Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing

Sofiane Grira, Nadia Boutabba and Hichem Eleuch
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Sofiane Grira: Department of Applied Sciences and Mathematics, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates
Nadia Boutabba: Institute of Applied Technology, Fatima College of Health Sciences, Abu Dhabi 24162, United Arab Emirates

Mathematics, 2022, vol. 10, issue 12, 1-12

Abstract: We theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion, the real and the imaginary parts of the coherence for a family of chirped and time-dependent laser waveforms. We demonstrate that the remaining atomic population inversion can be controlled by the manipulation of the pulse’s shape structure.

Keywords: atomic population control; two-level atom; exact solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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