论文标题
量子主方程（QME）模型的密度矩阵，用于顺序隧穿制度中库仑耦合量子点的阵列
Density matrix to quantum master equation (QME) model for arrays of Coulomb coupled quantum dots in the sequential tunneling regime
论文作者
论文摘要
在文献中已经提出了带有楼梯基态配置的库仑耦合量子点阵列，以增强热收获和制冷性能。但是，由于它们相互的库仑相互作用，对此类系统的性能分析仍然很复杂，因此需要使用密度矩阵配方来考虑微观物理。然而，从哈密顿系统到密度矩阵制定的设备分析的路径很复杂，并且缺乏量子主方程（QME）方法传达的顺序电子传输的简单性和直观方面。在本文中，从哈密顿系统开始，并采用密度矩阵公式，我得出了一个由三个量子点组成的系统的QME，其中两个是电恒定耦合的。本文中规定的框架可以进一步扩展到QME的QME，具有较高数量的库仑耦合量子点。
Coulomb coupled quantum dot arrays with staircase ground state configuration have been proposed in literature for enhancing heat-harvesting and refrigeration performance. However, due to their mutual Coulomb interaction, a performance analysis of such systems remains complicated and necessitates consideration of microscopic physics using density matrix formulation. However the path of device analysis starting from the system Hamiltonian to density matrix formulation is complicated and lacks the simplicity and intuitive aspect of sequential electron transport conveyed by the quantum master equation (QME) approach. In this paper, starting from the system Hamiltonian and employing the density matrix formulation, I derive the QME of a system of three quantum dots, two of which are electro-statically coupled. The framework formulated in this paper can be further extended to derive QME of systems with higher number of Coulomb coupled quantum dots.
