Perturbation Theory for a Nonlinear Two-level System

被引：0
|
作者：
Zhang, Z. J. [1 ]
Jiang, D. G. [1 ]
Yi, X. X. [1 ]
机构：
[1] Dalian Univ Technol, Sch Phys & Optoelect Technol, Dalian 116024, Peoples R China
来源：
JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2010年 / 57卷 / 03期
关键词：
Perturbation; Nonlinear system; BOSE; ATOMS;
D O I：
10.3938/jkps.57.526
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Perturbation theory is an important tool in quantum mechanics, it can help to find solutions to the Schrodinger equation and has been proven to he a good approximation for linear quantum systems. In this paper, we examine whether the perturbation theory is available for nonlinear systems by exemplifying a nonlinear two-level system. The results show that the ratio (r) of the nonlinear rate C to the tunneling coefficient V determines the validity of the perturbation theory. For small ratio r, the perturbation theory is available; otherwise, it yields wrong results.
引用
收藏
页码：526 / 531
页数：6
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