Quench dynamics in topologically nontrivial quantum many-body systems

We investigate the nonequilibrium dynamics of a ground-state fermionic many-body gas subjected to a quench between parameter regimes of a topologically nontrivial Hamiltonian. By focusing on the role of the chiral edge states inherent in the system, we calculate the many-body overlap and show that the characteristic monotonic decay of the orthogonality catastrophe with increasing system size is notably altered. Specifically, we demonstrate that the dynamics are governed not solely by the total particle number but, rather, by the number of occupied single-particle edge states. This behavior is further explained through an analysis of the full work probability distribution, providing a deeper understanding of the system's dynamics.