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arXiv:1509.06978 · Physical Review A

Four-level N -scheme crossover resonances in Rb saturation spectroscopy in magnetic fields

Stefano Scotto, D. Ciampini, Carlo Rizzo, E. Arimondo

Published Dec 7, 2015• 34 citations
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Abstract

We perform saturated absorption spectroscopy on the ${D}_{2}$ line for room temperature rubidium atoms immersed in magnetic fields within the 0.05--0.13 T range. At those medium-high field values the hyperfine structure in the excited state is broken by the Zeeman effect, while in the ground-state hyperfine structure and Zeeman shifts are comparable. The observed spectra are composed by a large number of absorption lines. We identify them as saturated absorptions on two-level systems, on three-level systems in a $\mathsf{V}$ configuration, and on four-level systems in an $\mathsf{N}$ or double-$\mathsf{N}$ configuration where two optical transitions not sharing a common level are coupled by spontaneous emission decays. We analyze the intensity of all those transitions within a unified simple theoretical model. We concentrate our attention on the double-$\mathsf{N}$ crossovers signals whose intensity is very large because of the symmetry in the branching ratios of the four levels. We point out that these structures, present in all alkali-metal atoms at medium-high magnetic fields, have interesting properties for electromagnetically induced transparency and slow light applications.

DOI
10.1103/physreva.92.063810

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We perform saturated absorption spectroscopy on the D2_22​ line for room temperature rubidium atoms immersed in magnetic fields within the 0.05-0.13 T range. At those medium-high field values the hyperfine structure in the excited state is broken by the Zeeman effect, while in the ground state hyperfine structure and Zeeman shifts are comparable. The observed spectra are composed by a large number of absorption lines. We identify them as saturated absorptions on two-level systems, on three-level systems in a V configuration and on four-level systems in a N or double-N configuration where two optical transitions not sharing a common level are coupled by spontaneous emission decays. We analyze the intensity of all those transitions within a unified simple theoretical model. We concentrate our attention on the double-N crossovers signals whose intensity is very large because of the symmetry in the branching ratios of the four levels. We point out that these structures, present in all alkali atoms at medium-high magnetic fields, have interesting properties for electromagnetically induced transparency and slow light applications.
We experimentally study the absorption spectroscopy from a collection of gaseous 87Rb^87 Rb87Rb atoms at room temperature irradiated with three fields. Two of these fields are in a pump probe saturation absorption configuration. The third field co-propagates with the pump field. The three fields address Zeeman degenerate transitions between hyperfine levels 5S1/2,F=15S_{1/2}, F = 15S1/2​,F=1 and 5P3/2,F=05P_{3/2}, F = 05P3/2​,F=0 and also between 5S1/2,F=15S_{1/2}, F = 15S1/2​,F=1 and 5P3/2,F=15P_{3/2}, F =15P3/2​,F=1 around the D2 line. We find a sub-natural absorption resonance in the counter-propagating probe field. The novel feature of this absorption is its abrupt onset in the vicinity of 5P3/2,F=05P_{3/2}, F = 05P3/2​,F=0, as the laser frequency is scanned from 5P3/2,F=05P_{3/2}, F = 05P3/2​,F=0 to 5P3/2,F=15P_{3/2}, F =15P3/2​,F=1. The experimental results are compared with the theory modeled after a four level system. There is a qualitative agreement between our theory and experiment. We find the threshold absorption to be a result of the off-resonant interaction of the strong field with nearby hyperfine levels.
We experimentally study the absorption spectroscopy from a collection of gaseous 87Rb atoms at room temperature irradiated with three fields. Two of these fields are in a pump–probe saturation absorption configuration. The third field co-propagates with the pump field. The three fields address Zeeman degenerate transitions between hyperfine levels 5S1/2, F = 1 and 5P3/2, F = 0, F = 1 around the D2 line. We find a sub-natural absorption resonance in the counter-propagating probe field for equal detunings of all three fields. This absorption arises in conjunction with the appearance of increased transmission due to electro-magnetically induced transparency in the co-propagating fields. The novel feature of this absorption is its onset only for the blue of 5P3/2, F = 0, as the laser frequency is scanned through the excited states 5P3/2, F = 0, F = 1 and F = 2. The absorption rapidly rises to near maximum values within a narrow band of frequency near 5P3/2, F = 0. Our experimental results are compared with a dressed atom model. We find the threshold absorption to be a result of coherent interaction between the dressed states of our system.
The saturated absorption spectra of the 87Rb D2 line were observed in an almost-zero magnetic field, in the geomagnetic field, and in a magnetic field of 10 G. The relative magnitudes of the resonance signals were calculated and tabulated by application of Nakayama’s four-level model to the 87Rb D2 line. The observed spectra were in good agreement with the theoretical plots. However, it was found that in the case of the 10-G magnetic field it is necessary to calculate an exact splitting of Zeeman sublevels in order to fit the theoretical calculation to the observed spectra and that saturation spectroscopy can be used as a method for observing the Zeeman splitting.
Using an external cavity-tuned diode laser in Doppler-free saturation spectroscopy, we are able to resolve the weak-field Zeeman splittings in the hyperfine levels of the rubidium D1 line. The number of lines observed in the Zeeman structure of rubidium and their measured energy-level splittings are as expected from theory. The measured amplitudes of the saturated-absorption signals, crossover resonances, and velocity-selective optical pumping signals are used in the analysis of various theories concerning saturated-absorption spectroscopy.
We use a magnetometer probe based on the Zeeman shift of the rubidium resonant optical transition to explore the atomic magnetic response for a wide range of field values. We record optical spectra for fields from a few tesla up to 60 T, the limit of the coil producing the magnetic field. The atomic absorption is detected by the fluorescence emissions from a very small region with a submillimeter size. We investigate a wide range of magnetic interactions from the hyperfine Paschen-Back regime to the fine one and the transitions between them. The magnetic field measurement is based on the rubidium absorption itself. The rubidium spectroscopic constants were previously measured with high precision, except the excited state Land\'e ggg-factor that we derive from the position of the absorption lines in the transition to the fine Paschen-Back regime. Our spectroscopic investigation, even if limited by the Doppler broadening of the absorption lines, measures the field with a 20 ppm uncertainty at the explored high magnetic fields. Its accuracy is limited to 75 ppm by the excited state Land\'e ggg-factor determination.