  Flat-band topologies and localizations in non-interacting systems are
extensively studied in different quantum and classical-wave systems. Recently,
the exploration on the novel physics of flat-band localizations and topologies
in interacting systems has aroused great interest. In particular, it is
theoretically shown that the strong-interaction could drive the formation of
nontrivial topological flat bands, even dispersive trivial bands dominate the
single-particle counterparts. However, the experimental observation of those
interesting phenomena is still lacking. Here, we experimentally simulate the
interaction-induced flat-band localizations and topological edge states in
electrical circuit networks. We directly map the eigenstates of two correlated
bosons in one-dimensional Aharonov Bohm cages to modes of two-dimensional
circuit lattices.In this case, the two-boson flat-bands and topological edge
states are detected by measuring frequency-dependent impedance responses and
voltage dynamics in the time domain. Our finding suggests a flexible platform
to simulate the interaction-induced flat-band topology, and may possess
potential applications in designing novel electronic devices.
