Electric-Field-Induced Nonlinear Bloch Oscillations and Dynamical Localization
David CaiTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545A. R. BishopTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545Niels Grønbech‐JensenTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545Mario SalernoTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
1995en
ABI
Abstract
The dynamics of a nonlinear Schr\"odinger chain in a time-varying, spatially uniform electric field is studied and proven to be integrable. In the limit of a static electric field, the system exhibits a periodic evolution which is a nonlinear counterpart of Bloch oscillations. It is shown that localization can be dynamically induced by a temporally harmonic field as a consequence of parametric resonances at certain field strengths. The effects of integrability-breaking discrete lattice terms are studied numerically: Nonlinear Bloch oscillations and dynamical localization are found to be a property of the lattice and not limited to the integrable case.
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