  The Su-Schrieffer-Heeger (SSH) model is likely the simplest one-dimensional
concept to study non-trivial topological phases and topological excitations.
Originally developed to explain the electric conductivity of polyacetylene, it
has become a platform for the study of topological effects in electronics,
photonics and ultra-cold atomic systems. Here, we propose an experimentally
feasible implementation of the SSH model based on coupled one-dimensional
acoustic nanoresonators working in the GHz-THz range. In this simulator it is
possible to implement different signs in the nearest neighbor interaction
terms, showing full tunability of all parameters in the SSH model. Based on
this concept we construct topological transition points generating nanophononic
edge and interface states and propose an easy scheme to experimentally probe
their spatial complex amplitude distribution directly by well-established
optical pump-probe techniques.
