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Journal of Experimental and Theoretical Physics

Electromagnetically Induced Transparency in Gas Cells with Antirelaxation Coating

Ya. A. Fofanov, Igor M. Sokolov

Published Sep 1, 2022• 3 citations
Publisher

Abstract

Abstract The features of electromagnetically induced transparency (EIT) in gas cells with antirelaxation coating of the walls are considered. It is shown that the simultaneous effect of the motion of atoms, the finite size of a cell, and the nondegeneracy of the ground state of atoms leads to a number of qualitative phenomena. In particular, even for the simplest three-level lambda scheme with a nondegenerate ground state, a significant difference in the spectra of EIT is revealed and investigated in detail depending on the relation between the frequencies of the probe and control fields, i.e., depending on whether the probe radiation is scattered in the Stokes or anti-Stokes channel. A significant spatial inhomogeneity of the excited low-frequency coherence is observed, which persists for large cells even far from their boundaries. In this case, the EIT resonances formed by atoms in different regions of a cell turn out to be differently shifted in frequency, which causes an additional inhomogeneous broadening of the observed profile. The observed effects are studied as a function of the nature of the accommodation of atoms on the surface of the antirelaxation coating.

DOI
10.1134/s106377612209014x

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Physical Review A•Oct 2, 2015•31 citations
Abstract The features of electromagnetically induced transparency (EIT) in gas cells with antirelaxation coating of the walls are considered. It is shown that the simultaneous effect of the motion of atoms, the finite size of a cell, and the nondegeneracy of the ground state of atoms leads to a number of qualitative phenomena. In particular, even for the simplest three-level lambda scheme with a nondegenerate ground state, a significant difference in the spectra of EIT is revealed and investigated in detail depending on the relation between the frequencies of the probe and control fields, i.e., depending on whether the probe radiation is scattered in the Stokes or anti-Stokes channel. A significant spatial inhomogeneity of the excited low-frequency coherence is observed, which persists for large cells even far from their boundaries. In this case, the EIT resonances formed by atoms in different regions of a cell turn out to be differently shifted in frequency, which causes an additional inhomogeneous broadening of the observed profile. The observed effects are studied as a function of the nature of the accommodation of atoms on the surface of the antirelaxation coating.
Abstract The dependence of the nature of electromagnetically induced transparency (EIT) in gas cells without a buffer gas on the quality of the antirelaxation coating of the walls, i.e., on the probability of relaxation of the internal state of an atom upon collision with this coating, is analyzed. It is found that, in a number of practically important cases, relaxation on the walls has little effect on the contrast of the EIT resonance, and, under certain conditions, even enhances this effect. For a nondegenerate ground state of atoms, the significant difference is analyzed between two schemes for the implementation of EIT in the cases of Stokes and anti-Stokes scattering of probe radiation, as well as between two types of reflection, specular (elastic) and diffuse, when the atom velocity after reflection does not depend on the velocity before the collision but is determined by the wall temperature. Particular attention is paid to the features of the EIT spectra when the nondegeneracy of the excited state of atoms is taken into account.
Based on the semiclassical theory of the interaction of two-frequency laser radiation with a resonant atomic medium, an analytical expression is obtained that describes the form of resonances of electromagnetically induced transparency detected in a cell with a finite direction in the longitudinal laser beam direction with an anti-relaxation coating of walls, taking into account the motion of atoms and collisions with walls. The following types of reflection from walls are considered: diffuse, specular, and specular-incoherent. It is found that in a number of cases the diffuse type of reflection exhibits the properties of a mirror-incoherent one. It is also shown that the nondegeneracy of the excited state in a number of cases significantly changes the shape of the transparency resonance. Keywords: Electromagnetically induced transparency, Gas cell, anti-relaxation coating, diffuse reflection, specular reflection, specular-incoherent reflection.
Antirelaxation coatings in atomic vapor cells allow ground-state coherent spin states to survive many collisions with the cell walls. This reduction in the ground-state decoherence rate gives rise to ultranarrow-bandwidth features in electromagnetically induced transparency (EIT) spectra, which can form the basis of, for example, long-time scale slow and stored light, sensitive magnetometers, and precise frequency standards. Here we study, both experimentally and theoretically, how Zeeman EIT contrast and width in paraffin-coated rubidium vapor cells are determined by cell and laser-beam geometry, laser intensity, and atomic density. Using a picture of Ramsey pulse sequences, where atoms alternately spend ``bright'' and ``dark'' time intervals inside and outside the laser beam, we explain the behavior of EIT features in coated cells, highlighting their unique characteristics and potential applications.
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.
The shape of the coherent population trapping resonance in optically thin cells with antirelaxation coating of the walls has been determined by solving the quantum kinetic equation for the single-atom density matrix. It has been found that motion and collisions with walls in the case of nondegenerate ground and excited states result in a significant change in the shape of the spectrum, in the appearance of a comb of additional resonances, and in shifts of the main resonance of coherent population trapping, which nonmonotonically depend on the size of the cell.
We describe a theoretical model, based on a density matrix and the Liouville equation, for the investigation of magneto-optical resonances in alkali-metal atomic vapor, in particular in the case of the electromagnetically induced transparency (EIT) in the presence of antirelaxation coatings. The influence of the coating is parametrized with an empirical coefficient describing its efficiency; the calculations are extended to a broad range of coating quality, contrary to previous works, and to uncoated cells. The model takes into account also different configurations for the EIT formation and different efficiency of optical pumping, as determined by the coating characteristics and the atomic energy structure. The model is validated by investigating the EIT with degenerate Zeeman levels in 39KD1^{39}\text{K} {D}_{1}39KD1​ and Cs D2{D}_{2}D2​ lines, which exhibit respectively an almost negligible and a relevant impact of hyperfine optical pumping. The results are compared to experimental data, exhibiting good agreement; in particular, for the 39KD1^{39}\text{K} {D}_{1}39KD1​ line, recent findings are shown here in the case of degenerate and nondegenerate EIT with amplitude-modulated light. Our results demonstrate an effective approach for the investigation of antirelaxation coatings and their contribution in the formation of magneto-optical resonances in alkali-metal atoms, in different regimes and with largely different efficiencies. This sheds new light on well-known but not yet entirely clarified phenomena and their behavior as a function of experimental parameters.