normal diffusion limits.

Conclusions:

  • Dynamical perturbation can effectively overcome quantum localization in 1DDS, leading to diffusive transport.
  • The system's behavior transitions from subdiffusion to normal diffusion, controllable by perturbation parameters.
  • A unified scaling form describes the distribution function across different dynamical regimes.