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Decoherence for classically chaotic quantum maps.

Pablo Bianucci1, Juan Pablo Paz, Marcos Saraceno

  • 1Departamento de Física J.J. Giambiagi, FCEN, UBA, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2002
PubMed
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This study explores open quantum systems, detailing how quantum-to-classical transitions and decoherence occur. We found a unique regime where entropy production rate is constant, irrespective of diffusion strength.

Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Chaos theory

Background:

  • Open quantum systems exhibit complex dynamics.
  • Understanding the transition from quantum to classical behavior is crucial.
  • Decoherence plays a key role in this transition.

Purpose of the Study:

  • To analyze the behavior of an open quantum system with an N-dimensional state space.
  • To investigate the decoherence process and quantum-to-classical transition.
  • To study the entropy production in such systems.

Main Methods:

  • The system's density matrix evolves via a nonunitary map.
  • This map involves a unitary step (quantized chaotic maps) and a nonunitary diffusion step.
  • Numerical and analytical tools are employed for analysis.

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Main Results:

  • A regime is identified where entropy grows at a rate independent of diffusion.
  • The nature of entropy-producing processes is analyzed.
  • The study considers quantized baker's map and Harper's map.

Conclusions:

  • The nonunitary evolution map effectively models decoherence and quantum-to-classical transitions.
  • Entropy production in open quantum systems can exhibit universal behavior.
  • The findings offer insights into the fundamental nature of quantum measurement and classicality.