Analytical results for periodically-driven two-level models in relation to Heun functions

Pramana: Journal of physics

QIONGTAO XIE^1¹ 

[1] College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China^1

关键词: Two-level models;    Heun equation;    periodic potential;    exact in-gap solutions;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We introduce three different types of periodically-driven multiparametric two-level models whoseanalytical solutions are given in terms of Heun functions. These results are applied to obtain exact analytical results for certain types of periodic potentials and asymmetric double-well potentials. In particular, it is shown that underspecial parameter conditions, an experimentally realised periodic potential supports the exact in-gap solutions. In the asymmetric double-well potentials, some exact results of the bound-state wave functions and associated energiesare found in explicit form.

【 授权许可】

CC BY