简单光合作用模型中的能量转移和量子关联-理论物理专业论文.docxVIP

IIDiscord的解析表达式，揭示了稳态情况下量子纠缠和量子Discord与 II Discord的解析表达式，揭示了稳态情况下量子纠缠和量子Discord与 能量转移效率之间的变化关系。表明量子Discord随能量转移效率之 间的变化存在一个临界点Q．当Discord小于临界点Q的量子关联 时，能量转移效率随量子关联的增加而增大，当Discord关联大于临 界点Q的量子关联时，能量转移效率随量子关联的增加而减小。表明 能量转移效率随量子关联的变化和它与量子纠缠的变化有相似的规 律。光合作用过程中的激子能量转移是一个非常复杂的物理过程， 本文利用的二聚体模型仅仅是一个最理想化的简单模型，只包含一 个能量供体和一个能量接受体，并且能量供体和一个能量接受体都 被假设为两能级系统。这样的简单模型不能反映能量供体与供体之 间以及能量接受体与接受体之间的相互作用．另一方面，本文研究 的二聚体模型与环境的相互作用也是理想的相位阻尼模型。怎样发 展更能反映实际的光合作用过程的激子能量转移的物理模型以及探 索量子关联在能量转移过程中的作用是有待进一步研究的问题。 关键词：光合作用模型；能量转移效率；量子关联；量子纠缠。 IIIAB III AB STRACT In this thesis we study the exciton energy transfer and quantum corre- lations in a simple photosynthesis model．The simple photosynthesis model treated as a two-dimer model in this thesis is consist of an energy donor and an energy acceptor which are both treated as two two-level energy systems． We study in detail how the different initial states of the energy donor and the energy acceptor influence the exciton energy transfer efficiency,and the rela- tionship between the energy transfer efficiency and the quantum correlation of the donor and the acceptor in the process of energy transfer．The main results obtained in this thesis include the following four aspects： Obtain the analytical expression of the energy transfer efficiency of Non- entangled pure state，showing the variation of the energy transfer efficiency over time and indicating that the transfer efficiency has something to do with the mixing angle，the damping function and the intrinsic energy of the dimer．It is found that for the steady state the exciton energy transfer efficiency depends only on the mixing angle of the donor and the acceptor．When the donor and the acceptor are resonant，the energy transfer efficiency is maximum．The increasing of the detuning between donor and acceptor will reduce the energy transfer efficiency．If the interaction between donor and acceptor vanish away, the energy transfer between them won’t happen． Obtain the analytical expression of the energy transfer