Pump Depletion in Parametric Amplification
Wanli Xing, T.C.Ralph

TL;DR
This paper derives analytic solutions for the Heisenberg evolution in parametric amplification that include pump depletion effects, enabling more accurate modeling of experimental scenarios and revealing new phenomena.
Contribution
It provides second-order accurate solutions valid for all pump amplitudes, incorporating pump depletion into the analysis of parametric amplification.
Findings
Analytic solutions incorporating pump depletion
Validity for all pump amplitudes
Rigorous description of new phenomena
Abstract
We derive analytic solutions for Heisenberg evolution under the trilinear parametric Hamiltonian which are correct to second order in the interaction strength but are valid for all pump amplitudes. The solutions allow pump depletion effects to be incorporated in the description of parametric amplification in experimentally relevant scenarios and the resulting new phenomena to be rigorously described.
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Taxonomy
TopicsSpectroscopy and Quantum Chemical Studies · Advanced Thermodynamics and Statistical Mechanics · Quantum many-body systems
