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Optics and Spectroscopy

A study of dark resonance splitting for the D 1 line of 87Rb in strong magnetic fields

Armen D. Sargsyan, R. Mirzoyan, David G. Sarkisyan

Published Nov 1, 2012• 7 citations
Publisher

Abstract

The process of electromagnetically induced transparency (EIT) is studied using an extremely thin cell with thickness of a vapor column of rubidium atoms L = 794 nm. Wavelengths of resonant laser beams λ ≈ 794 nm. Results of the study of behavior of the EIT resonance (which is also called the “dark” resonance) formed in the Л system of the D 1 line of 87Rb atoms in strong magnetic fields up to 1700 G (0.17 T) are reported for the first time. Three dark resonances are recorded in magnetic fields with induction B < 300 G, two resonances are recorded at B > 650 G, and only one dark resonance is retained at B > 1200 G. A method of the formation of a dark resonance at a given frequency is demonstrated that will allow, under the corresponding conditions, the formation of a dark resonance also at B > 0.2 T. The experimental results are well described by the known theoretical models. Practical applications of these results are indicated.

DOI
10.1134/s0030400x12110057

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Electromagnetically induced transparency: the thickness of the vapor column is of the order of a light wavelength

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Electromagnetically induced transparency (EIT) effect has been studied using an extremely thin cell (ETC) with the thickness of an Rb vapor column of the order of light wavelength λ(780 nm) and varying in the range of 0.5λ-2.5λ. Λ-systems on the D2 line of 85Rb and 87Rb have been studied experimentally. Along with EIT resonance, we study the peculiarities of velocity-selective optical pumping/saturation (VSOP) resonances, which accompany the EIT resonance and, as a rule, are spectrally broader. It is demonstrated that size-conditioned strongly anisotropic contribution of atoms with different velocities in an ETC causes several dramatic differences of the EIT and VSOP resonances formation in the ETC as compared with an ordinary 1-10 cm long cell. Particularly, in the case of the ETC, the EIT linewidth and contrast dramatically depend on the coupling laser detuning from the exact atomic transition. A theoretical model taking into account the peculiarities of transmission spectra when L=nλ and L=(2n+1)λ/2 (n is an integer) has been developed. The experimental transmission spectra are well described by the theoretical model developed. The possibility of EIT resonance formation when atomic column thickness is of the order of L=0.5λ and less is theoretically predicted.

