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We consider the low-energy excitations of one-dimensional spin-orbital modelswhich consist of spin waves, orbital waves, and joint spin-orbital excitations.Among the latter we identify strongly entangled spin-orbital bound states whichappear as peaks in the von Neumann entropy (vNE) spectral function introducedin this work. The strong entanglement of bound states is manifested by auniversal logarithmic scaling of the vNE with system size, while the vNE ofother spin-orbital excitations saturates. We suggest that spin-orbitalentanglement can be experimentally explored by the measurement of the dynamicalspin-orbital correlations using resonant inelastic x-ray scattering, wherestrong spin-orbit coupling associated with the core hole plays a role.

Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models