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Communication Dans Un Congrès Année : 2019

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

Résumé

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.

Dates et versions

hal-04537239 , version 1 (08-04-2024)

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Tobias Lipfert, Dmitri Horoshko, Giuseppe Patera, Mikhail Kolobov. Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump: role of the gain. QUANTUM TECHNOLOGY INTERNATIONAL CONFERENCE 2018 (QTECH 2018), 2019, Paris, France. ⟨10.1051/epjconf/201919800006⟩. ⟨hal-04537239⟩
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