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

Japanese Journal of Applied Physics

Optical Amplification due to Parametric Interaction of Four Waves with a Four-Level System

Motowo Tsukakoshi

Published Jul 1, 1982• 1 citation
Publisher

Abstract

Four-wave parametric interactions in a four-level system are treated using semiclassical theory. Line-shape functions for a weak probe field and three resonant pump fields are presented and are evaluated numerically in a model case of equalized interaction energies and relaxation rates. For sufficiently intense pump fields, the line shape splits into five peaks, and negative absorption, i.e. amplification, occurs in some frequency regions of the probe field.

DOI
10.1143/jjap.21.l417

Related papers

Four-wave mixing in strongly driven four-level systems

F. A. M. de Oliveira, Cid Bartolomeu de Araujo, J. R. Rios Leite

A nonperturbative theoretical study of four-wave-mixing processes in four-level systems is presented. Using the density-matrix formalism, numerical results are obtained for two arbitrarily intense pump fields with the third field a weak probe. The fourth wave, radiated by the system, is obtained analytically for some special cases. We find, for different frequency detunings, Rabi frequencies, and relaxation rates that the line shapes exhibit: (i) dynamic Stark splitting and shifting, and merging of resonances; (ii) power broadening with two-photon antiresonance behavior resulting from a destructive interference between different contributions to the optical polarization; and (iii) extra resonances induced by field intensities and saturation processes.

Physical Review A•Dec 1, 1988•17 citations

Coherent Excitation of Multilevel Atomic Systems

Motowo Tsukakoshi

Interaction of multilevel atoms with intense radiation fields is treated in a simplified model using a semiclassical theory. Steady-state level-populations in four-level and five-level systems are calculated. It is found that population inversion appears between the highest level and an intermediate level under intense fields. The absorption lineshape of the transition between the highest two levels in a five-level or a six-level system is calculated in a weak probe-field approximation. The lineshape for the five-level (six-level) system splits into four (five) peaks at high excitation intensities.

Japanese Journal of Applied Physics•Oct 1, 1981•2 citations

Phase-dependent pump-probe line-shape formulas

Joseph H. Eberly, V. D. Popov

Pump-probe interactions underlie the physics of four-wave and other wave-mixing effects. We present analytic formulas for probe response in a special category of pump-probe experiments. We consider a two-level system excited by two distinct fields, the stronger field with fixed frequency and the weaker with a tunable frequency. We focus attention on the spectral regions near the Rabi sidebands of the strong field and its various subharmonics. We consider times sufficiently short that relaxation effects can be ignored, but sufficiently long to encompass many cycles of population oscillation between the ground and excited states. Because there is no damping, both fields are in this sense strong, and we report here the time average of the response. Our results are obtained by making a suitable second-order rotating wave approximation and are shown to involve the initial phase relation between the two fields as well as the initial angles of orientation of the two-level system's Bloch vector. Depending on these initial phase and orientation angles, the absorption line shape may be either positive or negative and either symmetric or antisymmetric.

Physical Review A•Mar 1, 1988•40 citations

Four-wave mixing in a three-level system interacting with an intense two-frequency pump wave

Motowo Tsukakoshi

A semiclassical treatment of four-wave mixing is presented for the case for which a two-frequency pump wave of arbitrary intensity and a weak probe wave interact with a three-level system. Numerical, as well as analytical, results for the emission spectra are obtained from the steady-state response. At high pump power, the spectra are strongly modified by the ac Stark effect.

Physical Review A•Sep 1, 1989•2 citations

Probe field absorption line shape at frequency-generated two-wave mixing by the double-resonance scheme

Anatoly A. Afanas'ev, B. A. Samson

The absorption line shape at frequency-degenerate two-wave mixing in an ensemble of three- level quantum systems with the doublet structure of the upper state has been calculated. The effect has been predicted of weak signal amplification at the saturating pump frequency in the regime of stationary interaction at homogeneous broadening of resonance absorption lines.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 17, 1993•1 citation

Nonlinear Dynamical Effects in the Absorption Spectra of Weak Electromagnetic Field and in Four-Wave Mixing

É. G. Pestov, Anatoly N. Oraevsky

The new nonlinear dynamical effects due to the influence of strong laser field (LF) on relaxation processes in two-level quantum systems are investigated. The dramatic change of the dependence of the probe field absorption spectral line shape and four-wave mixing amplification coefficient of weak field on LF intensity is discussed.

Nonlinear Dynamics in Optical Systems•Jan 1, 1990•0 citations
Four-wave parametric interactions in a four-level system are treated using semiclassical theory. Line-shape functions for a weak probe field and three resonant pump fields are presented and are evaluated numerically in a model case of equalized interaction energies and relaxation rates. For sufficiently intense pump fields, the line shape splits into five peaks, and negative absorption, i.e. amplification, occurs in some frequency regions of the probe field.
A nonperturbative theoretical study of four-wave-mixing processes in four-level systems is presented. Using the density-matrix formalism, numerical results are obtained for two arbitrarily intense pump fields with the third field a weak probe. The fourth wave, radiated by the system, is obtained analytically for some special cases. We find, for different frequency detunings, Rabi frequencies, and relaxation rates that the line shapes exhibit: (i) dynamic Stark splitting and shifting, and merging of resonances; (ii) power broadening with two-photon antiresonance behavior resulting from a destructive interference between different contributions to the optical polarization; and (iii) extra resonances induced by field intensities and saturation processes.
Interaction of multilevel atoms with intense radiation fields is treated in a simplified model using a semiclassical theory. Steady-state level-populations in four-level and five-level systems are calculated. It is found that population inversion appears between the highest level and an intermediate level under intense fields. The absorption lineshape of the transition between the highest two levels in a five-level or a six-level system is calculated in a weak probe-field approximation. The lineshape for the five-level (six-level) system splits into four (five) peaks at high excitation intensities.
Pump-probe interactions underlie the physics of four-wave and other wave-mixing effects. We present analytic formulas for probe response in a special category of pump-probe experiments. We consider a two-level system excited by two distinct fields, the stronger field with fixed frequency and the weaker with a tunable frequency. We focus attention on the spectral regions near the Rabi sidebands of the strong field and its various subharmonics. We consider times sufficiently short that relaxation effects can be ignored, but sufficiently long to encompass many cycles of population oscillation between the ground and excited states. Because there is no damping, both fields are in this sense strong, and we report here the time average of the response. Our results are obtained by making a suitable second-order rotating wave approximation and are shown to involve the initial phase relation between the two fields as well as the initial angles of orientation of the two-level system's Bloch vector. Depending on these initial phase and orientation angles, the absorption line shape may be either positive or negative and either symmetric or antisymmetric.