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Laser Physics Letters

Raman-induced transfer of optical vortices

Linjie Ding, Fei Wang, Fanggui Hu

Published Feb 14, 2022• 3 citations
Publisher

Abstract

Abstract We explore the concept that the Raman process can be used as an effective way for transfer of optical vortices. In a four-level atomic system, two strong fields are applied to form a Λ-type subsystem while two probe fields couple to the other cascade transitions. It is found that the optical vortex of a control field can be transferred to a generated probe beam based on four-wave mixing processes, wherein the one-photon detuning plays an important role in minimizing the losses. On the other hand, when the control fields have no vortices, the transfer is realized between two probe beams for intermediate values of atomic coherence induced by the Raman process, vanishing both for the minimal value 0 and for the maximal values ±0.5. We have also analyzed the spatial structures of the propagating probe beams with optical vortices at the entrance, displaying that the information of winding numbers is hidden behind the intensity distributions and corresponding phase patterns. This may find potential applications in quantum information storage.

DOI
10.1088/1612-202x/ac5047

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Abstract We explore the concept that the Raman process can be used as an effective way for transfer of optical vortices. In a four-level atomic system, two strong fields are applied to form a Λ-type subsystem while two probe fields couple to the other cascade transitions. It is found that the optical vortex of a control field can be transferred to a generated probe beam based on four-wave mixing processes, wherein the one-photon detuning plays an important role in minimizing the losses. On the other hand, when the control fields have no vortices, the transfer is realized between two probe beams for intermediate values of atomic coherence induced by the Raman process, vanishing both for the minimal value 0 and for the maximal values ±0.5. We have also analyzed the spatial structures of the propagating probe beams with optical vortices at the entrance, displaying that the information of winding numbers is hidden behind the intensity distributions and corresponding phase patterns. This may find potential applications in quantum information storage.
We propose a scheme to exchange optical vortices of slow light using the phenomenon of electromagnetically induced transparency in a four-level double-$\mathrm{\ensuremath{\Lambda}}$ atom-light coupling scheme illuminated by a pair of probe fields as well as two control fields of larger intensity. We study the light-matter interaction under the situation where one control field carries an optical vortex, and another control field has no vortex. We show that the orbital angular momentum (OAM) of the vortex control beam can be transferred to a generated probe field through a four-wave-mixing process and without switching on and off of the control fields. Such a mechanism of OAM transfer is much simpler than in a double-tripod scheme in which the exchange of vortices is possible only when two control fields carry optical vortices of opposite helicity. The losses appearing during such OAM exchange are then calculated. It is found that the one-photon detuning plays an important role in minimizing the losses. An approximate analytical expression is obtained for the optimal one-photon detuning for which the losses are minimum while the intensity of generated probe field is maximum. The influence of phase mismatch on the exchange of optical vortices is also investigated. We show that in presence of phase mismatch the exchange of optical vortices can still be efficient.
The transfer of optical vortices is studied based on double two-photon processes in a four-level diamond configuration system. A pair of strong fields are applied to prepare atomic coherence, while two weak probe fields are coupled with the other two transitions. When the two-photon resonances are satisfied, the analytical results for the intensities of the probe fields are calculated using perturbation theory and an adiabatic approximation approach. Our results explore whether the orbital angular momentum of an input probe beam or the second control field can be transferred to the generated probe field, and this is verified by numerical simulation. It is interesting that as the intensities of the control fields increase, the propagation of probe beams exhibits oscillation behaviors only when the one-photon detuning is nonzero. Furthermore, we show that the absorption losses are minimized, and the transfer efficiency is enhanced by appropriately modifying the one-photon detuning together with the control-field Rabi frequencies.
A scheme for high-efficiency transfer of optical vortices is proposed by an inelastic two-wave mixing (ITWM) process in an inverted-Y four-level atomic medium, which is originally prepared in a coherent superposition of two ground states. The orbital angular momentum (OAM) information in the incident vortex probe field can be transferred to the generated signal field through the ITWM process. Choosing reasonable experimentally realizable parameters, we find that the presence of the off-resonance control field can greatly improve the conversion efficiency of optical vortices, rather than in the absence of a control field. This is caused by the broken of the destructive interference between two one-photon excitation pathways. Furthermore, we also extend our model to an inelastic multi-wave mixing process and demonstrate that the transfer efficiency between multiple optical vortices strongly depends on the superposition of the ground states. Finally, we explore the composite vortex beam generated by collinear superposition of the incident vortex probe and signal fields. It is obvious that the intensity and phase profiles of the composite vortex can be effectively controlled via adjusting the intensity of the control field. Potential applications of our scheme may exist in OAM-based optical communications and optical information processing.
We propose and analyze an efficient scheme for the coherent transfer of optical vortices in a cold atomic ensemble with four-level double-$\mathrm{\ensuremath{\Lambda}}$ configuration. The orbital angular-momentum (OAM) information can be transferred from the incident vortex fields to the generated backward signal field via resonant backward four-wave mixing (FWM). Considering the single vortex probe field initially acting on one transition of the atomic ensemble and using experimentally achievable parameters, we identify the conditions under which the resonant backward FWM allows us to greatly improve the conversion efficiency of optical vortices beyond what is achievable in the resonant forward OAM transfers. It is found that the complete energy conversion of optical vortices originates from the perfect competition between linear absorption and parametric gain. We also demonstrate that the phase mismatching would be detrimental to the high-efficiency transfer of optical vortices. Furthermore, we show that the generated backward signal field develops a new pure or mixing OAM state when the control field is also a vortex beam. Finally, we investigate the composite vortex beam generated by collinear superposition of the incident vortex probe and signal fields, which can controlled via adjusting the intensity of the control field. Our scheme may have potential applications in OAM-based optical communication and optical information processing.
Abstract We have proposed a double scheme for the efficient generation and control of spatial four-wave mixing (FWM)-induced ultraviolet light via optical angular momentum transfer from a vortex-field (Laguerre–Gaussian (LG) beam) applied once to the excited transition of the first two-photon ladder and then in the uppermost transition of the three-photon ladder in the FWM-loop configuration of a five-level atomic excitation mechanism. In both the LG-cases, at the conditions of resonant and off-resonant detunings of the two coherent fields with high Rabi frequencies guiding the multi-photon excitation route in the system, it has been shown that the vortex FWM light can propagate either in the superluminal or in the subluminal regime depending upon ‘turned-off’ and ‘turned-on’ conditions of a Raman field outside the FWM-loop, respectively. Such switching phenomenon is the most interesting outcome of the present study along with the significant phase-twisting effects as manifested in the helical phase patterns in both the LG-cases. Thus, the practical implementation of the present model under a cold atomic environment paves up a novel way of obtaining structured high-dimensional light transfer process based on the mechanism of nonlinear photonics, which might have potential applications in quantum information processing and technology in the near future.
Abstract Vortex beams have important applications in a number of physical fields such as optical information processing, optical imaging, etc. Nonreciprocal propagation of light often plays a key role in some occasions in these applications. In this work, we investigate the nonreciprocal propagation of a vortex beam using a far-off resonant Raman process in a Λ -type three-level thermal atomic system. The probe vortex can propagate with high transmission in the backward direction and be well isolated in the forward direction. Via adjusting the strong control field and the atom temperature, the forward transmission of the probe vortex can be further suppressed, and higher isolation can be achieved under the use of a controlled vortex with the same orbital angular momentum. This work may provide reference for experimental studies on the nonreciprocal transmission of vortex beams and find applications in vortex isolators and circulators.