Experimental observation of compact edge states in unbalanced lattices suggests new applications for light confinement.
Sub‐symmetry (SubSy) protected topological states represent a concept that goes beyond the conventional framework of symmetry‐protected topological (SPT) phases, demonstrating that topological boundary states can remain robust even when the pertinent symmetry holds only in a subset of Hilbert space. Typical SPT and SubSy‐protected boundary states decay exponentially into the bulk, which means they are not confined to just a few lattice sites close to the boundary. Here, we introduce topologically compact edge states protected by SubSy in an unbalanced cross‐stitch‐like lattice, featuring extreme two‐site localization at the lattice boundaries without any decay into the bulk. The compactness arises from local destructive interference at the boundary, while topological protection is ensured by the SubSy, characterized by quantized winding numbers. Experimentally, it is observed that compact edge states in laser‐written photonic lattices with engineered unit cells, confirming their robustness against perturbations under both chiral symmetry and SubSy conditions. These results highlight the potential of SubSy protection for achieving topological confinement of light, paving the way for applications in compact waveguides, lasers, and high‐sensitivity photonic sensors.
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Cheng et al. (2026) studied this question.
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