Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration
Abstract
In this paper, we present a rigorous analysis of symmetry and underlying physics of the nonlinear two-mode system driven by a harmonic mixing field, by means of multiple scale asymptotic analysis method. The effective description in the framework of the second-order perturbative theory provides an accurate picture for understanding the Floquet eigenspectrum and dynamical features of the nonlinear two-mode system, showing full agreement with the prediction of symmetry considerations. We find that two types of symmetries play significant role in the dynamical features of this model, the mechanism behind which can be interpreted in terms of the effective description. The results are of relevance for the phase control of the atomic localization in Bose-Einstein condensates or switch of the optical signals in nonlinear mediums.
Keywords
Cite
@article{arxiv.2207.04756,
title = {Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration},
author = {Xianchao Le and Zhao-Yun Zeng and Baiyuan Yang and Yunrong Luo and Jinpeng Xiao and Lei Li and Lisheng Wang and Yajiang Chen and Ai-Xi Chen and Xiaobing Luo},
journal= {arXiv preprint arXiv:2207.04756},
year = {2022}
}
Comments
10 pages, 6 figures