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非Jaynes-Cummings模型下二能级系统随时间演化问题的研究
引用本文:易征,汪克林,秦敢.非Jaynes-Cummings模型下二能级系统随时间演化问题的研究[J].中国科学技术大学学报,2004,34(3):321-327.
作者姓名:易征  汪克林  秦敢
作者单位:中国科学技术大学近代物理系,合肥,230026
基金项目:SupportedbyNSFC (No .10 2 310 5 0 )
摘    要:应用相干态近似方法研究了与单模玻色子耦合的二能级系统 ,计算了该系统下的能量占有几率Pi(t) ,并且在各种不同的条件下与Jaynes Cummings模型计算出的结果进行了比较 .通过比较得出 :当J C模型已经不再适合的条件下 ,相干态近似方法仍可以用于处理二能级系统 .当考虑到占有几率Pi(t)的微分效应时 ,相干近似方法能够提供更好的近似结果 .相干态近似方法是一种非微扰的非变分的近似方法 ,可以通过提高近似的阶次来满足对数据精度的要求

关 键 词:二能级系统  Jaynes-Cummings模型  相干近似方法

A Two-state System With Evolving Process Beyond Jaynes-Cummings Model
Abstract.A Two-state System With Evolving Process Beyond Jaynes-Cummings Model[J].Journal of University of Science and Technology of China,2004,34(3):321-327.
Authors:Abstract
Abstract:The two-level system interacting with a single-mode boson is studied using the method of coherent approximation. We calculated the occupation probability P i(t) of the system, and compare it with the results of Jaynes-Cummings model under different situations. The results show that this method can be used to deal with the problems when J-C model is not valid. CA(coherent approximation) method can provide better approximate results when the differential physical effect of P i(t) is considered. CA is a non-variational and non-perturbational method that provides a systematic scheme to improve the approximation of the system.
Keywords:two-state system  coherent approximation  J-C Model
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