Role of topology on the work distribution function of a quenched Haldane model of graphene

Abstract

We investigate the effect of equilibrium topology on the statistics of non-equilibrium work performed during the subsequent unitary evolution, following a sudden quench of the Semenoff mass of the Haldane model. We show that the resulting work distribution function for quenches performed on the Haldane Hamiltonian with broken time reversal symmetry (TRS) exhibits richer universal characteristics as compared to those performed on the time-reversal symmetric massive graphene limit. Our results show that the work statistics of non-equilibrium work can therefore be used as an effective tool to probe the equilibrium topology and approximately trace out the topological phase diagram of a given chern insulator.