Collective dynamics of topological magnetic textures can be thought of as a
massive particle moving in a magnetic pinning potential. We demonstrate that
inside a cavity resonator this effective mechanical system can feel the
electromagnetic radiation pressure from cavity photons through the
magneto-optical inverse Faraday and Cotton-Mouton effects. We estimate values
for the effective parameters of the optomechanical coupling for two spin
textures -- a Bloch domain wall and a chiral magnetic soliton lattice. The
soliton lattice has magnetic chirality, so that in circularly polarized light
it behaves like a chiral particle with the sign of the optomechanical coupling
determined by the helicity of the light and chirality of the lattice. Most
interestingly, we find a level attraction regime for the soliton lattice, which
is tunable through an applied magnetic field.Comment: 7 pages, 3 figures, published versio
