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Disorder induced regular dynamics in oscillating lattices.

Thomas Wulf1, Benno Liebchen1, Peter Schmelcher2

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Weak disorder surprisingly induces regular motion in oscillating lattices, causing particles to accumulate in specific phase space structures. This counterintuitive effect, observed in classical particle dynamics, is detectable in experiments with cold atoms.

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Area of Science:

  • Classical mechanics
  • Condensed matter physics
  • Nonlinear dynamics

Background:

  • Particles in periodically driven systems can exhibit complex dynamics.
  • Disorder is typically associated with increased randomness and diffusion.
  • Understanding particle behavior in driven lattices is crucial for various physical phenomena.

Purpose of the Study:

  • To investigate the effect of weak disorder on classical particle dynamics in oscillating lattices.
  • To explore the counterintuitive phenomenon of disorder leading to regular motion.
  • To identify experimental signatures of this disorder-induced regularity.

Main Methods:

  • Simulations of classical particle dynamics in a 1D periodically driven lattice.
  • Introduction of weak, localized disorder into the lattice potential.
  • Analysis of particle trajectories, velocity distributions, and phase space structures.

Main Results:

  • Weak disorder transitions particle motion from diffusive to regular.
  • Localized disorder causes particles to accumulate in specific phase space regions.
  • Pronounced peaks emerge in the velocity distribution, indicating regular behavior.

Conclusions:

  • Disorder can induce order in classical particle systems under specific conditions.
  • The observed phenomenon offers a novel mechanism for controlling particle dynamics.
  • Experimental detection with cold atoms in optical lattices is feasible.