Nodal lines are symmetry-protected one-dimensional band degeneracies in
momentum space, which can appear in numerous topological configurations such as
nodal rings, chains, links, and knots. Very recently, non-Abelian topological
physics has been proposed in space-time inversion (PT) symmetric systems, and
attract widespread attention. One of the most special configurations in
non-Abelian system is the earring nodal link, composing of a nodal chain
linking with an isolated nodal line, is signature of non-Abelian topology and
cannot be elucidated using Abelian topological classifications. However, the
earring nodal links have not been yet observed in real system. Here we design
the phononic crystals with earring nodal links, and verify its non-Abelian
topologicial charge in full-wave simulations. Moreover, we experimentally
observed two different kinds of earring nodal links by measuring the band
structures for two phononic crystals. Specifically, we found that the order of
the nodal chain and line can switch after band inversion but their link cannot
be severed. Our work provides experimental evidence for phenomena unique to
non-Abelian band topology and our simple acoustic system provides a convenient
platform for studying non-Abelian charges.Comment: 14 pages, 3 figure