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Parametric down-conversion beyond the semiclassical approximation
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DOI：10.1103/PhysRevResearch.2.033398.png)
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Abstract
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Using a perturbative approach, we investigate the parametric down-conversion process without the semiclassical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the particle-number degrees of freedom is used to perform the analysis. First, we derive an evolution equation for the down-conversion process in the nonlinear medium. Then we use the perturbative approach to solve the equation. The leading order contribution is equivalent to the semiclassical solution. The next-to-leading order contribution provides a solution that includes the evolution of the pump field as a quantum field.
Keywords:
BRIGHT SQUEEZED VACUUM
ANGULAR-MOMENTUM
LIGHT-BEAMS
QUANTUM
ENTANGLEMENT
STATES
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