M. Grifoni et al., EXACT MASTER-EQUATIONS FOR DRIVEN DISSIPATIVE TIGHT-BINDING MODELS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(3), 1996, pp. 2033-2036
The dynamics of the driven dissipative two-state system is formulated
in terms of an exact nonconvolutive master equation. The kernel is exp
ressed as power series in the intersite coupling, in which the lowest
order corresponds to the familiar noninteracting-blip approximation. W
e use this formalism to calculate the kernel systematically in all ord
ers of the intersite coupling for weak damping, and we solve the affil
iated master equation for high-frequency driving in analytic form. Our
approach finds straightforward generalization to any multistate dissi
pative tight-binding system.