Electric-field-induced nonlinear bloch oscillations and dynamical localization

David Cai, A. R. Bishop, Niels Grønbech-Jensen, Mario Salerno

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1186-1189
Number of pages4
JournalPhysical Review Letters
Volume74
Issue number7
DOIs
StatePublished - 1995

Fingerprint

oscillations
electric fields
field strength
harmonics

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 journalArticle

Cai, D, Bishop, AR, Grønbech-Jensen, N & Salerno, M 1995, 'Electric-field-induced nonlinear bloch oscillations and dynamical localization', Physical Review Letters, vol. 74, no. 7, pp. 1186-1189. https://doi.org/10.1103/PhysRevLett.74.1186
Cai, David ; Bishop, A. R. ; Grønbech-Jensen, Niels ; Salerno, Mario. / Electric-field-induced nonlinear bloch oscillations and dynamical localization. In: Physical Review Letters. 1995 ; Vol. 74, No. 7. pp. 1186-1189.
@article{95abb4d7129749b1b7da35b5cfc7afd4,
title = "Electric-field-induced nonlinear bloch oscillations and dynamical localization",
abstract = "The dynamics of a nonlinear Schr{\"o}dinger 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.",
author = "David Cai and Bishop, {A. R.} and Niels Gr{\o}nbech-Jensen and Mario Salerno",
year = "1995",
doi = "10.1103/PhysRevLett.74.1186",
language = "English (US)",
volume = "74",
pages = "1186--1189",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "7",

}

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

VL - 74

SP - 1186

EP - 1189

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 7

ER -