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arXiv:1607.08281 · Journal of Physics B Atomic Molecular and Optical Physics

Multi-photon resonance phenomena using Laguerre–Gaussian beams

Seyedeh Hamideh Kazemi, Mohammad Mahmoudi

Published Nov 22, 2016• 13 citations
arXivHTMLPDF

Abstract

We study the influence of laser profile on the linewidth of the optical spectrum of multi-photon resonance phenomena. First, we investigate the dependence of the absorption spectrum on the laser profile in a two-level system. Thanks to the Laguerre–Gaussian field, the linewidth of the one-photon optical pumping and two-photon absorption peaks are explicitly narrower than that obtained with a Gaussian field. In the next section, it is shown that, compared to the Gaussian fields, the Laguerre–Gaussian ones reduce the linewidth of the optical spectrum in the coherent population trapping. Interestingly, it turns out that the use of a Laguerre–Gaussian beam makes the linewidth of the spectrum narrower as compared with a Gaussian one in Doppler-broadened electromagnetically induced transparency. Moreover, we study the effect of the laser profile on the Autler–Townes doublet structure in the absorption spectrum for a laser-driven four-level atomic system. We also consider the different values of the Laguerre–Gaussian mode beam waist, and, perhaps more remarkably, we find that for the small waist values, the Autler–Townes doublet can be removed and a prominent narrow central peak appears in the absorption spectrum. Finally, we investigate the effect of the laser profile on the linewidth of the sub-natural three-photon absorption peak of double dark resonance. The differences in the linewidth are quite large, offering potential applications in metrology and isotope separation methods. Our results can be used for super ultra-high resolution laser spectroscopy and to improve the resolution of the technology of isotope/isomer separation and photo-biology even at essential overlap of the spectra of the different particles.

