Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
Laura FoiniLaboratoire de Physique Théorique, Ecole Normale Supérieure de Paris, UMR 8549, 24 rue Lhomond, F-75234 Paris Cedex 05, FranceLeticia F. CugliandoloUniversité Pierre et Marie Curie – Paris VI, Laboratoire de Physique Théorique et Hautes Energies, UMR 7589, Tour 15 5ème étage, 4 Place Jussieu, F-75252 Paris Cedex 05, FranceAndrea GambassiSISSA–International School for Advanced Studies and INFN, via Bonomea 265, I-34136 Trieste, Italy
2011en
ABI
Abstract
Dynamic correlation and response functions of classical and quantum systems in thermal equilibrium are connected by fluctuation-dissipation theorems, which allow an alternative definition of their (unique) temperature. Motivated by this fundamental property, we revisit the issue of thermalization of closed many-body quantum systems long after a sudden quench, focusing on the nonequilibrium dynamics of the Ising chain in a critical transverse field. We show the emergence of distinct observable-dependent effective temperatures, which rule out Gibbs thermalization in a strict sense but might still have a thermodynamic meaning.
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