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arXiv 1002.2874cond-mat.mes-hallcond-mat.other
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极化激元凝聚中的定态关联和含时关联

Stationary and time dependent correlations in polariton condensates

Paolo Schwendimann, Antonio Quattropani, Davide Sarchi

摘要:

用维格纳函数描述了凝聚态极化激元的统计特性。在截断维格纳方法的框架下,维格纳函数服从福克-普朗克方程,该方程可以解析求解。在稳态的二阶相关性与从主方程的数值解获得的那些非常一致,并显示出定性的,远高于阈值,也与最近的实验定量协议。此外,明确定义了影响极化激元基态统计的不同噪声效应的贡献。利用随机过程的Fokker-Planck描述和Langevin描述之间的等价性,导出了接近定态的极化激元的含时关联。得到了线宽和极化激元强度弛豫率的显式表达式,其值与实验值在同一数量级。最后讨论了截断Wigner方法在本模型中的有效性极限。

英文摘要:

The statistics of the condensed polaritons is described in terms of the Wigner function. In the framework of the truncated Wigner method, the Wigner function obeys a Fokker- Planck equation, which is solved analytically. The second order correlations in the stationary state are in excellent agreement with those obtained from the numerical solution of the master equation and show a qualitative and, well above threshold, also quantitative agreement with recent experiments. Furthermore, the contributions of the different noise effects that influence the polariton ground state statistics are explicitly defined. Exploiting the equivalence between Fokker-Planck and Langevin descriptions of stochastic processes, the time dependent correlations of the polaritons close to the stationary state are derived. Explicit expressions for the linewidth and for the relaxation rate of the polariton intensity are obtained, whose values are of the same order of magnitude of the experimental data. Finally, the limit of validity of the truncated Wigner method in the present model is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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