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IEEE Journal of Quantum Electronics

Quantum theory analysis of twin-photon beams generated by parametric fluorescence

Toshiaki Suhara, Hiroki Kintaka

Published Aug 16, 2005• 22 citations
Publisher

Abstract

Integrated nonlinear optic devices for generation of twin photon beams are expected to be a key device for the development of quantum information techniques. This paper presents a systematic quantum theory analysis on generation of twin photons by parametric fluorescence and properties of the twin photon beams. The analysis uses multimode-pair description including phase mismatched cases. Full description of the quantum states of the twin photon beams is obtained. Mathematical expressions for photon numbers, photon beam powers, efficiency, wavelength bandwidth, and photon correlation are deduced. Numerical data are given for several types degenerate and nondegenerate quasi-phase matched LiNbO/sub 3/ waveguide twin-photon generation devices.

DOI
10.1109/jqe.2005.852987

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IEEE Photonics Technology Letters•Jun 28, 2007•38 citations
Integrated nonlinear optic devices for generation of twin photon beams are expected to be a key device for the development of quantum information techniques. This paper presents a systematic quantum theory analysis on generation of twin photons by parametric fluorescence and properties of the twin photon beams. The analysis uses multimode-pair description including phase mismatched cases. Full description of the quantum states of the twin photon beams is obtained. Mathematical expressions for photon numbers, photon beam powers, efficiency, wavelength bandwidth, and photon correlation are deduced. Numerical data are given for several types degenerate and nondegenerate quasi-phase matched LiNbO/sub 3/ waveguide twin-photon generation devices.
Integrated nonlinear optical devices for the generation of twin photon beams are expected to be a key element for the development of quantum information techniques. This paper presents a quantum theory analysis of counterpropagating twin photon generation (CPTPG) by spontaneous parametric downconversion. Full descriptions of the quantum states of the twin photon beams having unique features are obtained in the Heisenberg and Schrödinger pictures. Mathematical expressions useful for device design and quantitative prediction of the performances, such as efficiency, wavelength spectrum and bandwidth, and photon correlation time, are deduced. Numerical data are given for specific quasi-phase-matchedLiNbO3{\rm LiNbO}_{\bf 3}LiNbO3​waveguide CPTPG devices.
Integrated nonlinear-optic (NLO) devices for generation of twin-photon beams are a key device for quantum information techniques. This paper presents a quantum theory analysis on the effect of optical losses in twin-photon generation. The analysis uses a multi-mode-pair description, and is based upon unitary transformations of amplitude operators and state vectors for describing the NLO and loss phenomena in infinitesimal sections in the interaction range. Full description of the quantum states of the twin-photon beams affected by the losses is obtained. Mathematical expressions useful for prediction of the performances degradation are deduced
Abstract This paper reviews the quasi‐phase‐matched (QPM) waveguide nonlinear‐optic device technologies for generation of quantum‐entangled twin photons indispensable for quantum‐information techniques. After a brief introduction to the concept of entanglement, quantum theory analysis of twin‐photon generation (TPG) is outlined to clarify the properties of twin photons. Then, methods for entangled‐photon generation are discussed. Practical design and theoretical performances of LiNbO3 waveguide QPM TPG devices, as well as the fabrication techniques, are described. Finally, experimental demonstrations of polarization‐entangled twin‐photon generation by waveguide Type‐I and Type‐II QPM TPG devices are presented.
Quantum-entangled twin photons are expected to play an important role in future quantum communications and information processing. We propose and demonstrate a Type-I quasi-phase-matched (QPM) nonlinear-optic (NLO) LiNbO3waveguide device for high-efficiency polarization-entangled twin photon generation. The device consists of a Ti:LiNbO3channel waveguide, a ferroelectric domain-inverted grating for Type-I QPM, and a thin-film half-wave plate for polarization conversion at the center of the NLO interaction region. Generation of polarization-entangled twin-photons is demonstrated through quantum interference experiment.