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Quantum Electronics

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

V. V. Volokhovskii, Anatolii S Chirkin

Published May 31, 2001• 4 citations
Publisher

Abstract

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.

DOI
10.1070/qe2001v031n05abeh001974

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Quantum properties of parametric amplification and frequency conversion of an optical image in coupled parametric interactions are analyzed for the case of a remote object. The coupled-wave interaction consists of a traditional process of parametric amplification in the high-frequency pump field accompanied by the frequency mixing of generated and pump waves. The photon number density and signal-to-noise ratio at the interacting frequencies are studied in the image plane at the output of the nonlinear frequency converter in the fixed pump field approximation. The degree of entanglement of optical images at frequencies above and below the pump frequency is investigated.
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.