2020/11/23 by Andrei Rasputnyi, A. V. Rasputnyi, D. A. Kopylov +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Chemistry #Degenerate energy levels #Energy conversion efficiency #Laser #Laser-Matter Interactions and Applications #Mathematics #Nonlinear system #Optics #Optoelectronics #Parametric oscillator #Parametric statistics #Phase matching #Physics #Quadrature (astronomy) #Quantum #Quantum entanglement #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Spontaneous parametric down-conversion #Statistical physics #Transformation (genetics) #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.104.013702
published as Phys. Rev. A 104, 013702 (2021)
arxiv created 2020/11/23 · openalex publication_date 2021/07/02 · arxiv updated 2021/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum cascaded up-conversion (CUpC) of parametric down conversion (PDC) in a finite nonlinear \ensuremathχ(2) crystal is studied theoretically within parametric approximation. The exact solution for creation and annihilation operators presented in the form of Bogoliubov transformation is valid for the high-gain regime and explicitly includes the nonzero wave-vector mismatch both for PDC and CUpC. Characteristic equation is used to analyze parametric amplification and oscillating regimes for degenerate, three- and four-mode cases. We show that the parametric amplification exists under the fulfillment of the cascaded phase-matching conditions while both the PDC and CUpC processes are separately non-phase-matched. The influence of CUpC on quadrature squeezing of degenerate PDC is estimated.