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Quantum Electronics

Efficient cascade quasi-synchronous parametric generation with up-conversion

Vera M. Petnikova, В. А. Шувалов

Published Jun 23, 2010• 0 citations
Publisher

Abstract

We report efficient cascade up-conversion generation due to two simultaneous quasi-synchronous processes of parametric decay ω 3 →ω 1 + ω 2 of pump quanta at the frequency ω 3 and up-conversion of one of the generated waves ω 1 +ω 3 →ω 4 >ω 3 at the frequency ω 1 in a medium with a quadratic nonlinearity. It is found that the necessary condition for this generation is the requirement |γ 1 | 2 >(ω 2 /ω 1 )|γ 1 | 2 , where γ 1,2 are the averaged constants of the nonlinear coupling for the processes ω 1 +ω 2,3 →ω 3,4 , respectively. If this requirement is fulfilled, the plane monochromatic pump wave is completely depleted, while the limiting (the noise seed intensity is I 10,20 →0 at the input) efficiency of the energy conversion into radiation at the frequency ω 4 is independent of I 10,20 and determined only by the relations between |γ 1,2 | 2 and the frequencies of the interacting waves.

DOI
10.1070/qe2010v040n04abeh014271

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The search for new methods to produce entangled photons is a subject of great interest in quantum optics. We show theoretically that two_photon entangled states may be generated through a cascaded nonlinear optical process in a quasiperiodic optical superlattice. When an idler photon ωi produced from spontaneous parametric down conversion (ωp=ωs+ωi) combines with a pum p photon to produce a sum frequency photon ωb(ωb=ωi+ω p), the latter is entangled with the remaining signal photon ωi. Both a pulsed and a cw 532nm laser have been used to pump a quasi_phase matched LiTaO 3 crystal to generate simultaneously 630nm signal photons through parametric d own conversion and 460nm sum frequency photons. The advantage of this method is that entangled photons of short wavelength may be produced.
Two frequency-cascaded and spatially simultaneous three-wave-mixing processes, each pumped by a different frequency, are studied in a quasi-phase-matching crystal with chirped poling. Theory, numerical simulation, and experiment all show that efficient two-process adiabatic frequency conversion takes place over a broad range of input wavelengths. Experimentally, up to five process cascades are obtained. Furthermore, it is demonstrated that reversing the chirp sign results in a different conversion for the same input wavelength. This method can be applied to generation of an all-optically tunable frequency comb.
We consider a nondegenerate parametric process ω 3 → ω 1 + ω 2 and simultaneous sum frequency generation ω 1 + ω 3 → ω 4 and ω 2 + ω 3 → ω 5 in periodically poled quadratic crystals. An algorithm is proposed for the numerical description of the system evolution with full allowance for the quantum-mechanical interaction of all five plane monochromatic modes and pump depletion. The behaviour of the average number of photons of interacting modes and their mutual correlations is studied. An effect of inversion of the mutual correlation of the modes of the generated light is found.