DOI
10.1088/0953-4075/49/24/245401

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We study the influence of laser profile on the linewidth of the optical spectrum of multi-photon resonance phenomena. First, we investigate the dependence of the absorption spectrum on the laser profile in a two-level system. Thanks to the Laguerre–Gaussian field, the linewidth of the one-photon optical pumping and two-photon absorption peaks are explicitly narrower than that obtained with a Gaussian field. In the next section, it is shown that, compared to the Gaussian fields, the Laguerre–Gaussian ones reduce the linewidth of the optical spectrum in the coherent population trapping. Interestingly, it turns out that the use of a Laguerre–Gaussian beam makes the linewidth of the spectrum narrower as compared with a Gaussian one in Doppler-broadened electromagnetically induced transparency. Moreover, we study the effect of the laser profile on the Autler–Townes doublet structure in the absorption spectrum for a laser-driven four-level atomic system. We also consider the different values of the Laguerre–Gaussian mode beam waist, and, perhaps more remarkably, we find that for the small waist values, the Autler–Townes doublet can be removed and a prominent narrow central peak appears in the absorption spectrum. Finally, we investigate the effect of the laser profile on the linewidth of the sub-natural three-photon absorption peak of double dark resonance. The differences in the linewidth are quite large, offering potential applications in metrology and isotope separation methods. Our results can be used for super ultra-high resolution laser spectroscopy and to improve the resolution of the technology of isotope/isomer separation and photo-biology even at essential overlap of the spectra of the different particles.
Electromagnetically induced transparency (EIT) in a molecular three-level Λ system with permanent dipole moments (PDMs) and the control beam in Laguerre–Gaussian (LG) mode is investigated. The results are compared with the atomic system where the use of LG mode yields EIT linewidth narrower than that with Gaussian mode. It is shown that in contrast to the atomic system, the linewidth of EIT in the dipolar molecular system with LG mode can be narrower as well as broader than that with Gaussian mode depending on the strength of the effective laser-molecule coupling. Peculiar space dependence of Bessel function in the laser-molecule coupling is at the origin of this distinctive feature. The results are further augmented by a discussion on PDM-mediated multi-photon absorption and multi-photon EIT profiles with LG and Gaussian modes.
Abstract Use of the Laguerre–Gaussian (LG) beams in an atom-light interaction makes the linewidth of the optical spectrum narrow. We exploit this fact for providing the ability to accomplish simultaneous ultra-high precision and spatial resolution atom localization in a double-Λ atomic system; under multi-photon resonance condition, the resolution of the localization is remarkably improved so that the atom can be localized in a region smaller than λ /100 × λ /100. Most prominently, the probability of finding the atom at a particular position is always 100%, when a photon with certain frequencies is absorbed or amplified. Such features are mainly attributed to radial dependence associated with the LG beams in a spatially dependent atom-light interaction.
We observe resonances with width 20 times below the natural linewidth for a probe laser on an optical transition, when the same transition is driven by a control laser with a Laguerre-Gaussian (LG) profile. The basic mechanism is the phenomenon of electromagnetically induced transparency and absorption (EITA). Aligning the Gaussian probe beam to the central hole in the LG control beam simultaneously allows a strong control intensity required for high signal-to-noise ratio and a low intensity in the probe region required to get narrow resonances. We observe these resonances on the D2D_2D2​ line of Rb in a room-temperature vapor cell and show that the linewidth is reduced by a factor of 4 compared to the use of a Gaussian control beam, which should prove advantageous in all applications of EITA.
Abstract An experiment on the saturated absorption spectroscopy (SAS) of 87Rb-D2 line is performed using the Laguerre–Gaussian (LG) beam as structured light. The theoretical simulation of which is done by considering a four-level atom-laser coupled system. The theoretically simulated spectra fairly match with the experimentally observed spectra. The line-width narrowing behavior of both the observed hyperfine and crossover resonances in the Doppler-broadened probe absorption spectra is attributed by the spatially dependent Rabi frequency of the pump LG beam irrespective of the characteristics of the probe beam. The results also illustrated that the narrowing behavior of the line shapes of the hyperfine structure using the LG beam is universal in nature, i.e. irrespective of hyperfine or crossover transitions. This structured light-induced narrowing of line-width of the sub-Doppler hyperfine and crossover resonances can be utilized for high-precision laser frequency locking at a particular hyperfine or crossover transition. Moreover, a significant narrowing of hyperfine and crossover resonances with the variation of the orbital angular momentum (OAM) number of the LG beam shows that the generated SAS signal can be manipulated by using the OAM of the structured light as a control knob.
Depending on a four-level inverted-Y atomic system, we demonstrate the limitation of linewidth-narrowing for the probe absorption spectrum in the electromagnetic induced absorption platform. Thanks to the use of an auxiliary control field which couples one hyperfine ground state and one middle-excited state we show that the linewidth limitation can be constrained by a coherence decay rate between two hyperfine ground states, rather than by the decay rate between the ground and the excited states as in previous Ladder schemes. That fact makes the theoretically-predicted absorption linewidth at least two orders of magnitude narrower. By using a suitable adjustment for the control-field amplitude and the detuning we numerically show that an extremely-narrowed probe absorption spectrum accompanied by a higher spectra contrast can be obtained, which confirms well with our theoretical predictions. We study the transient time response to the absorption spectrum and show that a relatively longer response time arises due to the small coherence decay rate between two hyperfine ground states. Furthermore, we reduce the influence on linewidth-narrowing from the Doppler effect via an optimized design of lasers, and reveal that no Doppler-free effect exists due to the lack of three-photon process. Our results may pave a route to the development of high-resolution spectroscopy in current experiments.
Abstract In this paper, we present a theoretical analysis of the burning of a narrow transparency window on the enhanced absorption spectrum of a probe laser in a triple resonance configuration visualized as a V-type plus a two-level system. The transparency window is due to coherence effects causing electromagnetically induced transparency (EIT) in a V-type system (i.e. Autler–Townes splitting plus quantum interference), for atomic vapor at a finite temperature. Additionally, the EIT window is enhanced by velocity induced population oscillation effect, velocity selective saturation effect, optical pumping effect (a source of ground state level population dynamics) and wavelength mismatch of the resonant laser fields forming a V-type configuration.