title: Universal energy distribution of quasiparticles emitted in a local time-dependent quench.
abstract: We study the emission of quasiparticles in the scaling limit of the 1D quantum Ising chain at the critical point perturbed by a time-dependent local transverse field. We compute exactly and for a generic time dependence the average value of the transverse magnetization, its correlation functions, as well as the statistics of both the inclusive and exclusive work. We show that, except for a cyclic perturbation, the probability distribution of the work at low energies is a power law whose exponent is universal, i.e., does not depend on the specific time-dependent protocol, but only on the final value attained by the perturbation.
authors.affiliation: SISSA, International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy.
authors.forename: Pietro
authors.initials: P
authors.lastname: Smacchia
authors.forename: Alessandro
authors.initials: A
authors.lastname: Silva