Quantum spatial dynamics of high-gain parametric down-conversion accompanied by cascaded up-conversion

• URL: http://arxiv.org/abs/2011.11505v1
• Date: Mon, 23 Nov 2020 16:09:29 GMT
• Title: Quantum spatial dynamics of high-gain parametric down-conversion accompanied by cascaded up-conversion
• Authors: A.V. Rasputnyi and D.A. Kopylov
• Abstract summary: We show that the parametric amplification exists under the fulfilment of the cascaded phase-matching conditions. The influence of CUpC on degenerate quadrature squeezing of PDC is estimated.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum cascaded up-conversion (CUpC) of parametric down conversion (PDC) in a finite nonlinear $\chi^{(2)}$-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 non-zero wavevector-mismatch both for the PDC and CUpC. With the use of characteristic equation parametric amplification and oscillating regimes are analysed for degenerate, three- and four-mode cases. We show that the parametric amplification exists under the fulfilment 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.

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