论文标题
Fermi的黄金法则以外的开放量子系统：稳态时量符号的无用主方程的图解扩展
Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
论文作者
论文摘要
稳态可观察物（例如职业数量和电流）是开放量子系统中至关重要的实验特征。既精确又是时间本地的无时间对抗（TCL）主方程是对这种可观察到的扰动计算的理想候选者。我们开发了一种示意方法，以根据操作员而不是超级操作器来评估稳态TCL发生器。我们获得稳态职业数量，将我们的公式扩展到电流的计算，并提供对图表的简单物理解释。我们在单个非相互作用级别与费米储层的单个非相互作用级别上进行基准测试，在那里我们将确切的扩展恢复到近代领先的顺序。我们的配方中出现的图表数量少，使得可以访问更高的订单。这些属性结合在一起，使稳态时间频线无用的主方程成为计算开放量子系统中稳态特性的有效工具。
Steady-state observables, such as occupation numbers and currents, are crucial experimental signatures in open quantum systems. The time-convolutionless (TCL) master equation, which is both exact and time-local, is an ideal candidate for the perturbative computation of such observables. We develop a diagrammatic approach to evaluate the steady-state TCL generator based on operators rather than superoperators. We obtain the steady-state occupation numbers, extend our formulation to the calculation of currents, and provide a simple physical interpretation of the diagrams. We further benchmark our method on a single non-interacting level coupled to Fermi reservoirs, where we recover the exact expansion to next-to-leading order. The low number of diagrams appearing in our formulation makes the extension to higher orders accessible. Combined, these properties make the steady-state time-convolutionless master equation an effective tool for the calculation of steady-state properties in open quantum systems.
