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Related Experiment Videos

Generic quantum ratchet accelerator with full classical chaos.

Jiangbin Gong1, Paul Brumer

  • 1Department of Physics and Center for Computational Science and Engineering, National University of Singapore, 117542, Republic of Singapore.

Physical Review Letters
|February 7, 2007
PubMed
Summary
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A new quantum ratchet transport model shows unbounded linear acceleration, even with chaotic classical dynamics. This quantum transport is robust to noise, suggesting potential experimental observation.

Area of Science:

  • Quantum mechanics
  • Nonlinear dynamics
  • Condensed matter physics

Background:

  • Quantum ratchet transport describes directed motion in quantum systems driven by asymmetric potentials.
  • Classical dynamics can exhibit complex structures, including chaos, influencing particle transport.
  • Noise can disrupt quantum phenomena, posing challenges for experimental realization.

Purpose of the Study:

  • To propose a simple model for quantum ratchet transport capable of generating unbounded linear acceleration.
  • To investigate the influence of classical phase space structure on quantum ratchet transport.
  • To assess the robustness of quantum ratchet transport in the presence of noise.

Main Methods:

  • Development of a simplified theoretical model for quantum ratchet transport.

Related Experiment Videos

  • Analysis of the underlying classical dynamics, focusing on chaotic behavior.
  • Mathematical investigation of the quantum ratchet current and its response to noise.

    • Main Results:

    • The proposed model demonstrates unbounded linear acceleration of the quantum ratchet current.
    • Quantum ratchet transport is shown to be achievable with any classical phase space structure, including full chaos.
    • The quantum ratchet transport exhibits significant robustness against noise due to large quantum-induced linear acceleration.

    Conclusions:

    • Generic quantum ratchet transport is possible across diverse classical phase space structures.
    • Quantum ratchet transport with fully chaotic classical dynamics offers high noise resilience.
    • The study suggests a feasible experimental setup for observing these quantum transport predictions.