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Nonlinearity-induced localization in a periodically driven semidiscrete system.

R Driben1, V V Konotop2, B A Malomed3,4,5

  • 1Department of Physics and CeOPP, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany.

Physical Review. E
|July 18, 2018
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Summary
This summary is machine-generated.

Nonlinearity constructively supports dynamical localization in discrete-continuous systems, preventing wave packet spread. This effect, observed in nonlinear media, is realizable in photonic lattices and Bose-Einstein condensates.

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Area of Science:

  • Condensed matter physics
  • Nonlinear dynamics
  • Quantum mechanics

Background:

  • In linear systems, wave packets typically spread rapidly under periodic modulation.
  • Dynamical localization is a phenomenon where wave packets remain confined.
  • Understanding factors that enhance localization is crucial for controlling quantum systems.

Purpose of the Study:

  • To investigate the role of nonlinearity in dynamical localization.
  • To explore methods for achieving robust wave packet confinement.
  • To identify potential experimental platforms for observing these effects.

Main Methods:

  • Theoretical modeling of wave packet dynamics in a discrete-continuous system.
  • Analysis of systems with time-periodic modulation of gradient strength.
  • Inclusion of cubic nonlinearity to study its impact on localization.

Main Results:

  • Nonlinearity was found to constructively support dynamical localization.
  • In the nonlinear regime, initially confined wave packets remained localized.
  • This effect was robust even with moving wave packets and combined potentials.

Conclusions:

  • Cubic nonlinearity induces robust dynamical localization in discrete-continuous systems.
  • The findings suggest a pathway to control wave packet dynamics.
  • The phenomenon is predicted to be experimentally realizable in photonic lattices and Bose-Einstein condensates.