Time-Dependent Multistate Switching of Topological Antiferromagnetic Order in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msub><mml:mi>Mn</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>Sn</mml:mi></mml:math>

The manipulation of antiferromagnetic order by means spin-orbit torques opens unprecedented opportunities to exploit the dynamics antiferromagnets in spintronic devices. In this work, we investigate current-induced switching magnetic octupole vector Weyl antiferromagnet Mn$_3$Sn as a function pulse shape, field, temperature, and time. We find that behavior can be either bistable or tristable depending on temporal structure current pulses. Time-resolved Hall effect measurements reveal proceeds via two-step demagnetization-remagnetization process caused self-heating over timescale tens ns followed cooling presence torques. Our results shed light prove existence extrinsic limits its speed.