非線性光脈衝傳播的一般性量子理論

Abstract

利用線性化近似和交換算子守恆，我們發展了一個一般性的，自我一致的 方法來量子化非線性光脈衝傳播的問題。基於偶伴系統的概念，我們亦發 展了一套計算量子噪音的一般性的方法（逆向傳播法）。本論文研究的主 題包括 self-Raman 效應和三階色散對於在光纖中產生脈衝量子壓縮態的 影響以及在光纖中利用光固子碰撞做量子非破壞性偵測的分析。 Based on the linearization approximation and the conservation of commutationbrackets, we develop a general, self-consistent way to quantize a nonlinearoptical-pulse propagation problems. Based on the concept of the adjoint system,we also develop a general computation procedure (the backpropagation method)to calculate the quantum uncertainties of the inner product between any givenfunction and the (perturbed) field operator. The investigation includesthe study of the impacts of the self-Raman effect and third-order disperdionon pulsed-squeezed state generation using optical fibers and the quantum-nondemolition measurement of the photon number using soliton collisions in optical fibers.