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

Журнал технической физики

Асимптотическое разложение спектра поляризации двухуровневой системы в полихроматическом поле в пределе малых амплитуд

A. G. Antipov, S. A. Pulkin, С.В. Уварова

Published Jan 1, 2019• 0 citations
Publisher

Abstract

A two-level media driven by a polychromatic field is considered in the limit of small amplitudes. In this limit the asymptotic expansions for the polarization spectra of an arbitrary order are obtained. The obtained polarization spectra were compared with the numerical solution of the density matrix equation. Compared to numerical methods, the asymptotic expansion allows analytically estimating the contribution of each individual component of the polychromatic field and describing the intermode interaction. However, as the intensity of the acting field grows, the computational efficiency of the method decreases and to achieve the required accuracy it is necessary to increase the order of the asymptotic expansion.

DOI
10.21883/os.2019.08.48043.246-18

Related papers

Asymptotic Expansion of the Polarization Spectrum of a Two-Level System in a Polychromatic Field in the Small-Amplitude Limit

A. G. Antipov, S. A. Pulkin, Svetlana Uvarova

Abstract The impact of a polychromatic field on a two-level medium is considered in the limit of small amplitudes. In the indicated limit, we obtained asymptotic expansions of the polarization spectra of an arbitrary order of smallness. These polarization spectra were compared with the results of the numerical solution of the density matrix equation. Compared to numerical calculation methods, the asymptotic expansion offers an analytical estimation of the contribution of each individual component of a polychromatic field and a description of the intermode interaction. However, with an increase in the intensity of the driving field, the computational efficiency of the method decreases, since, to achieve the required accuracy, it is necessary to increase the order of the asymptotic expansion.

Optics and Spectroscopy•Aug 1, 2019•0 citations

Multimodal Interaction in Two-Level Media Driven by a Symmetric Polychromatic Field

I.K. Korshok, A. G. Antipov, S. A. Pulkin +1 more

an interaction of two-level media with a symmetric polychromatic field is considered in the limit of small field amplitudes. Corrections of the third order and above allow us to describe a nonlinear response to the field and a multimodal interaction. The obtained absorption spectra were compared with numerical solutions of density matrix equation in the rotating wave approximation.

International Conference Laser Optics (ICLO)•Jun 1, 2018•0 citations

Nonlinear interaction between a two-level atom and a weak polychromatic field

A. G. Antipov, S. A. Pulkin, Svetlana Uvarova

The interaction between two-level media and a polychromatic field is considered in the limit of small field amplitudes. The obtained third-order corrections allow us to describe a nonlinear response to the field and intermodal interaction. The obtained polarization spectra are compared to numerical solutions to the density matrix equation in the rotating wave approximation. The results can be used in nonlinear comb spectroscopy.

Bulletin of the Russian Academy of Sciences Physics•Dec 1, 2017•2 citations

Нелинейные резонансы в спектре поляризации и восприимчивости двухуровневой атомной системы в трехмодовом световом поле

Венцислав Иванов, S. A. Pulkin, Evald E. Fradkin +1 more

A two-level atomic system driving by the three-mode light field was researched. In the special case the simple analytical solution was found. The positions of the resonances in the polarization and susceptibility spectrum were predicted when the detuning between side band components is changed.

Вестник Санкт-Петербургского университета. Серия 4. Физика. Химия•Jan 1, 2007•0 citations

Polarization of two-level atom in a weak polychromatic field

A. G. Antipov, Alexey A. Kalinichev, S. A. Pulkin +4 more

Numerical solutions have been obtained for 2-level atom driven by a polychromatic field. Two different methods of analytical solution were proposed for any case of position of the field's components.

Journal of Physics Conference Series•Aug 1, 2016•4 citations

Nonlinear polarization in comb-spectroscopy

Svetlana Uvarova, A. G. Antipov, Sergey A. Pulkin +2 more

Two methods were applied to compute the 2-level atom driven by a polychromatic field. The first method is a direct numerical solution of the density matrix equations and the second one is a harmonic basis decomposition resulting in an infinite linear algebraic equation system. It is showed the resonance frequency mostly follows the transition frequency. But some frequency pulling or pushing is observed depending on the transition frequency inside the field component bounds or not.

International Conference Laser Optics (ICLO)•Jun 1, 2016•0 citations
A two-level media driven by a polychromatic field is considered in the limit of small amplitudes. In this limit the asymptotic expansions for the polarization spectra of an arbitrary order are obtained. The obtained polarization spectra were compared with the numerical solution of the density matrix equation. Compared to numerical methods, the asymptotic expansion allows analytically estimating the contribution of each individual component of the polychromatic field and describing the intermode interaction. However, as the intensity of the acting field grows, the computational efficiency of the method decreases and to achieve the required accuracy it is necessary to increase the order of the asymptotic expansion.
Abstract The impact of a polychromatic field on a two-level medium is considered in the limit of small amplitudes. In the indicated limit, we obtained asymptotic expansions of the polarization spectra of an arbitrary order of smallness. These polarization spectra were compared with the results of the numerical solution of the density matrix equation. Compared to numerical calculation methods, the asymptotic expansion offers an analytical estimation of the contribution of each individual component of a polychromatic field and a description of the intermode interaction. However, with an increase in the intensity of the driving field, the computational efficiency of the method decreases, since, to achieve the required accuracy, it is necessary to increase the order of the asymptotic expansion.