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To study the full counting statistics of quantum heat transfer in a drivennonequilibrium spin-boson model, we develop a generalized nonequilibriumpolaron-transformed Redfield equation with an auxiliary counting field. Thisenables us to study the impact of qubit-bath coupling ranging from weak tostrong regimes. Without external modulations, we observe maximal values of bothsteady state heat flux and noise power at moderate coupling regimes, belowwhich we find those two transport quantities are enhanced by the finite qubitenergy bias. With external modulations, the geometric-phase-induced heat fluxshows monotonic decrease as increasing the qubit-bath coupling at zero qubitenergy bias (without bias). While under finite qubit energy bias (with bias),the geometric-phase-induced heat flux exhibits an interesting reversal behaviorin strong coupling regime. Our results unify the seemingly contradictoryresults in weak and strong qubit-bath coupling regimes, and provide detaileddissections for the quantum fluctuation of nonequilibrium heat transfer.

Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics