Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Electronics

Resonant Raman frequency mixing under electromagnetically induced transparency conditions

Vasily G. Arkhipkin

Published Apr 30, 1997• 3 citations
Publisher

Abstract

A fully resonant process of Raman mixing of the frequencies of one weak and two strong laser radiations is considered. A study is made of the influence of dynamic (field) splitting of the levels and of quantum interference on nonlinear processes, including the propagation and attenuation of weak pump radiation and of the generated radiation. It is shown that efficient nonlinear frequency mixing is possible in electromagnetically induced transparency regions.

DOI
10.1070/qe1997v027n04abeh000946

Related papers

Fully resonant three-wave mixing in isotropic media under induced transparency conditions

Vasily G. Arkhipkin, V. Yu. Apanovich

A theoretical investigation is reported of three-wave frequency mixing under simultaneous single-photon and two-photon resonance conditions when one of the fields being mixed is weak and the other is strong. A study is made of the influence of the field splitting on the nonlinear susceptibility in the case of homogeneously and Doppler-broadened transitions. An analysis is made of the role played by interference between quantum transitions via quasilevels in absorption and generation, and of its influence on mixing. It is shown that significant enhancement of the nonlinear generation efficiency is possible in optically dense media.

Quantum Electronics•Apr 30, 1997•0 citations

Resonant three-wave mixing in isotropic media using induced transparency

Vasily G. Arkhipkin, V. Y. Apanonich

Three-wave frequency mixing is theoretically investigated under simultaneous single- and two-photon resonances; one of the fundamental fields is weak while another one is strong. The influence of field splitting on nonlinear susceptibility is studied for both homogeneously- and Doppler-broadened transitions. We analyzed the role of interference of quantum transitions via quasilevels in absorption and nonlinear generation and its impact on mixing process. The possibility of significant enhancement of nonlinear generation efficiency in optically dense media is demonstrated.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 21, 1998•0 citations

Raman frequency mixing under coherent population trapping conditions

Vasily G. Arkhipkin, Д. В. Манушкин, S. A. Myslivets +1 more

An investigation is reported of resonant four-wave frequency mixing of the type ω 4 =ω 1 —ω 2 +ω 3 under coherent population trapping conditions. Such mixing may appear when radiations of frequencies ω 1,2 are strong and when ω 1 —ω 2 =ω 20 (ω 20 is the frequency of a dipole-forbidden transition). The density matrix method is used to calculate (taking quantum interference into account) the absorption coefficients, the refractive indices, and the nonlinear susceptibilities exactly for the strong fields and in the first order of perturbation theory for the weak fields. A study is made of the dependence of the power of nonlinear optical generation on various characteristics of the transitions and of the radiation, subject to the propagation effects. The cases of homogeneous and Doppler broadening of the resonant transitions are considered. The characteristics of transitions in the barium atom are used in numerical illustrations. It is shown that the efficiency of resonant nonlinear-optical conversion of radiation can be enhanced by utilising interference processes in quantum transitions, which represent coherent population trapping.

Quantum Electronics•Jul 31, 1998•7 citations

Resonant four-wave frequency mixing in Doppler-broadened transitions

A. K. Popov, S. A. Myslivets

The influence of nonlinear interference processes and of changes in populations in strong electromagnetic fields, and also of the Doppler broadening on resonant four-wave frequency mixing is investigated for a system of Raman-type transitions. The case in which a quantum system interacts with one weak field and two strong fields is considered. Each of the energy levels is assumed to be perturbed by just one strong field. It is shown that the Doppler broadening alters drastically the contributions of the populations of the various levels to the investigated process and that this can alter by several orders of magnitude and nonlinear susceptibilities averaged over the velocities and influence significantly the selection of optimal configurations of the transitions and of the experimental conditions for effective resonant four-wave conversion of the radiation frequencies. A numerical analysis of the derived expressions is used to account for the experimentally observed considerable differences between the spectral dependences of the output power and the conclusions drawn from perturbation theory.

Quantum Electronics•Nov 30, 1997•6 citations

Nonlinear mixing in the presence of transparency induced by an additional strong field

Vasily G. Arkhipkin

It is shown that the use of additional strong laser radiation may result in a resonant increase of the nonlinear susceptibility in the generation of the sum frequency and harmonics, and it may also reduce the absorption of the generated radiation near the centres of the Stark-split components. The phase-matching conditions are also satisfied near these centres. The conversion efficiency is two or three orders of magnitude higher than in the absence of an additional strong radiation field.

