Heat conductivity in small quantum systems: Kubo formula in Liouville space

Autor(en): Michel, M
Gemmer, J 
Mahler, G
Stichwörter: Physics; Physics, Condensed Matter; THERMAL-CONDUCTIVITY; TRANSPORT PHENOMENA
Erscheinungsdatum: 2004
Herausgeber: SPRINGER
Journal: EUROPEAN PHYSICAL JOURNAL B
Volumen: 42
Ausgabe: 4
Startseite: 555
Seitenende: 559
Zusammenfassung: 
We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad formalism. The temperature gradient introduced by this environment is then treated as an external perturbation. We propose a method to evaluate the heat current and the local temperature profile of the resulting stationary state as well as the heat conductivity in such systems. This method is similar to Kubo techniques used e.g. for electrical transport but extended here to the Liouville space.
ISSN: 14346028
DOI: 10.1140/epjb/e2005-00014-x

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