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The synthetic dimension is a rising method to study topological physics,which enables us to implement high-dimensional physics in low-dimensionalgeometries. Photonic orbital angular momentum (OAM), a degree of freedomcharacterized by discrete yet unbounded, serves as a suitable syntheticdimension. However, a sharp boundary along a synthetic OAM dimension has notbeen demonstrated, dramatically limiting the investigation of topological edgeeffects in an open boundary lattice system. In this work, we make a sharpboundary along a Floquet Su-Schrieffer-Heeger OAM lattice and form approximatesemi-infinite lattices by drilling a pinhole on the optical elements in acavity. The band structures with zero ($\pm\pi$) energy boundary states aremeasured directly, benefiting from the spectra detection of the cavity.Moreover, we obtain the edge modes moving from the gap to the bulk bydynamically changing the boundary phase, and we reveal that interference nearthe surface leads to spectrum discretization. Our work provides a newperspective to observe edge effects and explore practical photonics tools.

Realization of edge states along a synthetic orbital angular momentum dimension