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Related Experiment Videos

Directed anomalous diffusion without a biased field: a ratchet accelerator.

Jiangbin Gong1, Paul Brumer

  • 1Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Canada M5S 3H6.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 25, 2004
PubMed
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Researchers achieved directed classical current in a modified kicked rotor model by breaking spatial symmetry. A similar directed quantum current was observed, even with quantum coherence effects present.

Area of Science:

  • * Condensed matter physics
  • * Quantum dynamics
  • * Classical mechanics

Background:

  • * Directed current generation typically requires biased external fields.
  • * Understanding transport phenomena in Hamiltonian systems is crucial.
  • * The kicked rotor model serves as a fundamental system for studying classical and quantum dynamics.

Purpose of the Study:

  • * To investigate the possibility of generating directed classical current without external bias.
  • * To explore the behavior of directed current in a quantum system derived from a classical model.
  • * To analyze the influence of quantum coherence on directed current.

Main Methods:

  • * Development of a modified kicked rotor model Hamiltonian.
  • * Breaking spatial symmetry in the classical phase space.

Related Experiment Videos

  • * Analyzing classical and quantum dynamics of the system.
  • Main Results:

    • * Directed classical current, linearly increasing with time, was achieved by breaking spatial symmetry.
    • * Quantum coherence effects were found to suppress and potentially reverse the directed current.
    • * A directed quantum current, linearly increasing with time, was realized in a system far from the classical limit.

    Conclusions:

    • * Spatial symmetry breaking is a viable mechanism for generating directed classical current.
    • * Quantum effects present unique challenges and opportunities for directed current generation.
    • * The study demonstrates the potential for directed quantum transport in non-classical regimes.