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Bloch oscillations sustained by nonlinearity.

R Driben1, V V Konotop2, T Meier3

  • 1Department of Physics and CeOPP, University of Paderborn, Warburger Str. 100, D-33098, Paderborn, Germany. driben@mail.uni-paderborn.de.

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This summary is machine-generated.

Nonlinearity can constructively support Bloch oscillations in a discrete-continuous model. Optimal design yields long-lived, robust oscillations, observed in physics experiments like optics and Bose-Einstein condensates.

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Area of Science:

  • Condensed matter physics
  • Nonlinear dynamics
  • Wave phenomena

Background:

  • Bloch oscillations are fundamental quantum phenomena observed in periodic potentials.
  • Nonlinearity typically disrupts or damps coherent wave dynamics.
  • Exploring constructive roles of nonlinearity in quantum systems is an active research area.

Purpose of the Study:

  • To investigate the role of nonlinearity in supporting Bloch oscillations.
  • To determine conditions for achieving long-lived and robust Bloch oscillations.
  • To develop an analytical model for nonlinear Bloch oscillations.

Main Methods:

  • Numerical simulations of a discrete-continuous model.
  • Analysis of wave packet evolution under linear and nonlinear potentials.
  • Derivation of an approximate analytical description.

Main Results:

  • Nonlinearity can constructively support Bloch oscillations.
  • An optimal balance between nonlinearity and linear gradient strength leads to highly persistent oscillations.
  • Robust oscillations are observed across a wide parameter range, including moderate nonlinearities.
  • A hybrid Bloch oscillating wave-soliton behavior was identified and analytically described.

Conclusions:

  • Nonlinearity can be harnessed to enhance the stability and longevity of Bloch oscillations.
  • The findings are relevant for experimental realizations in optics and Bose-Einstein condensates.
  • The developed analytical model accurately predicts numerical simulation results.