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

Optics and Spectroscopy

Photon statistics upon consecutive parametric interactions of light waves with nonmultiple frequencies

A. V. Rodionov, A. S. Chirkin

Published Jun 8, 2004• 8 citations
Publisher

Abstract

Quasi-phase-matched consecutive three-frequency interactions between waves with nonmultiple frequencies are considered. The quantum theory of parametric amplification is developed in the approximation of an undepleted low-frequency pump field in the Heisenberg representation. It is shown that, with a certain choice of quasi-phase-matching orders, the regime of exponential increase in the mean number of photons of interacting waves can be realized. In this case, the photon statistics of generated waves is super-Poissonian one. The correlation of fluctuations of numbers of photons with different frequencies is also considered.

DOI
10.1134/1.1753637

Related papers

Generation of nonclassical light in parametric amplification of counterpropagating waves in consecutive interactions

V. V. Volokhovskii, Anatolii S Chirkin

A quantum theory of consecutive interactions of counterpropagating waves with multiple frequencies ω, 2ω, and 3ω is developed. Parametric processes of high- and low-frequency amplification of ω and 3ω waves are studied in the approximation of an undepleted 2ω pump field. Fluctuations of quadrature components, statistics of photons, and correlation between fluctuations of photon numbers are considered at these frequencies.

Quantum Electronics•May 31, 2001•4 citations

Generation of high frequency photons with sub-Poissonian statistics at consecutive interactions

A. S. Chirkin, A V Nikandrov

The process of parametric amplification at high frequency pumping, which is accompanied by optical frequency mixing in the same nonlinear crystal (NC), is considered. It is shown that if a signal wave is in a coherent state at the input of the NC, then the radiation with signal and summary frequencies can have sub-Poissonian photon statistics at the output of the NC in the deamplification regime. The Fano factors as functions of parameters of the problem are studied.

Journal of Optics B Quantum and Semiclassical Optics•Mar 28, 2003•7 citations

The formation of a light field with suppressed photon fluctuations by nonlinear optical methods

A. V. Nikandrov, A. S. Chirkin

A quantum theory is developed to describe optical parametric amplification under low-frequency pumping, which is observed in nonlinear photonic crystals in sequential interactions of light waves with multiple frequencies. Spatial variations of the mean number of photons and the Fano factor at signal and additional frequencies are analyzed. It is shown that a field with a sub-Poisson statistics of photons can be formed at a signal frequency which is 1.5 times higher than the frequency of pumping.

Journal of Experimental and Theoretical Physics Letters•Sep 1, 2002•9 citations

Entangled and squeezed photon states at consecutive and simultaneous quasi-phase-matched wave interactions

A. S. Chirkin

The results of quantum analysis of the light generated by consecutive and simultaneous quasi-phase-matched (QPM) wave interactions in periodically poled nonlinear crystals (PPNCs) are presented. In the case of the consecutive interactions of waves with multiple frequencies ω, 2ω and 3ω, the parametric amplification at low-frequency pumping is investigated. Generation of the quadrature-squeezed light at frequencies ω and 3ω in the 2ω frequency pumping field, the photon statistics and correlation as well as the entanglement properties for photons produced at different frequencies are studied. In the case of simultaneous QPM spontaneous parametric down-conversion processes in single PPNC, the main attention is paid to obtaining the polarization-entangled states at the collinear geometry of the wave interaction.

Journal of Optics B Quantum and Semiclassical Optics•Apr 5, 2002•23 citations

Entangled photon states in consecutive nonlinear optical interactions

A. V. Rodionov, A. S. Chirkin

Quantum theory of two consecutive light-wave parametric interactions with aliquant frequencies produced by a common pump wave in a crystal is developed. Using the differentiation method, the unitary evolution operator of the system is reduced to an ordered form that allows the calculation of the field state and the statistical characteristics of interacting waves. It is shown that, for the initial vacuum field state, the created photons obey the super-Poisson statistics at the interacting frequencies and are in a multiparticle entangled state.

Journal of Experimental and Theoretical Physics Letters•Mar 1, 2004•35 citations

Parametric image amplification at low-frequency pumping

A. S. Chirkin, E. V. Makeev

We develop for the first time the quantum theory of parametric image amplification at low-frequency pumping. Such a process can be implemented by coupled consecutive three-frequency optical interactions. As a result, besides the amplified optical image on the signal frequency, there are two other images with frequencies which are below the pumping frequency. The theory developed takes into account the diffraction effect and group mismatch of interacting waves. For the interacting waves the expressions for mean photon numbers and signal-to-noise ratios are deduced and the dependence of these parameters on the interaction length and coordinate at the image plane are studied.

Journal of Modern Optics•Feb 21, 2006•10 citations
Quasi-phase-matched consecutive three-frequency interactions between waves with nonmultiple frequencies are considered. The quantum theory of parametric amplification is developed in the approximation of an undepleted low-frequency pump field in the Heisenberg representation. It is shown that, with a certain choice of quasi-phase-matching orders, the regime of exponential increase in the mean number of photons of interacting waves can be realized. In this case, the photon statistics of generated waves is super-Poissonian one. The correlation of fluctuations of numbers of photons with different frequencies is also considered.
The results of quantum analysis of the light generated by consecutive and simultaneous quasi-phase-matched (QPM) wave interactions in periodically poled nonlinear crystals (PPNCs) are presented. In the case of the consecutive interactions of waves with multiple frequencies ω, 2ω and 3ω, the parametric amplification at low-frequency pumping is investigated. Generation of the quadrature-squeezed light at frequencies ω and 3ω in the 2ω frequency pumping field, the photon statistics and correlation as well as the entanglement properties for photons produced at different frequencies are studied. In the case of simultaneous QPM spontaneous parametric down-conversion processes in single PPNC, the main attention is paid to obtaining the polarization-entangled states at the collinear geometry of the wave interaction.
Quantum theory of two consecutive light-wave parametric interactions with aliquant frequencies produced by a common pump wave in a crystal is developed. Using the differentiation method, the unitary evolution operator of the system is reduced to an ordered form that allows the calculation of the field state and the statistical characteristics of interacting waves. It is shown that, for the initial vacuum field state, the created photons obey the super-Poisson statistics at the interacting frequencies and are in a multiparticle entangled state.
We develop for the first time the quantum theory of parametric image amplification at low-frequency pumping. Such a process can be implemented by coupled consecutive three-frequency optical interactions. As a result, besides the amplified optical image on the signal frequency, there are two other images with frequencies which are below the pumping frequency. The theory developed takes into account the diffraction effect and group mismatch of interacting waves. For the interacting waves the expressions for mean photon numbers and signal-to-noise ratios are deduced and the dependence of these parameters on the interaction length and coordinate at the image plane are studied.