Quantum entanglement by a beam splitter analogous to laser mode transformation by a cylindrical lens

Chen, Y. F.; Hsieh, M. X.; Ke, H. T.; Yu, Yi‐Tao; Liang, H. C.; Huang, Kai–Feng

doi:10.1364/ol.439322

Cited by 7 publications

(7 citation statements)

References 26 publications

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“…It is usually considered that the main characteristics of a waveguide BS are the reflection coefficients R and transmission coefficients T, which are constant values. This means that by setting these parameters one can always obtain the required characteristics at the output ports of the BS [3,8,11,[14][15][16][17]. Previously, the results obtained did not qualitatively depend on the size of the BS, although the fact of a qualitative change in the properties of photons at the output ports of the BS depending on the dimensions of the BS (more precisely, the coupling region in the BS, see Figure 1) is quite obvious.…”

Section: Introductionmentioning

confidence: 85%

Nanoscale Waveguide Beam Splitter in Quantum Technologies

et al. 2022

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Usually in quantum optics, the theory of large- and small-scale waveguide beam splitters is the same. In this paper, it is shown that the theory of the nanoscale waveguide beamsplitter has a significant difference from a similar device, but of a larger scale. It is shown that the previously known theory of the waveguide beam splitter is a particular case of the theory presented here. The wave function at the output ports of the nanoscale beam splitter is analyzed. The results obtained are sensitive to the size of the beam splitter, the coupling parameter of the two waveguides, and the degree of nonmonochromaticity of the photons entering the first and second ports of the beam splitter. The results are important for quantum technologies using a nanosized beam splitter.

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Section: Introductionmentioning

confidence: 85%

Nanoscale Waveguide Beam Splitter in Quantum Technologies

et al. 2022

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“…Quantum entanglement on "conventional" BS is quite well studied and presented in various works, see eg [13,20,21,[43][44][45][46]. Let us present here the simplest derivation of the quantum entanglement of the two-mode electromagnetic field on BS.…”

Section: Quantum Entanglement On a "Conventional" Beam Splittermentioning

confidence: 99%

“…( 45), the φ(ω 1 , ω 2 ) function will be factorized, which corresponds to Fock states. Substituting ( 45) into (43) we obtain [17,24,25]…”

mentioning

confidence: 99%

Theory for the beam splitter in quantum optics: quantum entanglement of photons and their statistics, HOM effect

Makarov¹

2022

Preprint

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The theory of the beam splitter (BS) in quantum optics is well developed and based on fairly simple mathematical and physical foundations. This theory has been developed for any type of BS and is based on the constancy of the reflection coefficients R (or the transmission coefficient, where R + T = 1) and the phase shift φ. It has recently been shown that the constancy of these coefficients cannot always be satisfied for a waveguide BS, where R and φ depend in a special way on photon frequencies. Based on this, this review systematizes the concept of BS in quantum optics into "Conventional" and frequency-dependent BS, and also presents the theory of such BS. It is shown that the quantum entanglement, photon statistics at the output ports, and the Hong-Ou-Mandel (HOM) effect for such BS can be very different. Taking into account the fact that the waveguide BS is currently acquiring an important role in quantum technologies due to the possibility of its miniaturization, this review will be useful not only for theoreticians, but also for experimenters.

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“…Researchers found that due to the low diffraction limit, the vortex beam could replace the trivial Gaussian beam to improve the resolution of imaging, e.g., stimulated emission depletion, which can be of great use to biological and clinical medicine research [24]. Other recent applications in 2021 point to high-dimension OAMentanglement, and phase-gradient protection was also reported [25][26][27][28]. Many other exciting applications with regard to optical vortices are yet to be found.…”

Section: Introductionmentioning

confidence: 99%

Recent Progress in Nonlinear Frequency Conversion of Optical Vortex Lasers

Liu

Duan

et al. 2022

Front. Phys.

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Optical vortices are optical fields that possess a helical phase and orbital angular momentum, which have found the application in micromanipulation, optical communication, orbital angular momentum entanglement, super-resolution imaging, metrology, etc. The urgent need for the wide spreading applications of vortex lasers is to increase the wavelength versatility. In this study, the nonlinear frequency conversion of vortex lasers with a focus on sum frequency generation stimulated Raman scattering, and optical parametric oscillators were meticulously reviewed. The characteristics of the topological charge transfer and output beam profiles of different frequency conversion were discussed. As the precise tuning of optical fields in both temporal and spatial domains shall be the trend of future studies, it is our hope that this review shall serve as a reference for future research. Combining these techniques with the streaming methods to produce optical vortices, i.e., annular pump, off-axis pump, reflection mirror with defect spots, spherical aberration, and birefringence, it is advisable to expand the wavelength and fill the wavelength gap in the ultraviolet, visible, and infrared bands.

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Quantum entanglement by a beam splitter analogous to laser mode transformation by a cylindrical lens

Cited by 7 publications

References 26 publications

Nanoscale Waveguide Beam Splitter in Quantum Technologies

Nanoscale Waveguide Beam Splitter in Quantum Technologies

Theory for the beam splitter in quantum optics: quantum entanglement of photons and their statistics, HOM effect

Recent Progress in Nonlinear Frequency Conversion of Optical Vortex Lasers

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