周期踢击无公度光学喇曼晶格的迁移率边和临界区
Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
摘要：
迁移率边是理解安德森局域化跃迁的中心概念。临界态是非定域的、非遍历的，是不同于扩展态和定域态的第三种基本态。本文利用分形维数研究了一维周期性受踢准周期光学喇曼晶格中的局域化现象。我们显示了丰富的相图，包括纯扩展，临界和本地化阶段的高频制度，ME分离的临界区域从扩展（本地化）区域，和共存的阶段的扩展，临界和本地化区域增加踢周期。我们还发现了相边界的脆弱性，这是更容易受到动力学踢，和重入局域化转变的现象。最后，我们展示了如何研究模型可以实现基于当前的冷原子实验和如何检测丰富的物理膨胀动力学。我们的研究结果为研究和探测周期性受激系统中的新临界相、ME、共存量子相以及其他物理现象提供了参考。
英文摘要：
Conventionally the mobility edge (ME) separating extended states from localized ones is a central concept in understanding Anderson localization transition. The critical state, being delocalized and non-ergodic, is a third type of fundamental state that is different from both the extended and localized states. Here we study the localization phenomena in a one dimensional periodically kicked quasiperiodic optical Raman lattice by using fractal dimensions. We show a rich phase diagram including the pure extended, critical and localized phases in the high frequency regime, the MEs separating the critical regions from the extended (localized) regions, and the coexisting phase of extended, critical and localized regions with increasing the kicked period. We also find the fragility of phase boundaries, which are more susceptible to the dynamical kick, and the phenomenon of the reentrant localization transition. Finally, we demonstrate how the studied model can be realized based on current cold atom experiments and how to detect the rich physics by the expansion dynamics. Our results provide insight into studying and detecting the novel critical phases, MEs, coexisting quantum phases, and some other physics phenomena in the periodically kicked systems.
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