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Nonlinearity effects in the kicked oscillator.

Roberto Artuso1, Laura Rebuzzini

  • 1Centre for Nonlinear and Complex Systems and Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Università dell'Insubria, Via Valleggio 11, 22100 Como, Italy. roberto.artuso@unisubria.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
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We studied how nonlinearity affects quantum kicked oscillators. Results show that the system's behavior, like quantum motion, strongly depends on specific parameters.

Area of Science:

  • Quantum dynamics
  • Nonlinear quantum systems

Background:

  • The quantum kicked oscillator exhibits diverse behaviors, including ballistic spreading and dynamical localization.
  • Understanding quantum dynamics is crucial for developing quantum technologies.

Purpose of the Study:

  • To investigate the impact of Gross-Pitaevskii nonlinearity on quantum motion.
  • To determine how system parameters influence the qualitative features of quantum dynamics.

Main Methods:

  • Numerical simulations of the quantum kicked oscillator model.
  • Analysis of quantum motion under Gross-Pitaevskii nonlinearity.

Main Results:

  • The presence of nonlinearity introduces significant changes to the system's dynamics.

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  • Qualitative features of quantum motion are highly sensitive to the chosen system parameters.

    • Conclusions:

    • Gross-Pitaevskii nonlinearity fundamentally alters quantum kicked oscillator dynamics.
    • Parameter selection is critical for controlling and predicting the behavior of such nonlinear quantum systems.