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We present experimental and computational findings of the laser-inducednon-reciprocal motion of magnetization during ultrafast photo-magneticswitching in garnets. We found distinct coherent magnetization precessiontrajectories and switching times between four magnetization states, dependingon both directions of the light linear polarization and initial magnetic state.As a fingerprint of the topological symmetry, the choice of the switchingtrajectory is governed by an interplay of the photo-magnetic torque andmagnetic anisotropy. Our results open a plethora of possibilities for designingenergy-efficient magnetization switching routes at arbitrary energy landscapes.

Non-reciprocal coherent all-optical switching between magnetic multi-states