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We investigate the nonequilibrium quantum heat transfer in a triangle-coupledspin-boson system within a three-terminal setup. By including thenonequilibrium noninteracting blip approximation approach combined with thefull counting statistics, we analytically obtain the steady state populationsand heat currents. The negative differential thermal conductance and giant heatamplification factor are clearly observed at strong qubit-bath coupling. %andthe heat amplification is dramatically suppressed in the moderate couplingregime. Moreover, the strong interaction between the gating qubit and gatingthermal bath is unraveled to be compulsory to exhibit these far-fromequilibrium features.

Negative differential thermal conductance and heat amplification in a nonequilibrium triangle-coupled spin-boson system at strong coupling