Abstract

In this study, optical Bloch equations with and without neighboring hyperfine states near the degenerate two-level system (DTLS) in the challenging case of ^{85}Rb D2 transition, which involves the Doppler broadening effect, are solved. The calculated spectra agree well with the experimental results obtained based on the coupling-probe scheme with orthogonal linear polarizations of the coupling and probe fields. The mechanisms of electromagnetically induced absorption (electromagnetically induced transparency) for the open F_g=3 rightarrow F_e=2 and 3 transitions (open F_g=2 rightarrow F_e=2 and 3 transitions) are determined to be the effect of the strong closed F_g=3 rightarrow F_e=4 transition line (strong closed F_g=2 rightarrow F_e=1 transition line); this finding is based on a comparison between the calculated absorption profiles of the DTLS without neighboring states and those of all levels with neighboring states, depending on the coupling and probe power ratios. Furthermore, based on the aforementioned comparison, the crucial factors that enhance or reduce the coherence effects and lead to the transformation between electromagnetically induced absorption and electromagnetically induced transparency, are (1) the power ratios between the coupling and probe beams, (2) the openness of the excited state, and (3) effects of the neighboring states due to Doppler broadening in a real atomic system.

Highlights

  • In this study, optical Bloch equations with and without neighboring hyperfine states near the degenerate two-level system (DTLS) in the challenging case of 85 Rb D2 transition, which involves the Doppler broadening effect, are solved

  • Lezama[20] established three necessary electromagnetically induced absorption (EIA) conditions for a degenerate two-level system (DTLS) based on initial investigations of EIA r­ esonance[1] using coupling and probe lasers: (1) the ground state must be degenerate; (2) Fe = Fg + 1 ; (3) the Fg → Fe transition must be closed, without considering the contributions to absorption or transmission coherence strength from neighboring states embedded in the Doppler broadening profiles, the power ratios between the coupling and probe beams, the polarization configurations, and the openness of the excited state

  • We compare the experimental results with the theoretical results obtained considering the resonant and all neighboring transitions resulting in EIAs and electromagnetically induced transparency (EIT)

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Summary

Introduction

Optical Bloch equations with and without neighboring hyperfine states near the degenerate two-level system (DTLS) in the challenging case of 85 Rb D2 transition, which involves the Doppler broadening effect, are solved. Based on the aforementioned comparison, the crucial factors that enhance or reduce the coherence effects and lead to the transformation between electromagnetically induced absorption and electromagnetically induced transparency, are (1) the power ratios between the coupling and probe beams, (2) the openness of the excited state, and (3) effects of the neighboring states due to Doppler broadening in a real atomic system. Lezama[20] established three necessary EIA conditions for a degenerate two-level system (DTLS) based on initial investigations of EIA r­ esonance[1] using coupling and probe lasers: (1) the ground state must be degenerate; (2) Fe = Fg + 1 ; (3) the Fg → Fe transition must be closed, without considering the contributions to absorption or transmission coherence strength from neighboring states embedded in the Doppler broadening profiles, the power ratios between the coupling and probe beams, the polarization configurations, and the openness of the excited state.

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