论文标题
拓扑扩展包括量子跳跃
Topological extension including quantum jump
论文作者
论文摘要
非热门系统和lindblad形式的主方程一直被视为耗散建模的可靠工具。有趣的是，现有文献经常通过忽略主方程中的量子跳跃术语来获得同等的非热汉顿人。但是，缺乏对废弃术语的影响以及这两种方法之间的统一联系的研究。在这项研究中，我们研究了具有集体损失的Su-Schrieffer-Heeger模型，并从拓扑角度研究了。当系统不经历量子跳跃事件时，相应的形状矩阵与传统的非热理论相反，表现出相同的拓扑特性。相反，量子跳跃的发生可能会导致相变位置的变化。我们的研究对量子跳跃项的影响进行了定性分析，并揭示了它们在量子系统中的独特作用。
Non-Hermitian systems and the Lindblad form master equation have always been regarded as reliable tools in dissipative modeling. Intriguingly, existing literature often obtains an equivalent non-Hermitian Hamiltonian by neglecting the quantum jumping terms in the master equation. However, there lacks investigation into the effects of discarded terms as well as the unified connection between these two approaches. In this study, we study the Su-Schrieffer-Heeger model with collective loss and gain from a topological perspective. When the system undergoes no quantum jump events, the corresponding shape matrix exhibits the same topological properties in contrast to the traditional non-Hermitian theory. Conversely, the occurrence of quantum jumps can result in a shift in the positions of the phase transition. Our study provides a qualitative analysis of the impact of quantum jumping terms and reveals their unique role in quantum systems.
