光学喇曼晶格中非遍历临界相位的实现与检测
Realization and detection of non-ergodic critical phases in optical Raman lattice
摘要：
临界相是一种非定域但非遍历的基本相，它不同于多体局域化和遍历的扩展量子相，迄今尚未在实验中实现。在这里，我们建议实现这样的关键阶段，没有相互作用的基础上的拓扑光学拉曼晶格计划，它具有一维自旋轨道耦合和无公度塞曼势。我们证明了非相互作用和多体临界相的存在，它们可以与拓扑相共存，并表明临界局域化转变与非相互作用区域的拓扑相边界相吻合。提出并研究了临界相的动态检测方法。最后，我们展示了如何建议的临界相位可以实现基于当前的冷原子实验。这项工作为观察新的临界相铺平了道路。
英文摘要：
The critical phases, being delocalized but non-ergodic, are fundamental phases which are different from both the many-body localization and ergodic extended quantum phases, and have so far not been realized in experiment. Here we propose to realize such critical phases with and without interaction based on a topological optical Raman lattice scheme, which possesses one-dimensional spin-orbit coupling and an incommensurate Zeeman potential. We demonstrate the existence of both the noninteracting and many-body critical phases, which can coexist with the topological phase, and show that the critical-localization transition coincides with the topological phase boundary in noninteracting regime. The dynamical detection of the critical phases is proposed and studied in detail. Finally, we demonstrate how the proposed critical phases can be achieved based on the current cold atom experiments. This work paves the way to observe the novel critical phases.
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