  We study theoretically two vibrating quantum emitters trapped near a
one-dimensional waveguide and interacting with propagating photons. We
demonstrate, that in the regime of strong optomechanical interaction the
light-induced coupling of emitter vibrations can lead to formation of spatially
localized vibration modes, exhibiting parity-time (PT ) symmetry breaking.
These localized vibrations can be interpreted as topological defects in the
quasiclassical energy spectrum.
