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Related Experiment Videos

Irreversible evolution of quantum chaos.

A Ugulava1, L Chotorlishvili, K Nickoladze

  • 1Department of Physics, Tbilisi State University, Chavchavadze av. 3, 0128 Tbilisi, Georgia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

This study explores quantum chaos using a perturbed quantum pendulum. Periodic perturbations near the separatrix induce irreversible phenomena, leading to self-chaotization and a transition from pure to mixed states, increasing system entropy.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Chaos theory

Background:

  • The quantum pendulum serves as a fundamental model for dynamic stochastic systems.
  • Understanding quantum chaos is crucial for comprehending complex quantum behaviors.

Purpose of the Study:

  • To investigate the quantum analogue of dynamic stochasticity.
  • To reveal the fundamental properties of quantum chaos in a perturbed pendulum system.

Main Methods:

  • Analysis of a periodically perturbed quantum pendulum system.
  • Examination of phenomena near the separatrix.
  • Derivation of recurrent relations for level populations.

Main Results:

  • Periodic perturbations induce irreversible phenomena and self-chaotization.

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  • The system transitions from a pure state to a mixed state.
  • System entropy increases and reaches a constant equilibrium value.

    • Conclusions:

    • The quantum pendulum exhibits properties analogous to classical dynamic stochasticity.
    • Periodic perturbations can drive quantum systems towards chaos and irreversibility.
    • The study provides insights into the fundamental nature of quantum chaos and entropy evolution.