Authors:P. I. Naumkin (1), A.V. Nikolaev (2), L.L. Tao (3), M. Ye. Zhuravlev (4) ((1) Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), CP 58089 Morelia, Michoacán, México, (2) Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 101000, Russia, (3) School of Physics, Harbin Institute of Technology, Harbin 150001, China, (4) St. Petersburg State University, St. Petersburg 199034, Russia)

View PDF

Abstract: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.

Submission history

From: Mikhail Zhuravlev Ye. [view email]
[v1] Tue, 26 May 2026 19:57:24 UTC (391 KB)