论文标题
开放量子系统的拆卸技术：具有驱动触觉骨链的案例研究
Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains
论文作者
论文摘要
量子系统与外部自由度的不可避免的耦合会导致耗散（非自动）动力学，这可能与封闭系统的情况根本不同。这种开放的量子系统动力学通常由Lindblad Master方程来描述，其动力学和稳态特性很具有挑战性，尤其是在许多粒子方案中。在这里，我们介绍了一种基于（耗散）晶格绿色功能的方法来处理这些系统的方法，并通过真实的空间拆卸技术来处理这些系统。与其他方法相比，这种技术可以为动力学和稳态特性（例如渐近衰变或相关长度）获得紧凑的分析表达式。我们用几个驱动的触发性骨链（包括Hatano-Nelson模型）来说明这种方法的力量。后者特别说明了，因为它的表面和散装耗散行为由于其非平凡拓扑而连接，这表现在方向扩增中。
The unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics, which can be radically different from closed-system scenarios. Such open quantum system dynamics is generally described by Lindblad master equations, whose dynamical and steady-state properties are challenging to obtain, especially in the many-particle regime. Here, we introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function with a real-space decimation technique. Compared to other methods, such technique enables obtaining compact analytical expressions for the dynamics and steady-state properties, such as asymptotic decays or correlation lengths. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity, including the Hatano-Nelson model. The latter is especially illustrative because its surface and bulk dissipative behavior are linked due to its non-trivial topology, which manifests in directional amplification.
