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Electromagnetically induced transparency and Autler–Townes effect in a generalized Λ-system: A five-level model

Żaba A., Cao Long V., Głódź M., Paul-Kwiek E., Kowalski K., Szonert J.,  Woźniak D. and Gateva S. 

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Abstract. We calculate electric susceptibility of a laser-dressed atomic medium. The model adopted in this work refers to the experiment with cold 85Rb atoms, where the states F′ = 1, 2, 3 of the hyperfine manifold 5P3/2 (F′) are strongly coupled with the ground state 5S1/2 (F = 2), and the coupling is probed by a weak probing field from the other ground-state component 5S1/2 (F = 3). We present a five-level model in which the states F = 2, 3 and F′ = 1, 2, 3 are taken into account, while the non-coupled state F′ = 4 is neglected. The model is used as a starting point to reproduce spectral features observed in the absorption of probe light passing through a cold sample of 85Rb atoms in a magneto-optical trap. Basing on numerical solutions of this model, we have also studied in detail the impact on the probe spectra from the presence of the state F′ = 1 to which probing is forbidden by electric-dipole transition, but coupling is allowed [see, e.g., Proc. of SPIE 8770 (2013) 87700Q].

Keywords: electromagnetically induced transparency, Autler–Townes effect, 
-system, cold 85Rb atoms in magneto-optical trap, five-level model, master equation for the density operator
 

PACS: 42.50.Gy, 42.50.Hz, 31.15.xg
UDC: 535.332, 535.34
Ukr. J. Phys. Opt. 14 135-145
doi: 10.3116/16091833/14/3/135/2013
Received: 09.04.2013

Анотація. У цій роботі розраховано діелектричну сприйнятність лазерно сформованого атомарного середовища. Застосована модель відповідає експериментові з холодними атомами 85Rb, де стани F' = 1, 2, 3 надтонкої множини 5P3/2 (F') сильно зв’язані з основним станом 5S1/2 (F = 2), а зв'язок тестується компонентою слабкого зондувального поля іншого основного стану 5S1/2 (F = 3). Нами представлено п’ятирівневу модель, яка враховує стани F = 2, 3 і F' =1, 2, 3 і нехтує незв’язаним станом F' = 4. Цю модель використано як базову для відтворення спектральних характеристик, що виявляються в поглинанні зондувального світлового випромінювання, яке поширюється крізь холодні атоми 85Rb у магнітооптичній пастці. На основі чисельного розв’язку в рамках цієї моделі ми також докладно вивчили вплив на спектр зондування присутності стану F' = 1, для якого допускається зв'язок, однак електродипольні переходи заборонено [див., наприклад, Proc. SPIE 8770 (2013) 87700Q].
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