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Physical Review A

All-optical grating in a V+Ξ configuration using a Rydberg state

Forough Bozorgzadeh, Mostafa Sahrai

Published Oct 10, 2018• 28 citations
Publisher

Abstract

We present a theoretical model for controlling the Fraunhofer diffraction patterns of a weak probe field passing through an atomic vapor. In this model a Rydberg state is taken as the uppermost level. The proposed system contains a combined two well-known $V$- and $\mathrm{\ensuremath{\Xi}}$-type configurations which are exposed to a weak probe field and two control fields. The position-dependent feature of the atom-field interaction leads to the periodic transmission spectrum, and various Fraunhofer diffraction patterns are obtained due to the all-optical grating. Also, it is shown that the intensity of the higher-order diffraction can be controlled by tuning the coupling field intensity and the interaction length.

DOI
10.1103/physreva.98.043822

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We present a theoretical model for controlling the Fraunhofer diffraction patterns of a weak probe field passing through an atomic vapor. In this model a Rydberg state is taken as the uppermost level. The proposed system contains a combined two well-known VVV- and \ensuremathΞ\mathrm{\ensuremath{\Xi}}\ensuremathΞ-type configurations which are exposed to a weak probe field and two control fields. The position-dependent feature of the atom-field interaction leads to the periodic transmission spectrum, and various Fraunhofer diffraction patterns are obtained due to the all-optical grating. Also, it is shown that the intensity of the higher-order diffraction can be controlled by tuning the coupling field intensity and the interaction length.
configuration coherent rubidium thermal vapor. This new energy level structure employs a Rydberg level as the uppermost level and contains two typical electromagnetically induced transparency energy level configurations with the same probe field. Compared with the traditional V-type three-level grating, a significant improvement of the diffraction efficiency of this novel grating was observed. Its improvement was then also demonstrated experimentally by the transition spectrum and theoretically by a comprehensive simulation. The diffraction efficiency gain introduced by the control laser field was tuned with several experimental parameters, such as the atomic density and the control field intensity. And the maximum enhancement rate of first-order diffraction efficiency is proved to be as high as 30%. Such a novel all-optical tunable grating promises to be the new driving force in the advancement of all-optical communications and information technology.
Abstract A probe laser beam can be completely absorbed in an atomic resonance frequency region, however, if a coupling laser beam is further applied to the atom, the atomic medium can exhibit electromagnetically induced transparency, i.e the probe beam can be completely transmitted through the atomic medium. Thus, if the coupling beam is a standing wave field with nodes and antinodes, it will cause in space a periodic modulation of the transmitted spectrum of the probe field. This means that the probe field propagates through the atomic medium just as it passes through a diffraction grating which is called electromagnetically induced grating. Based on amplitude or phase modulation of transmission function, the absorption grating or the phase grating can be formed, respectively. In this work, based on controllable absorption and dispersion properties of a three-level V-type atomic system, we study the control of the absorption grating and the phase grating with respect to the intensity and the frequency of the laser fields. The absorption diffraction pattern at the two-photon resonance is obtained, while the phase diffraction pattern appears when there is a frequency shift of either the coupling frequency or the probe frequency compared to the corresponding atomic resonance frequency. By adjusting the coupling or/and probe laser frequency, the absorption grating can be converted into the phase grating and the high-order diffraction efficiency can also be improved.
Abstract In this paper, we investigated electromagnetically induced grating in a three-level atomic system via relative phase between applied lights. The three-level atomic system interacts with a weak probe light, a signal light and a strong standing wave coupling light in two-dimensional directions. We realized that Fraunhofer diffraction pattern can be obtained by tuning the intensity and detuning’s of the coupling light. We also use of optical vortex light instead of optical plane wave and found that the asymmetric diffraction pattern can be obtained via orbital angular momentum (OAM), respectively. We also studied the different orders of the diffraction pattern versus relative phase of applied lights for different number of OAM.
A method for diffracting the weak probe beam into unidirectional and higher-order directions is proposed via a Rydberg electromagnetically induced grating, providing a way for the implementations of quantum devices with cold Rydberg atoms. The proposed scheme utilizes a suitable position-dependent adjustment to the two-photon detuning besides the modulation of the standing-wave coupling field, producing an in-phase modulation which can change the parity of the dispersion. We observe that when the modulation amplitude is appropriate, a perfect unidirectional diffraction grating can be realized. In addition, due to the mutual effect between the van der Waals (vdW) interaction and the atom-field interaction length that deeply improves the dispersion of the medium, the probe energy can be counterintuitively transferred into higher-order diffractions as increasing the vdW interaction, leading to the realization of a controllable higher-order diffraction grating via a strong blockade.
Abstract We have theoretically studied the electromagnetically induced grating (EIG) in a three-level closed Λ-type atomic system. The upper level is coupled to the two lower levels via a strong control and a weak probe field. In addition to these two optical fields a weak microwave field is also applied to couple the lower two levels. Our results show that the relative phase of the three fields in the presence of microwave field enhances the dispersion in the medium and consequently provides control over magnitude of the diffraction intensities. We have optimized the system parameters such as strength of the fields and interaction length to attain increased first order diffraction. Furthermore, we have also studied the effects of probe detuning on diffraction intensities. Interestingly, the probe detuning results in suppression of the zeroth order intensity while increasing the higher order intensities.
We investigate the realization and manipulation of a two-dimension (2D), asymmetric, electromagnetically induced grating (EIG) in a sample of Rydberg atoms exhibiting the van der Waals (vdW) interactions. The scheme relies on the application of a strong control field and a weak probe field, with the former periodically modulated in a 2D plane and the latter incident perpendicular to the 2D plane. We find that the probe field can be diffracted into an asymmetric intensity distribution depending on the relevant modulation parameters of the control field, as well as the density and length of the atomic sample. In particular, higher-order diffraction intensities can be enhanced in different ways as the vdW interaction, modulation strength, or sample length is increased. It is also of interest that the asymmetric diffraction distribution can be shifted to different quadrants by choosing appropriate modulation phases of the control field. These results may be used to develop new photonic devices with asymmetric diffraction properties required in future all-optical networks.