Cascade splitting of two atomic energy levels due to multiphoton absorption

Analytical solutions for a doubly driven two-level atom

“…Certainly, Rabi frequency Ω 2 is independent of ∆ 2 if the intensity of the second coupling field is fixed. In the present work, we fix the intensity of the second coupling field at 344 mW/cm 2 in the two cases, while the intensity of the second coupling field is about 254.8 mW/cm 2 in the work of Ruan et al [10] As shown in Table 2 and Figs. 7-9, 074203-3 the deduced Rabi frequency Ω 2 from the experimental energy levels is independent of ∆ 2 .…”

“…Note that the second coupling field propagates through the cold 87 Rb atoms in two cases. (i) Similar to the work of Ruan et al, [10] the second coupling field passes the atom sample once. A typical probe absorption spectrum is shown in Fig.…”

“…As for the experimental verification, cold atoms produced by a magneto-optical trap (MOT) [13] offer great opportunities for the studies of precise spectroscopic measurements due to significantly reduced Doppler broadening and low collision rates. In this paper and the work of Ruan et al, [10] we take the 5 2 S 1/2 , F = 2 and 5 2 P 3/2 , F = 3 states of 87 Rb atoms as a two-level atom system. Cold 87 Rb atoms are produced in a standard MOT.…”

“…The probe beam is derived from the Toptica DL100 laser and is independently tuned over a limited range in frequency by acoustooptic modulators (AOM). Following the method adopted by Ruan et al, [10] we have measured the probe spectrum in the presence of two coupling fields and the probe spectrum with only one coupling field, aiming to compare and identify these spectral features resulting from the transition connecting one pair of doubly dressed levels. In this scheme, the detuning ∆ 1 /2π of the first coupling field frequency from the transition 5 2 S 1/2 , F = 2 → 5 2 P 3/2 , F = 3 is fixed at −12 MHz.…”

“…[7,8] The very recent work by He et al [9] is the first demonstration of spontaneously induced spectral cancelation using the transitions of a solid-state quantum emitter. In 2014, Ruan et al [10] measured the spectroscopic properties of singly dressed states in a strong monochromatic field, but no quantitative theoretical calculation was given. This paper is the further work of Ruan et al [10] We concentrate on the cases where analytical solutions for a doubly driven two-level atom can be found and give a quantitative comparison of theoretical and experimental data.…”