Broadband bright twin beams and their upconversion

Chekhova, Maria V.; Germanskiy, Semyon; Horoshko, D. B.; Китаева, Г. Х.; Kolobov, Mikhail I.; Leuchs, Gerd; Phillips, Colin R.; Prudkovskii, P. A.

doi:10.1364/ol.43.000375

Cited by 36 publications

(25 citation statements)

References 35 publications

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“…A deviation from the linear dependence can be observed as difference of the parametric gain for non-zero phase mismatch from the behavior given by µ sinh(νE p ), where E p is the pump amplitude, and µ and ν are some fitting parameters. Let us mention here that for aperiodically poled crystals this dependence is different even below the ultra-high-gain regime, and has been recently observed in the experiment [27].…”

Section: H Dependence On the Gain Exponent Gsupporting

confidence: 50%

Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump

et al. 2018

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We discuss the Bloch-Messiah decomposition for the broadband squeezed light generated by type-I parametric down-conversion with monochromatic pump. Using an exact solution for this process, we evaluate the squeezing parameters and the corresponding squeezing eigenmodes. Next, we consider the Magnus expansion of the quantum-mechanical evolution operator for this process and obtain its first three approximation orders. Using these approximated solutions, we evaluate the corresponding approximations for the Bloch-Messiah decomposition. Our results allow us to conclude that the first-order approximation of the Magnus expansion is sufficient for description of the broadband squeezed light for squeezing values below 12.5 dB. For higher degrees of squeezing we show fast convergence of the Magnus series providing a good approximation for the exact solution already in the third order. We propose a quantitative criterion for this ultra-high-gain regime of parametric down-conversion when the higher-orders terms of the Magnus expansion, known in the literature as the operator-ordering effects, become necessary. arXiv:1806.09384v1 [quant-ph]

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Section: H Dependence On the Gain Exponent Gsupporting

confidence: 50%

Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump

et al. 2018

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“…The considered example corresponds to rather narrowband twin beams discriminated by frequency. It would be interesting to apply the developed formalism to ultrabroadband fields with almost constant spectrum, for example, those generated in aperiodically poled crystals [54][55][56][57]. In the narrowband regime a full treatment of 3D spatio-temporal modes is possible in the framework of complex analytic modeling developed here.…”

Section: Discussionmentioning

confidence: 99%

“…It has been applied to the pump in Eq. (57). Applying it to the downconverted light results in limiting the Taylor series of the phase mismatch function ∆(Ω 1 , Ω 2 ) = k p (Ω 1 + Ω 2 ) − k(Ω 1 ) − k(Ω 2 ) to the terms up to the second order in both frequencies:…”

Section: B Nondegenerate Phase Matching: Analytic Gaussian Modelingmentioning

confidence: 99%

Bloch-Messiah reduction for twin beams of light

et al. 2019

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We study the Bloch-Messiah reduction of parametric downconversion of light in the pulsed regime with a nondegenerate phase matching providing generation of twin beams. We find that in this case every squeezing eigenvalue has multiplicity at least two. We discuss the problem of ambiguity in the definition of the squeezing eigenmodes in this case and develop two approaches to unique determination of the latter. First, we show that the modal functions of the squeezing eigenmodes can be tailored from the Schmidt modes of the signal and idler beams. Alternatively, they can be found as a solution of an eigenvalue problem for an associated Hermitian squeezing matrix. We illustrate the developed theory by an example of frequency non-degenerate collinear twin beams generated in beta barium borate crystal. On this example we demonstrate how the squeezing eigenmodes can be approximated analytically on the basis of the Mehler's formula, extended to complex kernels. We show how the multiplicity of the eigenvalues and the structure of the eigenmodes are changed when the phase matching approaches the degeneracy in frequency. arXiv:1903.06578v2 [quant-ph]

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“…Our results show that even without phase matching a pronounced narrowband coherent contribution and a broad incoherent contribution can be observed. Moreover, focusing near the surface of a nonlinear crystal suppresses the Maker fringes, which offers a possibility to use SFG as not just a broadband, but a wavelength-independent autocorrelator [35]. This type of autocorrelator will have an advantage over the one based on two-photon absorption (TPA) in semiconductors [36,37].…”

Section: Resultsmentioning

confidence: 99%

Study of broadband multimode light via non-phase-matched sum frequency generation

et al. 2019

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We propose non-phase-matched sum frequency generation (SFG) as a method for characterizing broadband multimode light. Both the central wavelength and the bandwidth are in this case not limited by the phase matching condition. As an example, we consider bright squeezed vacuum (BSV) generated through high-gain parametric down conversion (PDC). In the spectrum of SFG from BSV, we observe the coherent peak and the incoherent background. We show that the ratio of their widths is equal to the number of frequency modes in BSV, which in the case of low-gain PDC gives the degree of frequency entanglement for photon pairs. By generating the sum frequency in the near-surface region of a nonlinear crystal, we increase the SFG efficiency and get rid of the modulation caused by chromatic dispersion, known as Maker fringes. This allows one to use non-phasematched SFG as a wavelength-independent autocorrelator. Furthermore, we demonstrate efficient non-phase-matched three-and four-frequency summation of broadband multimode light, hardly possible under phase matching. We show that the latter contains the coherent peak while the former does not.

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Broadband bright twin beams and their upconversion

Cited by 36 publications

References 35 publications

Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump

Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump

Bloch-Messiah reduction for twin beams of light

Study of broadband multimode light via non-phase-matched sum frequency generation

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