Characterization of a ground state quantum quench of the Kitaev chain model with variable-range interactions using work statistics

Abstract

We study the work statistics associated with a ground state quantum quench of the Kitaev chain model with variable-range interactions. We do this by initially preparing a system in the ground state of the Hamiltonian at zero temperature. The relative chemical potential parameter, which governs the unbalance between the chemical potential and hopping terms, is then abruptly changed. The variables of the work statistics, i.e., the average work done and work fluctuation, are derived. The average work done and work fluctuations are shown to have inflection points and kinks, respectively, which signal the vanishing of the excitation gap at the critical prequench relative chemical potential.