论文标题
通过Lindblad形式主义通过一维拓扑系统的粒子和热传输
Particle and thermal transport through one dimensional topological systems via Lindblad formalism
论文作者
论文摘要
我们将lindblad量子主方程应用于一个一维拓扑系统的两个示例，即su-schrieffer-heeger（SSH）模型和基塔耶夫链，以研究其粒子和热运输。稳态特性是通过将费米分解为Majorana fermions并提取其相关函数来获得的。当系统由两个耦合到两端的储层驱动时，我们专注于流经整体的粒子和热流电流。与带宽相同的拓扑结构和琐碎机制的SSH模型电流的比率表明，由于边缘状态引起的运输抑制，这将夫妇置于储层，但不参与运输。基塔夫链无法进行类似的比较，因为拓扑和微不足道的机制具有不同的带宽，并且边缘状态远离过渡的差异不大。因此，结果对比量子运输中的各种拓扑特性。
We apply the Lindblad quantum master equation to two examples of one-dimensional topological systems, the Su-Schrieffer-Heeger (SSH) model and Kitaev chain, to study their particle and thermal transport. The steady-state properties are obtained by decomposing fermions into Majorana fermions and extracting their correlation functions. We focus on the particle and thermal currents flowing through the bulk when the system is driven by two reservoirs coupled to the two ends. The ratio of the currents of the SSH model from the topological and trivial regimes with the same bandwidth demonstrates suppression of transport due to the edge states, which couple to the reservoirs but do not participate in transport. A similar comparison cannot be performed for the Kitaev chain because the topological and trivial regimes have different bandwidths, and the edge states are less significant away from the transition. Therefore, the results contrast various topological properties in quantum transport.
