On the parametric approximation in quantum optics
G. M. D'Ariano, M. G. A. Paris, M. F. Sacchi
TL;DR
This paper investigates the validity of the parametric approximation in quantum optics by performing exact numerical diagonalization of amplifier Hamiltonians and identifying key conditions for approximation accuracy.
Contribution
It provides a detailed analysis of when the parametric approximation is valid, emphasizing pump coherence over undepletion as the critical factor.
Findings
Exact diagonalization of amplifier Hamiltonians performed
Coherence of the pump is crucial for the approximation's validity
Undepletion of the pump is less critical than previously thought
Abstract
We perform the exact numerical diagonalization of the Hamiltonians that describe both degenerate and nondegenerate parametric amplifiers, by exploiting the conservation laws pertaining each device. We clarify the conditions under which the parametric approximation holds, showing that the most relevant requirement is the coherence of the pump after the interaction, rather than its undepletion.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum optics and atomic interactions · Laser-Matter Interactions and Applications