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

Bulletin of the Russian Academy of Sciences Physics

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

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

Published Dec 1, 2017• 2 citations
Publisher

Abstract

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.

DOI
10.3103/s1062873817120036

Related papers

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

The polarization of two-level atom in the polychromatic weak field

S. A. Pulkin, A. G. Antipov, Alexey A. Kalinichev +2 more

The numerical solution for polarization for two-level atom in polyharmonic field has been made. The analytical solution for partial case of symmetrical position of carrier frequency relative to transition frequency is possible. The results showed that the nonlinear features in polarization spectrum take place even for small amplitudes of comb-components for small frequency distance between them. It means that it is necessary to take into account nonlinear effects for interpretation of spectra in comb spectroscopy.

arXiv:1405.6383•May 25, 2014•0 citations

Nonlinear comb spectroscopy

A. S. Sumarokov, Svetlana Uvarova, A. G. Antipov +2 more

A numerical solution for the polarization of two-level atoms that interact with a polyharmonic field was obtained. An analytical solution for the particular case of a symmetrical position of carrier frequency relative to transition frequency is possible. The results showed that nonlinear effects occur in a polarization spectrum at the small amplitudes of comb components and small frequency distances between them. Consequently, it is necessary to take into account nonlinear effects in comb spectroscopy.

Russian Journal of Physical Chemistry B•Jan 1, 2017•1 citation

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

The polarization of two-level atom in the polychromatic field

A. G. Antipov, S. A. Pulkin, A. S. Sumarokov +2 more

The numerical solution for polarization for two-level atom in polyharmonic field has been made. The analytical solution for partial case of symmetrical case relative to the frequency of the homogeneously broadened transition confirmed numerically. The results can be used in the nonlinear comb spectroscopy.

Optics and Spectroscopy•Jun 1, 2015•8 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
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.
The numerical solution for polarization for two-level atom in polyharmonic field has been made. The analytical solution for partial case of symmetrical position of carrier frequency relative to transition frequency is possible. The results showed that the nonlinear features in polarization spectrum take place even for small amplitudes of comb-components for small frequency distance between them. It means that it is necessary to take into account nonlinear effects for interpretation of spectra in comb spectroscopy.
A numerical solution for the polarization of two-level atoms that interact with a polyharmonic field was obtained. An analytical solution for the particular case of a symmetrical position of carrier frequency relative to transition frequency is possible. The results showed that nonlinear effects occur in a polarization spectrum at the small amplitudes of comb components and small frequency distances between them. Consequently, it is necessary to take into account nonlinear effects in comb spectroscopy.
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.