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Quantum correlations for a simple kicked system with mixed phase space.

Or Alus1, Shmuel Fishman1, Mark Srednicki2

  • 1Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel 3200003.

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Summary
This summary is machine-generated.

Classical and quantum dynamics in a standard map system exhibit power-law decay due to sticking. Quantum mechanics shows similar behavior but with a reduced exponent, explained by a modified Markov tree model.

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Area of Science:

  • Quantum dynamics
  • Classical mechanics
  • Statistical physics

Background:

  • Investigating the standard map, a model system with mixed phase space.
  • Observing the phenomenon of 'sticking' in the chaotic region near the regular region.

Purpose of the Study:

  • To analyze classical and quantum dynamics of the standard map.
  • To explain the observed power-law decay in correlation functions.

Main Methods:

  • Analysis of classical correlation functions.
  • Quantum mechanical simulations.
  • Modification of the Meiss-Ott Markov tree model.

Main Results:

  • Classical dynamics show power-law decay due to sticking.
  • Quantum dynamics exhibit similar power-law decay with a smaller exponent.
  • A modified Markov tree model explains the quantum behavior.

Conclusions:

  • Quantum limitations affect the flux through the 'turnstile' between chaotic and regular regions.
  • The modified Meiss-Ott model provides insight into quantum sticking phenomena.
  • Further research is required for a complete understanding of quantum behavior in such systems.