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Rapid decoherence in integrable systems: a border effect.

R M Angelo1, K Furuya, M C Nemes

  • 1Instituto de Física "Gleb Wataghin," Universidade Estadual de Campinas, 13083-970 Campinas, SP, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Rapid decoherence in quantum systems is not always due to chaos. Integrable systems with energy limitations can also show fast decoherence and entropy production, mimicking chaotic behavior.

Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Quantum chaos

Background:

  • Decoherence is a key process in quantum mechanics, often linked to chaotic dynamics.
  • Distinguishing decoherence in chaotic versus integrable systems is crucial for understanding quantum dynamics.
  • Border effects in quantum systems can significantly influence decoherence rates.

Purpose of the Study:

  • To investigate whether rapid decoherence is exclusively a signature of nonintegrable (chaotic) systems.
  • To explore the role of energy limitations in driving decoherence within integrable systems.
  • To analyze decoherence and related phenomena in the N-atom Jaynes-Cummings model.

Main Methods:

  • Analysis of decoherence rates in integrable systems with energy-limited subsystems.

Related Experiment Videos

  • Study of the N-atom Jaynes-Cummings model.
  • Investigation of entropy production rates for specific initial coherent wave packets.
  • Examination of (de)localization phenomena as a function of phase-space proximity.

    • Main Results:

    • Rapid decoherence can arise in integrable systems due to border effects, not solely from chaotic dynamics.
    • The N-atom Jaynes-Cummings model demonstrates that energy limitations can lead to drastic decoherence rates.
    • Special initial coherent wave packets in this model exhibit entropy production rates comparable to chaotic systems.
    • A (de)localization phenomenon is observed, dependent on proximity to the phase-space border.

    Conclusions:

    • Rapid decoherence is not an exclusive indicator of nonintegrability; integrable systems can exhibit similar behavior.
    • Energy limitations in quantum subsystems are critical factors influencing decoherence rates.
    • The findings challenge conventional associations between rapid decoherence and chaos, highlighting the importance of system-specific boundary conditions.