Exact solution for a periodically driven magnetic multilayer system
摘要
Periodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental activity. Whereas original Floquet theory was proposed to a system of ordinary differential equations, the quantum systems with time-dependent potential require using partial differential equations. Among different methods of analysis of such systems, time series is a most common one. Though general scheme was developed in a number of works, its application to specific problems often faces significant difficulties. In particular, the class of the problems describing magnetic multilayers with time-dependent potential (e.g., rotating magnetization of some of the layers) leads to significant complication of the problem due to two-component wave function and matching conditions at the interfaces. Taking as an example a two-layer system containing magnetic layer with rotating magnetization, we construct a class of solution containing arbitrary but finite number of the terms. The structure of the solution is analyzed. In particular, we show that boundary conditions, which seem a natural generalization of that for a stationary problem, cannot be imposed in the case of rotating magnetizations.
引用
@article{arxiv.2605.27638,
title = {Exact solution for a periodically driven magnetic multilayer system},
author = {P. I. Naumkin and A. V. Nikolaev and L. L. Tao and M. Ye. Zhuravlev},
journal= {arXiv preprint arXiv:2605.27638},
year = {2026}
}