发表机构
Jan Kochanowski University; J.W. Goethe University（扬·科哈诺夫斯基大学; 约翰·沃尔夫冈·冯·歌德大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过对比量子衰变预测与替代模型，利用赤藓红B和曙红Y的荧光实验数据，发现统计和能量迁移模型无法重现量子力学预期的指数到幂律的急剧转变。
AI 中文摘要
在量子力学中，不稳定系统的性质与其相应的能量分布密切相关。该理论的一个预测是不稳定态存活概率$P(t)$中晚期幂律的出现。然而，在复杂系统中，类似效应可能源于其他现象。这适用于非广延统计模型、某些连续寿命分布模型，以及某些应用于荧光的能量迁移模型。在本工作中，这些替代解释与使用赤藓红B和曙红Y作为荧光团的时间分辨荧光光谱实验数据进行了对比。结果表明，量子力学描述中预期的一些特征，如从指数衰减到幂律区域的急剧转变，无法通过分析中拟合的特定统计和能量迁移参数化来重现。
英文摘要
In quantum mechanics, the properties of an unstable system are closely related to its corresponding energy distribution. One of the predictions of the theory is the emergence of a late-time power law in the survival probability $P(t)$ of the unstable state. However, in complex systems, similar effects may emerge due to other phenomena. This is the case for nonextensive statistical models, for some continuous lifetime distribution models, and also for certain energy-migration models applied to fluorescence. In this work, these alternative interpretations are confronted with data from time-resolved fluorescence spectroscopy experiments with erythrosine B and eosine Y as fluorophores. It turns out that some of the features expected within the quantum-mechanical description, such as the sharp transition from the exponential to the power-law regime, cannot be reproduced by the specific statistical and energy-migration parametrizations fitted in the analysis.
Comments9 pages, 2 figures
