  Thermal rectification and heat amplification are investigated in a
nonequilibrium V-type three-level system with quantum interference. By applying
the Redfield master equation combined with full counting statistics, we analyze
the steady state heat transport. The noise-induced interference is found to be
able to rectify the heat current, which paves a new way to design quantum
thermal rectifier. Within the three-reservoir setup, the heat amplification is
clearly identified far-from equilibrium, which is in absence of the negative
differential thermal conductance.
