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Журнал Экспериментальной и Теоретической Физики

SPONTANNOE PARAMETRIChESKOE RASSEYaNIE V DVUOSNYKh NELINEYNO-OPTIChESKIKh KRISTALLAKh: OSOBENNOSTI SOSTOYaNIYa POLYaRIZATsII IZLUChENIYa

Dmitry N. Frolovtsev, Sergey A Magnitskiy

Published Jan 15, 2024• 0 citations
Publisher

Abstract

A consistent analysis of the quantum state of polarization of SPDC radiation is presented and the peculiarities of the quantum state of polarization of SPDC in biaxial nonlinear optical crystals are considered. It is shown that the SPDC polarization deviation angle can exceed 15°, and the angle between the signal and idler wave vectors D can exceed 30°. Estimates of the curvature of the cone formed by SPDC radiation in biaxial crystals are also given. The influence of SPDC polarization deviation in a non-collinear mode on the entanglement of biphoton states generated by a double-crystal scheme is analyzed, it is shown that Tangle of the generated quantum state can deteriorate by 6%, and conditions are identified under which entanglement can be completely restored.

DOI
10.31857/s0044451024010048

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A consistent analysis of the quantum state of polarization of SPDC radiation is presented and the peculiarities of the quantum state of polarization of SPDC in biaxial nonlinear optical crystals are considered. It is shown that the SPDC polarization deviation angle can exceed 15°, and the angle between the signal and idler wave vectors D can exceed 30°. Estimates of the curvature of the cone formed by SPDC radiation in biaxial crystals are also given. The influence of SPDC polarization deviation in a non-collinear mode on the entanglement of biphoton states generated by a double-crystal scheme is analyzed, it is shown that Tangle of the generated quantum state can deteriorate by 6%, and conditions are identified under which entanglement can be completely restored.
We investigate theoretically the strong anisotropy in the wave packet distribution of biphoton pairs generated via spontaneous parametric down-conversion (SPDC) process with biaxial crystals. From the angle relationship in biaxial crystals, we deduce the wave function of type I SPDC by considering the longitudinal detuning under paraxial approximation. Taking BiB3O6 (BIBO) as an example, we numerically simulate the single-particle and coincidence distributions in two observation planes under the optimum phase-matching scheme. In contrast to uniaxial crystals, a stronger anisotropy effect and a higher entanglement of the photon pair states are obtained, which are attributed to the complex structure of biaxial crystals. These results are important for the generation of highly entangled biphoton pairs, especially for multi-photon pairs generation.
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A method has been proposed to improve the degree of polarization entanglement of biphotons obtained by means of a double-crystal scheme. The effect of deviation of the polarization of spontaneous parametric down-converted radiation on the degree of polarization entanglement of biphotons has been examined theoretically and experimentally. The dependence of the concurrence as a measure of entanglement on the difference between the pump phases in the nonlinear crystals of the double-crystal scheme has been studied experimentally, and the improvement of the concurrence by a factor of 2.7 has been achieved at the optimal phase difference.