Article

Journal of Statistical Physics

, Volume 123, Issue 3, pp 547-569

Linear Response Theory for Thermally Driven Quantum Open Systems

  • V. JakšićAffiliated withDepartment of Mathematics and Statistics, McGill University Email author 
  • , Y. OgataAffiliated withCPT-CNRS UMR 6207, Université du SudDepartment of Mathematical Sciences, University of Tokyo
  • , C.-A. PilletAffiliated withCPT-CNRS UMR 6207, Université du Sud

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Abstract

This note is a continuation of our recent paper [V. Jakšić Y. Ogata, and C.-A. Pillet, The Green-Kubo formula and Onsager reciprocity relations in quantum statistical mechanics. Commun. Math. Phys. in press.] where we have proven the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes in thermally driven quantum open systems. In this note we extend the derivation of the Green-Kubo formula to heat and charge fluxes and discuss some other generalizations of the model and results of [V. Jakšić Y. Ogata and C.-A. Pillet, The Green-Kubo formula and Onsager reciprocity relations in quantum statistical mechanics. Commun. Math. Phys. in press.].

Keywords

nonequilibrium statistical mechanics steady states linear rsponse kubo formula fluctuation-dissipation onsager reciprocity