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arXiv:1809.02642 · Journal of Modern Optics

Magnus expansion method for two-level atom interacting with few-cycle pulse

Tuguldur Begzjav, J. Ben-Benjamin, Hichem Eleuch, Reed Nessler, Yuri V. Rostovtsev, Gavriil Shchedrin

Published Jul 14, 2017• 3 citations
arXivHTMLPDF

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.

DOI
10.1080/09500340.2017.1349199

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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.
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