TY - JOUR
T1 - Electric-field-induced nonlinear bloch oscillations and dynamical localization
AU - Cai, David
AU - Bishop, A. R.
AU - Grønbech-Jensen, Niels
AU - Salerno, Mario
PY - 1995
Y1 - 1995
N2 - The dynamics of a nonlinear Schrödinger 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.
AB - The dynamics of a nonlinear Schrödinger 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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U2 - 10.1103/PhysRevLett.74.1186
DO - 10.1103/PhysRevLett.74.1186
M3 - Article
AN - SCOPUS:11944250437
SN - 0031-9007
VL - 74
SP - 1186
EP - 1189
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
ER -