Fractal universality in near-threshold magnetic lanthanide dimers
Fractal universality in near-threshold magnetic lanthanide dimers
复制标题
近阈值磁性镧系元素二聚体的分形普适性
作者：
C. Makrides;Ming Li;E. Tiesinga;S. Kotochigova
磁场可以使混沌超冷镧系原子的动力学行为离域，但仍然违反遍历性。遍历量子系统通常非常相似，而非遍历的分形系统是独特的，并显示出特征性质。我们探索这些分形系统之一，弱结合镧系镝分子，在一个外部磁场。正如最近所显示的那样，碰撞的超冷磁性镝原子显示出具有小程度无序的软混沌行为。我们通过研究大分子波函数集的广义逆参与比和分形维数来扩展这一分类。我们精确的紧密耦合模拟揭示了从部分局域态到完全非局域态的动态相变，以及将磁场强度增加到仅100高斯（或10 mT）时其分布的普遍性。最后，我们证明了系统中非遍历离域相的存在性，并通过近阈值分子态与附近连续体之间的强耦合解释了系统的遍历性违反。
Magnetic fields can delocalize the dynamic behavior of chaotic ultracold lanthanide atoms but a violation of ergodicity remains. Ergodic quantum systems are often quite alike, whereas nonergodic, fractal systems are unique and display characteristic properties. We explore one of these fractal systems, weakly bound dysprosium lanthanide molecules, in an external magnetic field. As recently shown, colliding ultracold magnetic dysprosium atoms display a soft chaotic behavior with a small degree of disorder. We broaden this classification by investigating the generalized inverse participation ratio and fractal dimensions for large sets of molecular wave functions. Our exact close-coupling simulations reveal a dynamic phase transition from partially localized states to totally delocalized states and universality in its distribution by increasing the magnetic field strength to only a hundred Gauss (or 10 mT). Finally, we prove the existence of nonergodic delocalized phase in the system and explain the violation of ergodicity by strong coupling between near-threshold molecular states and the nearby continuum.
影响因子：
12.5
作者：
Maier, T.;Kadau, H.;Kotochigova, S.
通讯作者：
Kotochigova, S.