Despite several different measures of efficiency that are applicable to the photosynthetic systems, a precise degree of efficiency of these systems is not completely determined. Introducing an efficient model for the dynamics of light-harvesting complexes in biological environments is a major purpose in investigating such systems. Here, we investigate the effect of macroscopic quantum behavior of a system of two pigments on the transport phenomena in this system model which interacts with an oscillating environment. We use the second-order perturbation theory to calculate the time-dependent population of excitonic states of a two-dimensional Hamiltonian using a non-master equation approach. Our results demonstrate that the quantum efficiency is robust with respect to the macroscopicity parameter $\tilde{h}$ solely, but the ratio of macroscopicity over the pigment-pigment interaction energy can be considered as a parameter that may control the energy transfer efficiency at a given time. So, the dynamical behavior and the quantum efficiency of the supposed photosynthetic system may be influenced by a change in the macroscopic behavior of the system.

尽管适用于光合作用系统的效率有几种不同的衡量标准，但这些系统的效率的精确程度尚未完全确定。为生物环境中光捕获复合物的动力学引入有效模型是研究此类系统的主要目的。在这里，我们研究了两种颜料系统的宏观量子行为对该系统模型中与振荡环境相互作用的传输现象的影响。我们使用二阶微扰理论使用非主方程方法计算二维哈密顿量的激子态的时间相关总体。我们的结果表明，量子效率相对于宏观参数是稳健的$\stackrel{～}{H}$单独，但宏观与颜料 - 颜料相互作用能的比率可以被视为可以在给定时间控制能量转移效率的参数。因此，假设光合系统的动力学行为和量子效率可能会受到系统宏观行为变化的影响。