  We study heat conduction in quantum disordered harmonic chains connected to
general heat reservoirs which are modeled as infinite collection of
oscillators. Formal exact expressions for the thermal current are obtained and
it is shown that, in some special cases, they reduce to Landauer-like forms.
The asymptotic system size dependence of the current is analysed and is found
to be similar to the classical case. It is a power law dependence and the power
depends on the spectral properties of the reservoirs.

Mesoscale and Nanoscale Physics;Disordered Systems and Neural Networks