Related papers: Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration

Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration

URL: http://arxiv.org/abs/2207.04756v1
Date: Mon, 11 Jul 2022 10:35:55 GMT
Title: Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration
Authors: Xianchao Le, Zhao-Yun Zeng, Baiyuan Yang, Yunrong Luo, Jinpeng Xiao, Lei Li, Lisheng Wang, Yajiang Chen, Ai-Xi Chen, and Xiaobing Luo
Abstract summary: We present a rigorous analysis of symmetry and underlying physics of the nonlinear two-mode system driven by a harmonic mixing field. 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.
Score: 6.7407868933337145
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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