Pump Depletion in Parametric Amplification

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.

References in corpus (5)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Coherence properties of high-gain twin beams generated in pump-depletion regime
• Pump depletion in parametric down-conversion with low pump energies
• Onset of non-Gaussian quantum physics in pulsed squeezing with mesoscopic fields
• Phase effects in coherently-stimulated down-conversion with a quantized pump field

Cited by in corpus (8)

• Non-perturbative theory of spontaneous parametric down-conversion in open and dispersive optical systems
• Parametric approximation as open quantum systems problem
• Exact solution for a class of quantum models of interacting bosons
• Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
• Isoenergetic model for optical downconversion and error-specific limits of the parametric approximation
• Environment-assisted squeezing in a coherently driven non-Hermitian degenerate parametric oscillator
• Exact State Evolution and Energy Spectrum in Solvable Bosonic Models
• Practical Limits on Integrated Squeezers