Electric-field-induced nonlinear bloch oscillations and dynamical localization

Journal Article · Mon Feb 13 04:00:00 EST 1995 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.74.1186· OSTI ID:6449119

Cai, D; Bishop, A R; Gronbech-Jensen, N ^[1]; Salerno, M ^[2]

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1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Department of Theoretical Physics, University of Salerno, I-84100 Baronissi (Saudi Arabia) (Italy)

The dynamics of a nonlinear Schroedinger 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.

• OSTI ID: 6449119
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 74:7; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

665430* -- Other Topics in Quantum Fluids & Solids-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BLOCH THEORY
DIFFERENTIAL EQUATIONS
DYNAMICS
ELECTRIC FIELDS
EQUATIONS
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
WAVE EQUATIONS