Freezing of Nonlinear Bloch Oscillations in the Generalized Discrete Nonlinear Schrodinger Equation
Pattern Formation and Solitons
2007-05-23 v2 Mesoscale and Nanoscale Physics
Soft Condensed Matter
Abstract
The dynamics in a nonlinear Schrodinger chain in an homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster frequencies in their dynamics. These phenomena are studied by direct numerical integration and through an adiabatic approximation. The adiabatic approximation allows a description in terms of an effective potential that greatly clarifies the phenomenon.
Keywords
Cite
@article{arxiv.nlin/0403004,
title = {Freezing of Nonlinear Bloch Oscillations in the Generalized Discrete Nonlinear Schrodinger Equation},
author = {F. J. Cao},
journal= {arXiv preprint arXiv:nlin/0403004},
year = {2007}
}
Comments
LaTeX, 7 pages, 6 figures. Improved version to appear in Phys. Rev. E