Magnus expansion method for two-level atom interacting with few-cycle pulse
Quantum Physics
2018-09-11 v1 Optics
Abstract
Using the Magnus expansion to the fourth order, we obtain analytic expressions for the atomic state of a two-level system driven by a laser pulse of arbitrary shape with small pulse area. We also determine the limitation of our obtained formulas due to limited range of convergence of the Magnus series. We compare our method to the recently developed method of Rostovtsev et al. (PRA 2009, 79, 063833) for several detunings. Our analysis shows that our technique based on the Magnus expansion can be used as a complementary method to the one in PRA 2009.
Cite
@article{arxiv.1809.02642,
title = {Magnus expansion method for two-level atom interacting with few-cycle pulse},
author = {Tuguldur Begzjav and Jonathan S. Ben-Benjamin and Hichem Eleuch and Reed Nessler and Yuri Rostovtsev and Gavriil Shchedrin},
journal= {arXiv preprint arXiv:1809.02642},
year = {2018}
}
Comments
12 pages, 4 figures