量子动力学的唯象位置和能量分辨Lindblad方法
A phenomenological position and energy resolving Lindblad approach to quantum kinetics
摘要：
本文提出了一种研究与熔池耦合系统中量子动力学的一般理论方法。从微观相互作用出发，建立了Lindblad主方程，它超越了通常的久期近似。这允许处理系统，其中内聚性由浴耦合产生，同时避免在Bloch-Wangsness-Redfield动力学方程中发生的负占用。该方法的通用性和准确性通过其应用于三个完全不同的物理系统来验证：（i）通过耦合到电子库的双点系统的电传输，（ii）在热浴存在下耦合发色团中的激子动力学，以及（iii）量子级联激光器的模拟，其中相干电子输运通过与声子和杂质的散射来建立。
英文摘要：
A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular approximation. This allows for the treatment of systems, where coherences are generated by the bath couplings while avoiding the negative occupations occurring in the Bloch-Wangsness-Redfield kinetic equations. The versatility and accuracy of the approach is verified by its application to three entirely different physical systems: (i) electric transport through a double-dot system coupled to electronic reservoirs, (ii) exciton kinetics in coupled chromophores in the presence of a heat bath, and (iii) the simulation of quantum cascade lasers, where the coherent electron transport is established by scattering with phonons and impurities.
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