光晶格中硬核玻色子局域化现象的动力学
Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
摘要：
我们研究了超冷玻色子在具有无序势的光晶格中的行为。无序的统计与次级粒子的物理状态有关。由此产生的随机势，虽然显示代数相关性，被发现导致所有单粒子状态的本地化。然后，我们调查的实时动力学本地化的硬核气体的移动玻色子突然相互作用的随机势。无论初始状态如何，对于任意的无序强度，可移动粒子都能达到一个稳定状态，其特征是非对角关联指数衰减，并且没有准凝聚;当移动粒子最初被限制在紧阱中然后被释放到无序势中时，它们的膨胀停止并且稳态在实空间中指数地局域化，清楚地揭示了安德森局域化。
英文摘要：
We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the secondary species is prepared. The resulting random potential, albeit displaying algebraic correlations, is found to lead to localization of all single-particle states. We then investigate the real-time dynamics of localization for a hardcore gas of mobile bosons which are brought into sudden interaction with the random potential. Regardless of their initial state and for any disorder strength, the mobile particles are found to reach a steady state characterized by exponentially decaying off-diagonal correlations and by the absence of quasi-condensation; when the mobile particles are initially confined in a tight trap and then released in the disorder potential, their expansion is stopped and the steady state is exponentially localized in real space, clearly revealing Anderson localization.
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