微腔阵列中具有准平带的脆弱拓扑晶格的简单实现
Simple realization of a fragile topological lattice with quasi flat-bands in a microcavity array
AI总结：
本文基于拓扑量子化学设计耦合 Kagome–三角光子晶格，通过能带表示与 Wilson 回路证实其拓扑非平凡准平带，并提出可在微腔阵列中实现且不受偏振分裂阻碍。
摘要：
拓扑平带（TFB）正日益被视为在强关联物理背景下研究拓扑效应的重要范式。作为一个代表性例子，最近理论上提出，拓扑非平凡性为平带超导性提供了独特贡献，这可能带来更高的超导相变临界温度。然而，玻色子系统中平带内的拓扑效应，特别是在 Bose-Einstein 凝聚（BEC，玻色–爱因斯坦凝聚）背景下，仍较少被探索。理论已经表明，非平凡的拓扑和几何性质也会对玻色凝聚体产生显著影响。不过，潜在的实验实现尚未得到广泛研究。在本工作中，我们基于拓扑量子化学理论，引入了一种由耦合的 Kagome 晶格和三角晶格构成的简单光子晶格，该晶格支持拓扑非平凡的准平带。除能带表示分析外，这些准平带的非平凡性还通过呈现绕曲特征的 Wilson 回路谱得到确认。我们进一步讨论了在微腔阵列中相应的实验实现，以供未来研究，并支持向凝聚激子–极化激元扩展的可能性。值得注意的是，我们证明光学微腔中不可避免的面内纵向–横向偏振分裂不会阻碍拓扑准平带的构建。本工作是在实验上探索玻色子系统准平带中非平凡拓扑和量子几何的物理后果的初步一步，并为其直接观测提供了潜在途径。
英文摘要：
Topological flat bands (TFBs) are increasingly recognized as an important paradigm to study topological effects in the context of strong correlation physics. As a representative example, recently it has been theoretically proposed that the topological non-triviality offers a unique contribution to flat-band superconductivity, which can potentially lead to a higher critical temperature of superconductivity phase transition. Nevertheless, the topological effects within flat bands in bosonic systems, specifically in the context of Bose-Einstein condensation (BEC), are less explored. It has been shown theoretically that non-trivial topological and geometric properties will also have a significant influence in bosonic condensates as well. However, potential experimental realizations have not been extensively studied yet. In this work, we introduce a simple photonic lattice from coupled Kagome and triangular lattices designed based on topological quantum chemistry theory, which supports topologically nontrivial quasi-flat bands. Besides band representation analysis, the non-triviality of these quasi-flat bands is also confirmed by Wilson loop spectra which exhibit winding features. We further discuss the corresponding experimental realization in a microcavity array for future study supporting the potential extension to condensed exciton-polaritons. Notably, we showed that the inevitable in-plane longitudinal-transverse polarization splitting in optical microcavities will not hinder the construction of topological quasi-flat bands. This work acts as an initial step to experimentally explore the physical consequence of non-trivial topology and quantum geometry in quasi-flat bands in bosonic systems, offering potential channels for its direct observation.
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