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We investigate entanglement dynamics in the antiferromagnetic Heisenbergmodel in two dimensions following a spatially anisotropic quench of theexchange interactions. Opposed to established results in one dimension, themagnon quasiparticles show an initial growth of entanglement dynamics that doesnot depend on the system size and is governed by the oscillation period of theexchange interaction. We ascribe this to the dominance of the intrinsicentanglement of short wavelength non-propagating magnon-pairs, which also leadsto a competition between area-law and volume-law contribution in theentanglement dynamics. Furthermore, by adopting the neural-network quantumstates, we provide numerical evidence that this behavior survives even in thepresence of strong magnon-magnon interactions, suggesting new avenues formanipulating entanglement dynamics in quantum materials.

Ultrafast dynamics of entanglement in Heisenberg antiferromagnets