Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1186-1189 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 74 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Electric-field-induced nonlinear bloch oscillations and dynamical localization. / Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels; Salerno, Mario.
In: Physical Review Letters, Vol. 74, No. 7, 1995, p. 1186-1189.Research output: Contribution to journal › Article
}
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.
UR - http://www.scopus.com/inward/record.url?scp=11944250437&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=11944250437&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.74.1186
DO - 10.1103/PhysRevLett.74.1186
M3 - Article
AN - SCOPUS:11944250437
VL - 74
SP - 1186
EP - 1189
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 7
ER -