title: Crossover physics in the nonequilibrium dynamics of quenched quantum impurity systems.
abstract: A general framework is proposed to tackle analytically local quantum quenches in integrable impurity systems, combining a mapping onto a boundary problem with the form factor approach to boundary-condition-changing operators introduced by Lesage and Saleur [Phys. Rev. Lett. 80, 4370 (1998)]. We discuss how to compute exactly the following two central quantities of interest: the Loschmidt echo and the distribution of the work done during the quantum quench. Our results display an interesting crossover physics characterized by the energy scale T(b) of the impurity corresponding to the Kondo temperature. We discuss in detail the noninteracting case as a paradigm and benchmark for more complicated integrable impurity models and check our results using numerical methods.
authors.affiliation: Institut de Physique Théorique, CEA Saclay, 91191 Gif Sur Yvette, France and LPTENS, 24 rue Lhomond, 75231 Paris, France.
authors.forename: Romain
authors.initials: R
authors.lastname: Vasseur
authors.affiliation: Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
authors.forename: Kien
authors.initials: K
authors.lastname: Trinh
authors.affiliation: Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
authors.forename: Stephan
authors.initials: S
authors.lastname: Haas
authors.affiliation: Institut de Physique Théorique, CEA Saclay, 91191 Gif Sur Yvette, France and Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
authors.forename: Hubert
authors.initials: H
authors.lastname: Saleur