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Quantum heat transfer is analyzed in nonequilibrium two-qubits systems byapplying the nonequilibrium polaron-transformed Redfield equation combined withfull counting statistics. Steady state heat currents with weak and strongqubit-bath couplings are clearly unified. Within the two-terminal setup, thenegative differential thermal conductance is unraveled with strong qubit-bathcoupling and finite qubit splitting energy. The partially strong spin-bosoninteraction is sufficient to show the negative differential thermalconductance. Based on the three-terminal setup, that two-qubits areasymmetrically coupled to three thermal baths, a giant heat amplificationfactor is observed with strong qubit-bath coupling. Moreover, the stronginteraction of either the left or right spin-boson coupling is able to exhibitthe apparent heat amplification effect.

Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems