论文标题
非马克维亚主方程用于费米子载体的量子运输
Non-Markovian master equation for quantum transport of fermionic carriers
论文作者
论文摘要
我们提出了一个简单但可行的模型，用于将费米载体跨结合链的量子运输，连接两个保持在任意温度和化学电位的储层。该模型允许在Markov和Born近似中以封闭形式的还原单粒子密度矩阵的主方程进行基本推导。在马尔可夫近似中，通过分析求解主方程，而在天生的近似中，该问题被简化为红场形式的单个粒子密度矩阵的代数方程。非马克维亚方程显示出与Landauer的电导类似的共振运输。
We propose a simple, yet feasible, model for quantum transport of fermionic carriers across tight-binding chain connecting two reservoirs maintained at arbitrary temperatures and chemical potentials. The model allows for elementary derivation of the master equation for the reduced single particle density matrix in a closed form in both Markov and Born approximations. In the Markov approximation the master equation is solved analytically, whereas in the Born approximation the problem is reduced to an algebraic equation for the single particle density matric in the Redfield form. The non-Markovian equation is shown to lead to resonant transport similar to Landauer's conductance.
