title: Correlation dynamics during a slow interaction quench in a one-dimensional Bose gas.
abstract: We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization approach and the Bose-Hubbard model using the time-dependent density-matrix renormalization group method. For short distances, correlations follow a power law with distance with an exponent given by the adiabatic approximation. In contrast, for long distances, correlations decay algebraically with an exponent understood within the sudden quench approximation. This long distance regime is separated from an intermediate distance one by a generalized Lieb-Robinson criterion. At long times, in this intermediate regime, bosonization predicts that single-particle correlations decay following a stretched exponential, an unconventional behavior. We develop here an intuitive understanding for the propagation of correlations, in terms of a generalized light cone, applicable to a large variety of systems and quench forms.
authors.affiliation: Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z1, Canada.
authors.forename: Jean-Sébastien
authors.initials: JS
authors.lastname: Bernier
authors.affiliation: Dipartimento di Fisica "E. R. Caianiello" and CNR-SPIN, Università degli Studi di Salerno, I-84084 Fisciano, Italy.
authors.forename: Roberta
authors.initials: R
authors.lastname: Citro
authors.affiliation: HISKP, University of Bonn, Nussallee 14-16, D-53115 Bonn, Germany.
authors.forename: Corinna
authors.initials: C
authors.lastname: Kollath
authors.affiliation: Laboratoire de Physique de l'École Normale Supérieure de Lyon, CNRS UMR5672, 46 Allée d'Italie, F-69364 Lyon Cedex 7, France.
authors.forename: Edmond
authors.initials: E
authors.lastname: Orignac