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Related Experiment Videos

Classical momentum diffusion in double-delta-kicked particles.

M M A Stocklin1, T S Monteiro

  • 1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
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We studied chaotic diffusion in atoms using light pulses (2delta-KP). We found diffusion is hindered, never exceeding a random walk rate, unlike the standard map.

Area of Science:

  • Atomic physics
  • Quantum chaos
  • Nonlinear dynamics

Background:

  • Recent experiments suggest cold atoms exhibit chaotic diffusion distinct from the standard map.
  • The 2delta-KP model involves atoms subjected to pairs of light pulses with a small time interval.
  • Phase space in 2delta-KP is characterized by momentum cells and trapping regions.

Purpose of the Study:

  • To analytically derive classical diffusion for the 2delta-KP model.
  • To compare the diffusion behavior of 2delta-KP with the standard map.
  • To analyze the experimental regime and its relation to quantum localization.

Main Methods:

  • Analytical derivation of classical diffusion, including correlations.
  • Analysis of asymptotic diffusion regimes (t-->infinity).

Related Experiment Videos

  • Investigation of the experimental regime (0.1 <= KE <= 1).

    • Main Results:

    • The 2delta-KP model exhibits "hindered" diffusion, with a rate that never exceeds a random walk.
    • Diffusion rate is found to be asymptotically proportional to K^3*E in the experimental regime.
    • Destruction of "accelerator modes" is proposed as the cause for hindered diffusion.

    Conclusions:

    • The 2delta-KP model presents a novel form of chaotic diffusion.
    • The findings explain experimental observations in cold atom systems.
    • Understanding hindered diffusion is crucial for quantum localization phenomena.