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

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Tobias Lipfert ◽  
Dmitri B. Horoshko ◽  
Giuseppe Patera ◽  
Mikhail I. Kolobov
Keyword(s):  
Magnus Expansion ◽  
Parametric Down Conversion ◽  
Down Conversion

scholarly journals Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump: role of the gain

2019 ◽  
Vol 198 ◽  
pp. 00006
Author(s):  
Tobias Lipfert ◽  
Dmitri Horoshko ◽  
Giuseppe Patera ◽  
Mikhail Kolobov
Keyword(s):  
Exact Solution ◽  
Phase Mismatch ◽  
Type I ◽  
Magnus Expansion ◽  
Magnus Series ◽  
Parametric Down Conversion ◽  
Field Transformation ◽  
Down Conversion ◽  
Mismatch Angle

We consider the effect of different orders of Magnus expansion for the field transformation in type-I parametric down-conversion with a monochromatic pump. The exact solution, existing in this case, allows us to analyze the convergence of the Magnus expansion for the spectrum of squeezing and the angle of squeezing. We demonstrate how the convergence of the Magnus series depends on the parametric gain for various values of the phase mismatch. For each phase-mismatch angle we find the gain, which is the exact upper bound for the convergence of the Magnus series.

Generation of Optical—Terahertz Biphotons and Detection of Their Terahertz Component under Frequency-Nondegenerate Parametric Down-Conversion

JETP Letters ◽  
2020 ◽  
Vol 112 (5) ◽  
pp. 269-273
Author(s):  
V. D. Sultanov ◽  
K. A. Kuznetsov ◽  
A. A. Leontyev ◽  
G. Kh. Kitaeva
Keyword(s):  
Parametric Down Conversion ◽  
Down Conversion

scholarly journals Coherently controlled quantum features in a coupled interferometric scheme

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Byoung S. Ham
Keyword(s):  
Optical Materials ◽  
Bell Inequality ◽  
Third Order ◽  
Deterministic Method ◽  
Photon Pairs ◽  
Wave Nature ◽  
Parametric Down Conversion ◽  
Pair Generation ◽  
Entangled Photon Pairs ◽  
Down Conversion

AbstractOver the last several decades, entangled photon pairs generated by spontaneous parametric down conversion processes in both second-order and third-order nonlinear optical materials have been intensively studied for various quantum features such as Bell inequality violation and anticorrelation. In an interferometric scheme, anticorrelation results from photon bunching based on randomness when entangled photon pairs coincidently impinge on a beam splitter. Compared with post-measurement-based probabilistic confirmation, a coherence version has been recently proposed using the wave nature of photons. Here, the origin of quantum features in a coupled interferometric scheme is investigated using pure coherence optics. In addition, a deterministic method of entangled photon-pair generation is proposed for on-demand coherence control of quantum processing.

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