The Ford-Kac-Mazur method is used to study quantum thermal transport in harmonic chains connected to two noise reservoirs satisfying the fluctuation-dissipation theorem. The size-dependence of the heat current was analyzed for the different reservoirs. It is shown that the heat current depends not just on the system itself but also on the spectral properties of the heat baths, especially on the low-frequency part. Also, there exists a local temperature equilibrium for ordered chains.