Quantum theory of solitons in optical fibers. I. Time-dependent Hartree approximation

Yin-Chieh Lai*, H. A. Haus

*此作品的通信作者

研究成果: Article同行評審

251 引文 斯高帕斯(Scopus)

摘要

This paper is the first part of a two-part study on the quantum nonlinear Schrödinger equation [the second paper follows: Lai and Haus, Phys. Rev. A 39, 854 (1989)]. The quantum nonlinear Schrödinger equation is solved analytically and is shown to have bound-state solutions. These bound-state solutions are closely related to the soliton phenomenon. This fact has not been pursued in the literature. In this paper we use the time-dependent Hartree approximation to construct approximate bound states and then superimpose these bound states to construct soliton states. This construction enables us to study the quantum effects of soliton propagation and soliton collisions.

原文English
頁(從 - 到)844-853
頁數10
期刊Physical Review A
40
發行號2
DOIs
出版狀態Published - 1 1月 1989

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