Y $_2$ SiO $_5$中铒的超超精细诱导光子回波崩塌
Superhyperfine induced photon-echo collapse of erbium in Y$_2$SiO$_5$
摘要：
利用光子回波技术研究了低磁场下Er $^{3+}$在Y $_2$ SiO $_5$中的退相干。我们准确地再现了各种衰减曲线与一个独特的相干时间，通过考虑所谓的superhyperfine调制引起的大量相邻的自旋。不需要调用自旋涨落的任何特征时间来再现非常不同的衰变曲线。当磁场降低时，所涉及的原子核的数量增加。实验进行了比较与模型相关联的100个周围的离子与他们的确切位置在晶体框架。我们还推导出一个近似的球模型（角平均）来解释所观察到的衰减曲线接近零场的主要特征。
英文摘要：
We investigate the decoherence of Er$^{3+}$ in Y$_2$SiO$_5$ at low magnetic fields using the photon-echo technique. We reproduce accurately a variety of the decay curves with a unique coherence time by considering the so-called superhyperfine modulation induced by a large number of neighbouring spins. There is no need to invoke any characteristic time of the spin fluctuations to reproduce very different decay curves. The number of involved nuclei increases when the magnetic is lowered. The experiment is compared with a model associating 100 surrounding ions with their exact positions in the crystal frame. We also derive an approximate spherical model (angular averaging) to interpret the main feature the observed decay curves close to zero-field.
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