The exact solution of the eigenproblem for the parametric down conversion process in the Kerr medium
Goce Chadzitaskos, Maciej Horowski, Anatol Odzijewicz, Agnieszka, Tereszkiewicz
TL;DR
This paper provides an exact solution to the eigenproblem for a Hamiltonian describing parametric down conversion in a Kerr medium, enabling precise analysis of the system's physical properties.
Contribution
It introduces an exact analytical solution for the eigenproblem in a specific nonlinear optical system, advancing theoretical understanding.
Findings
Calculated physical characteristics of the system.
Provided exact eigenvalues and eigenstates.
Enhanced theoretical framework for Kerr medium interactions.
Abstract
The eigenproblem for a class of Hamiltonians of the parametric down conversion process in the Kerr medium is solved. Some physical characteristics of the system are calculated.
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