Journal of the Optical Society of America B•Jul 19, 2007•23 citations
The process of electromagnetically induced transparency (EIT) is studied using an extremely thin cell with thickness of a vapor column of rubidium atoms L = 794 nm. Wavelengths of resonant laser beams λ ≈ 794 nm. Results of the study of behavior of the EIT resonance (which is also called the “dark” resonance) formed in the Л system of the D 1 line of 87Rb atoms in strong magnetic fields up to 1700 G (0.17 T) are reported for the first time. Three dark resonances are recorded in magnetic fields with induction B < 300 G, two resonances are recorded at B > 650 G, and only one dark resonance is retained at B > 1200 G. A method of the formation of a dark resonance at a given frequency is demonstrated that will allow, under the corresponding conditions, the formation of a dark resonance also at B > 0.2 T. The experimental results are well described by the known theoretical models. Practical applications of these results are indicated.
The prospects of using Fg = 1-Fe = 3 magnetically induced (MI) transitions of the 87Rb D2 line to form optical resonances in strong magnetic fields up to 3 kG have been experimentally demonstrated. A micrometer-thick cell filled with the Rb atomic vapor is used. A simple and convenient method for determining the magnetic induction with a micron spatial resolution is presented. In this case, there is no need for a reference frequency spectrum. The probability of the MI transition in the magnetic field range of 0.3–2 kG may exceed the probability of a “normal” atomic transition; therefore, it is reasonable to use MI transition at the frequency of “coupling” or probe lasers in Lambda- and V systems to form EIT- resonance (also called dark resonance) in the process of electromagnetically induced transparency (EIT). The formation of dark resonances in strong magnetic fields, when there is a frequency shift of the dark resonance up to ~ 10 GHz, has a number of practical applications. Note that when using “ordinary” atomic transitions in the Lambda- system for magnetic fields of > 1 kG, dark resonances are practically absent.
Abstract We experimentally demonstrated that magnetically induced (MI) Fg = 1 → Fe = 3 transitions of the D2-line of 87Rb are promising for the generation of optical resonances in strong magnetic fields of up to 3 kG. A cell of micron-scale thickness filled with Rb vapors was used. A simple and convenient method of determining magnetic induction that exhibits micron-scale spatial resolution is described. In the process, it becomes unnecessary using a reference spectrum. The probability of an MI transition in the interval of magnetic fields from 0.3 to 2 kG can exceed the probability of an ordinary atomic transition, which makes using it as a coupling or probe transition in Λ- or V-systems advantageous for formation of dark resonances in processes of electromagnetically induced transparency (EIT). Dark resonances shifted in strong magnetic fields by as much as 10 GHz may find a number of practical applications. Note that dark resonances are nearly absent in Λ-systems based on ordinary atomic transitions in magnetic fields exceeding 1 kG.
The phenomenon of electromagnetically induced transparency (EIT) is investigated in a Λ-system of the 87Rb D 1 line in an external transverse magnetic field. Two spectroscopic cells having strongly different values of the relaxation rates γrel are used: an Rb cell with antirelaxation coating (L ~ 1 cm) and an Rb nanometric- thin cell (nanocell) with a thickness of the atomic vapor column L = 795 nm. For the EIT in the nanocell, we have the usual EIT resonances characterized by a reduction in the absorption (dark resonance (DR)), whereas for the EIT in the Rb cell with an antirelaxation coating, the resonances demonstrate an increase in the absorption (bright resonances (BR)). We suppose that such an unusual behavior of the EIT resonances (i.e., the reversal of the sign from DR to BR) is caused by the influence of an alignment process. The influence of alignment strongly depends on the configuration of the coupling and probe frequencies as well as on the configuration of the magnetic field.
Abstract Magnetically induced Fg = 2 → Fe = 4 transitions corresponding to the 85Rb D2 line in the case of the σ+ circularly polarized radiation have been used for the first time to form optical dark resonances in strong magnetic fields up to 1 kG under electromagnetically induced transparency conditions. A 1.5-μm-thick cell filled with Rb atomic vapor has been used. The probabilities of two of five magnetically induced transitions, which are efficiently formed only with the σ+-polarized radiation, in the magnetic field range of 0.2–1 kG exceed the probabilities of “ordinary” atomic transitions. For this reason, it is appropriate to use them in Λ systems for the formation of the dark resonance. The following rule has been established: for the formation of the dark resonance in a Λ system with the use of the σ+-polarized probe radiation at the frequencies of magnetically induced transitions, the radiation of the coupling laser should also be σ+ polarized; the dark resonance is not formed if the radiation of the coupling laser is σ– polarized, which is confirmed by the calculated theoretical curve. A significant advantage of magnetically induced resonances for electromagnetically induced transparency compared to ordinary atomic transitions corresponding to the 85Rb D2 line has been demonstrated. The formation of dark resonances in strong magnetic fields, when their frequency is shifted by several gigahertzs, can be applied in practice.
Electromagnetically induced transparency (EIT) effect in a -system formed by Cs atoms line, enclosed in nanometric-thin cells, is studied both experimentally and theoretically for the first time. The atomic column thickness varies in the range of 50–1500 nm. It is demonstrated that when the coupling laser frequency is in exact resonance with the corresponding atomic transition, the parameters of the EIT resonance (also called dark resonance (DR)) depend weakly on , which allows us to detect DR at nm with the contrast of . The obtained DR parameters are the best as compared with those for Rb and lines and Cs line. The DR contrast and width are studied versus laser frequency detunings, coupling laser power, cell thickness, temperature, and applied external magnetic field. The well-resolved splitting of the DR resonance in a magnetic field for nm can be used for magnetometry with high spatial resolution. The theoretical model describes well the observed results.
Electromagnetically induced transparency (EIT) effect has been studied using an extremely thin cell (ETC) with the thickness of an Rb vapor column of the order of light wavelength λ(780 nm) and varying in the range of 0.5λ-2.5λ. Λ-systems on the D2 line of 85Rb and 87Rb have been studied experimentally. Along with EIT resonance, we study the peculiarities of velocity-selective optical pumping/saturation (VSOP) resonances, which accompany the EIT resonance and, as a rule, are spectrally broader. It is demonstrated that size-conditioned strongly anisotropic contribution of atoms with different velocities in an ETC causes several dramatic differences of the EIT and VSOP resonances formation in the ETC as compared with an ordinary 1-10 cm long cell. Particularly, in the case of the ETC, the EIT linewidth and contrast dramatically depend on the coupling laser detuning from the exact atomic transition. A theoretical model taking into account the peculiarities of transmission spectra when L=nλ and L=(2n+1)λ/2 (n is an integer) has been developed. The experimental transmission spectra are well described by the theoretical model developed. The possibility of EIT resonance formation when atomic column thickness is of the order of L=0.5λ and less is theoretically predicted.