  The interplay between topology, dissipation and nonlinearities can give rise
to a wealth of new phenomena and pave the way for novel topological lasers,
sensors and other quantum devices. Along these lines, we propose here an
optomechanical setup in which the concomitant presence of a spatially modulated
external drive and dissipation gives rise to a topologically nontrivial state
for mechanical and optical excitations. We are able to show that the
one-dimensional system considered here exhibits topologically protected end
states for which mechanical and optical degrees of freedom are entangled. We
show such entanglement to be robust with respect to the presence of
nonzero-temperature baths and we propose a protocol for experimental
observation of the entanglement.
