Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling
Analysis of PDEs
2013-06-27 v2 Mathematical Physics
math.MP
Abstract
A system of two coupled nonlinear Schroedinger equations is treated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is considered. Asymptotics for large Rabi frequency are carried out. Convergence in the appropriate Strichartz space is proven. As a consequence, the global existence of the limiting system gives a criterion for the long time behavior of the original system.
Cite
@article{arxiv.1303.6427,
title = {Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling},
author = {Paolo Antonelli and Rada Maria Weishaeupl},
journal= {arXiv preprint arXiv:1303.6427},
year = {2013}
}
Comments
23 pages. Minor changes in the second version: Introduction modified, structure of the paper revised, some references added