1111.1988 (Alvaro Caso et al.)

Defining the effective temperature of a quantum driven system from
current-current correlation functions    [PDF]

Alvaro Caso, Liliana Arrachea, Gustavo S. Lozano

We calculate current-current correlation functions for quantum driven systems
and find an expression for the zero-frequency noise of multiterminal systems
driven by harmonically time-dependent voltages within the Green's functions
formalism. The result is shown to coincide with the one obtained with the
scattering matrix approach. We also propose a fluctuation-dissipation relation
for current-current correlation functions to define an effective temperature.
We discuss the behavior of this temperature and compare it with the local
temperature determined by a thermometer and with the effective temperature
defined from a single-particle fluctuation-dissipation relation. We show that
for low frequencies all the definitions of the temperature coincide.

View original: http://arxiv.org/abs/1111.1988