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Quantum ratchets in dissipative chaotic systems.

Gabriel G Carlo1, Giuliano Benenti, Giulio Casati

  • 1Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria and Istituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy.

Physical Review Letters
|May 21, 2005
PubMed
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This study explores a quantum chaotic dissipative ratchet, revealing directed transport from a quantum strange attractor. It demonstrates a transition from quantum to classical behavior, with potential applications for cold atoms in optical lattices.

Area of Science:

  • Quantum physics
  • Non-equilibrium statistical mechanics
  • Condensed matter physics

Background:

  • Quantum chaotic systems exhibit complex dynamics.
  • Dissipative environments influence quantum system behavior.
  • Ratchet mechanisms enable directed transport without a global bias.

Purpose of the Study:

  • Investigate a quantum chaotic dissipative ratchet model.
  • Analyze directed transport emerging from a quantum strange attractor.
  • Examine the transition from quantum to classical behavior.

Main Methods:

  • Quantum trajectories method.
  • Analysis of particles in a pulsed asymmetric potential.
  • Inclusion of a dissipative environment.

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Main Results:

  • Directed transport observed, originating from a quantum strange attractor.
  • Demonstrated a transition from quantum to classical behavior in the small effective Planck constant limit.
  • Identified suitable parameters for experimental implementation with cold atoms.

Conclusions:

  • The quantum chaotic dissipative ratchet model successfully shows directed transport.
  • The correspondence principle is validated through the quantum-to-classical transition.
  • The findings provide a roadmap for realizing quantum ratchet effects in cold atom systems.