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Related Experiment Videos

Quantum diffusion dynamics in nonlinear systems: a modified kicked-rotor model.

Jiangbin Gong1, Jiao Wang

  • 1Department of Physics and Centre of Computational Science and Engineering, National University of Singapore, 117542, Singapore.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
PubMed
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A new quantum method modifies classical chaos paradigms, revealing rich quantum dynamics. This approach destroys dynamical localization and shows unbounded diffusion in quantum systems.

Area of Science:

  • Quantum mechanics
  • Chaos theory
  • Quantum dynamics

Background:

  • Classical and quantum chaos paradigms are fundamental in physics.
  • Dynamical localization is a key phenomenon in quantum chaos.
  • Understanding quantum dynamics in modified systems is crucial.

Purpose of the Study:

  • To propose a simple modification to classical and quantum chaos paradigms.
  • To investigate the resulting quantum dynamics.
  • To explore phenomena like dynamical localization and anomalous diffusion.

Main Methods:

  • Utilizing a method analogous to quantum rephasing techniques.
  • Modifying existing paradigms of classical and quantum chaos.
  • Analyzing the dynamics of the obtained quantum maps.

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Main Results:

  • The modified quantum maps exhibit remarkably rich quantum dynamics.
  • Demonstrated the destruction of dynamical localization without breaking periodicity.
  • Observed unbounded quantum anomalous diffusion in integrable systems.
  • Investigated transient dynamical localization.

Conclusions:

  • The proposed modification offers a new perspective on quantum chaos.
  • The observed rich quantum dynamics have significant theoretical implications.
  • Experimental realizations of this work are feasible and discussed.