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Controlled generation of coherent spin waves with highest possiblefrequencies and the shortest possible wavelengths is a cornerstone ofspintronics and magnonics. Here, using the Heisenberg antiferromagnet RbMF$_3$,we demonstrate that laser-induced THz spin dynamics corresponding to pairs ofmutually coherent counter propagating spin waves with the wavevectors up to theedge of the Brillouin zone cannot be understood in terms of magnetization andantiferromagnetic (N\'eel) vectors, conventionally used to describe spin waves.Instead, we propose to model such spin dynamics using the spin correlationfunction. We derive a quantum-mechanical equation of motion for the latter andemphasize that, unlike the magnetization and antiferromagnetic vectors the spincorrelations in antiferromagnets do not exhibit inertia.

Coherent THz Spin Dynamics in Antiferromagnets Beyond the Approximation of the N\'eel vector