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Relatively robust classical structures in dissipative quantum chaotic systems.

Lisandro A Raviola1, Gabriel G Carlo, Alejandro M F Rivas

  • 1Departamento de Física, CNEA, Avenida del Libertador 8250, C1429BNP Buenos Aires, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2010
PubMed
Summary
This summary is machine-generated.

We investigated quantum systems and found that scar functions, crucial for chaotic systems, are surprisingly stable against environmental noise. Purity and fidelity act as complementary measures of this quantum decoherence.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Area of Science:

  • Quantum mechanics
  • Classical chaos
  • Statistical physics

Background:

  • Chaotic systems exhibit complex dynamics.
  • Quantum evolution can be affected by dissipation and environmental interactions.
  • Scar functions are key to understanding semiclassical behavior in chaotic systems.

Purpose of the Study:

  • To investigate the stability of classical structures in chaotic systems under dissipative quantum evolution.
  • To analyze the role of scar functions in the presence of environmental perturbations.
  • To identify reliable measures of decoherence.

Main Methods:

  • Studied the quantum baker map, a model for chaotic systems.
  • Incorporated a heat bath at finite temperature to simulate dissipative quantum evolution.
  • Analyzed purity, fidelity, and Husimi distributions of various quantum states.

Main Results:

  • Scar functions, localized on periodic orbits, demonstrated significant robustness against environmental perturbations compared to other states.
  • Purity and fidelity exhibited complementary behavior, serving as effective decoherence measures.
  • The study confirmed the stability of specific quantum states in a dissipative chaotic environment.

Conclusions:

  • Scar functions are remarkably stable under dissipative quantum evolution in chaotic systems.
  • Purity and fidelity provide a complementary understanding of decoherence.
  • Environmental perturbations do not necessarily destroy all quantum structures in chaotic systems.