摘要: Ultracold atom arrays in optical lattices emerge as an excellent playground
for the integration of topological photonics and quantum optics. Here, we study
high-order topological quantum optics in an ultracold atom metasurface intended
to mimic the two-dimensional Su-Schrieffer-Heeger model. We find the existence
of long-range interactions beyond nearest-neighbor ones leads to isolated
corner states in the band gap, and show a corner atom can be addressed by a
laser drive far away from it via these nontrivial states. We demonstrate the
Purcell factor can be used as a powerful tool to examine the existence of
topological edge and corner states. We predict topological edge states can
mediate strong coherent interactions between two remote impurity quantum
emitters while suppressing dissipative losses thanks to the higher-order
topology, generating robust and long-lived quantum entanglement, without the
need for additional photonic structures.