Quantum Electronics•Jan 31, 1995•3 citations

Suppression of the four-wave mixing amplification via Raman absorption

G. Romanov, Chris O’Brien, Irina V. Novikova

We propose a method to controllably suppress the effect of the four-wave mixing caused by the coupling of the strong control optical field to both optical transitions in the Λ system under the conditions of electromagnetically induced transparency (EIT). At sufficiently high atomic density, this process leads to amplification of a weak optical signal field, that is detrimental for the fidelity of any EIT-based quantum information applications. Here we show that an additional absorption resonance centred around the Stokes field frequency, generated in such a four-wave mixing process, may efficiently suppress the unwanted probe amplification without affecting properties of the EIT interaction. We discuss the possibility of creating such tunable absorption using two-photon Raman absorption resonances in the other Rb isotope, and present some preliminary experimental results.

arXiv:1509.08951•Journal of Modern Optics•Jan 22, 2016•13 citations
A fully resonant process of Raman mixing of the frequencies of one weak and two strong laser radiations is considered. A study is made of the influence of dynamic (field) splitting of the levels and of quantum interference on nonlinear processes, including the propagation and attenuation of weak pump radiation and of the generated radiation. It is shown that efficient nonlinear frequency mixing is possible in electromagnetically induced transparency regions.
A theoretical investigation is reported of three-wave frequency mixing under simultaneous single-photon and two-photon resonance conditions when one of the fields being mixed is weak and the other is strong. A study is made of the influence of the field splitting on the nonlinear susceptibility in the case of homogeneously and Doppler-broadened transitions. An analysis is made of the role played by interference between quantum transitions via quasilevels in absorption and generation, and of its influence on mixing. It is shown that significant enhancement of the nonlinear generation efficiency is possible in optically dense media.
Three-wave frequency mixing is theoretically investigated under simultaneous single- and two-photon resonances; one of the fundamental fields is weak while another one is strong. The influence of field splitting on nonlinear susceptibility is studied for both homogeneously- and Doppler-broadened transitions. We analyzed the role of interference of quantum transitions via quasilevels in absorption and nonlinear generation and its impact on mixing process. The possibility of significant enhancement of nonlinear generation efficiency in optically dense media is demonstrated.
An investigation is reported of resonant four-wave frequency mixing of the type ω 4 =ω 1 —ω 2 +ω 3 under coherent population trapping conditions. Such mixing may appear when radiations of frequencies ω 1,2 are strong and when ω 1 —ω 2 =ω 20 (ω 20 is the frequency of a dipole-forbidden transition). The density matrix method is used to calculate (taking quantum interference into account) the absorption coefficients, the refractive indices, and the nonlinear susceptibilities exactly for the strong fields and in the first order of perturbation theory for the weak fields. A study is made of the dependence of the power of nonlinear optical generation on various characteristics of the transitions and of the radiation, subject to the propagation effects. The cases of homogeneous and Doppler broadening of the resonant transitions are considered. The characteristics of transitions in the barium atom are used in numerical illustrations. It is shown that the efficiency of resonant nonlinear-optical conversion of radiation can be enhanced by utilising interference processes in quantum transitions, which represent coherent population trapping.
The influence of nonlinear interference processes and of changes in populations in strong electromagnetic fields, and also of the Doppler broadening on resonant four-wave frequency mixing is investigated for a system of Raman-type transitions. The case in which a quantum system interacts with one weak field and two strong fields is considered. Each of the energy levels is assumed to be perturbed by just one strong field. It is shown that the Doppler broadening alters drastically the contributions of the populations of the various levels to the investigated process and that this can alter by several orders of magnitude and nonlinear susceptibilities averaged over the velocities and influence significantly the selection of optimal configurations of the transitions and of the experimental conditions for effective resonant four-wave conversion of the radiation frequencies. A numerical analysis of the derived expressions is used to account for the experimentally observed considerable differences between the spectral dependences of the output power and the conclusions drawn from perturbation theory.
We propose a method to controllably suppress the effect of the four-wave mixing caused by the coupling of the strong control optical field to both optical transitions in the Λ system under the conditions of electromagnetically induced transparency (EIT). At sufficiently high atomic density, this process leads to amplification of a weak optical signal field, that is detrimental for the fidelity of any EIT-based quantum information applications. Here we show that an additional absorption resonance centred around the Stokes field frequency, generated in such a four-wave mixing process, may efficiently suppress the unwanted probe amplification without affecting properties of the EIT interaction. We discuss the possibility of creating such tunable absorption using two-photon Raman absorption resonances in the other Rb isotope, and present some preliminary experimental results.