The topological properties of the 1D Su-Schrieffer-Heeger model undergoing a slow quench between different topological regimes are studied. Because of dynamically induced breaking of chiral symmetry, the winding number becomes ill defined. It is also demonstrated that its natural generalization based on projections of the band pseudospins onto the plane is not conserved. After a quench from the trivial to the topological regime, the edge states are occupied. The slower the quench, the closer is the state of the propagated system after the quench to the ground state of the final Hamiltonian. The characteristic time scales with the square of the system size.
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