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Quantum isoperiodic stable structures and directed transport.

Gabriel G Carlo1

  • 1Departamento de Física, CNEA, Libertador 8250, (C1429BNP) Buenos Aires, Argentina. carlo@tandar.cnea.gov.ar

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|September 26, 2012
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Summary
This summary is machine-generated.

Quantum counterparts of classical stable structures, quantum ISSs, play a key role in quantum current behavior. Adding thermal fluctuations to classical ISSs approximates quantum ISSs, suggesting a general method for analyzing quantum chaotic attractors.

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Area of Science:

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

Background:

  • Isoperiodic stable structures (ISSs) are crucial for classical current in dissipative ratchets.
  • Quantum ISSs (QISSs) are the quantum mechanical analogs of ISSs.
  • QISSs exhibit simple attractor shapes but often differ significantly from their classical counterparts.

Purpose of the Study:

  • To analyze the properties and behavior of quantum ISSs (QISSs).
  • To investigate the relationship between QISSs and quantum chaotic attractors.
  • To develop a method for approximating QISSs and quantum chaotic attractors.

Main Methods:

  • Analysis of quantum ISSs in dissipative systems.
  • Introduction of thermal fluctuations (of size ħ(eff)) to classical ISSs.
  • Comparison of approximated QISSs with actual QISSs and quantum chaotic attractors.

Main Results:

  • QISSs share simple attractor shapes with short-time classical ISSs.
  • QISSs often resemble nearby quantum chaotic attractors.
  • Adding thermal fluctuations to classical ISSs provides good approximations of QISSs.

Conclusions:

  • Quantum ISSs are fundamental to quantum current behavior in dissipative systems.
  • Quantum chaotic attractors can be approximated using classical ISS information plus thermal fluctuations.
  • This approximation method is expected to be applicable to general quantum dissipative systems.