| 卢道明.外场驱动下扩散过程中密度矩阵主方程的求解和应用[J].光电子激光,2017,28(7):803~807 |
| 外场驱动下扩散过程中密度矩阵主方程的求解和应用 |
| Solution and application of the master equation of density operators describing the single-mode cavity driven by an oscillating external field in diffusion pro cess |
| 投稿时间：2016-11-22 |
| DOI： |
| 中文关键词: 量子光学 外场驱动 扩散过程 主方程的解 |
| 英文关键词:quantum optics oscillating external field driving diffusion p rocess solution of master equation |
| 基金项目:福建省自然科学基金(2015J01020)资助项目 (武夷学院 机电工程学院,福建 武夷山 354300) |
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| 中文摘要: |
| 利用热纠缠态表象方法和有序算符积分技术,求 解了单模腔在振荡外场驱动下扩散过程中的 密度矩阵主方程。基于实模算符和虚模算符作用在热纠缠态上的等效关系,将密度矩阵主方 程转化为态矢 演化方程,给出了其形式解。进一步,导出了密度矩阵用Kraus算符无限和表示的解析解。 证明了Klaus 算符满足归一化条件。作为解的应用,计算了相干态和真空态在该模型中密度矩阵的演化。 计算结果表明:相干态和真空态在振荡外场驱动下扩散过程中都将演化为热场。 |
| 英文摘要: |
| The master equations of density operators describing the single-mode cavity driven by an oscillating external field in diffusion process can be concisely solved by th e thermo entangled state representation and the technique of integration within an ordere d product of operators.Based on the corresponding relation between the real mode operators an d fictitious mode operators acting on the thermo entangled state,the master equations of density operator can be converted into the evolution equation of the state vector,and the forma l solution can be easily obtained.Further,we deduce the analytical evolution formula for the density op erator in the infinitive Klaus operator-sum representation in this model.In addition,two mu tually Hermite conjugate Klaus operators are proved to satisfy the normalization condition.As an application of Klaus operator-sum solution,we investigate the evolutions of an initial coherent state and an initial vacuum state in this model.The results show that the coherent state a nd the vacuum state both evolve to thermal fields. |
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