论文标题
超级效率耦合以外的Lindbladian近似
Lindbladian approximation beyond ultra-weak coupling
论文作者
论文摘要
远离平衡，开放量子系统的特性取决于其环境的细节。因此，主方程（ME）的微观推导至关重要。特别值得关注的是Lindblad型方程，这不仅是因为它们提供了马尔可夫MES最通用的类别，而且还因为它们是有效量子轨迹模拟的起点。 lindblad型ME通常是通过旋转波近似（RWA）源自Born-Markov-Redfield方程的。但是，RWA仅对超湿系统浴耦合有效，并且通常无法准确描述非平衡过程。在这里，我们得出了Redfield方程的替代性Lindbladian近似值，该近似不依赖于超湿系统浴耦合。将其应用于耦合到欧姆浴的扩展哈伯德模型，我们表明，尤其是远离平衡，它在RWA失败的大参数方面提供了良好的近似值。
Away from equilibrium, the properties of open quantum systems depend on the details of their environment. A microscopic derivation of a master equation (ME) is therefore crucial. Of particular interest are Lindblad-type equations, not only because they provide the most general class of Markovian MEs, but also since they are the starting point for efficient quantum trajectory simulations. Lindblad-type MEs are commonly derived from the Born-Markov-Redfield equation via a rotating-wave approximation (RWA). However the RWA is valid only for ultra-weak system bath coupling and often fails to accurately describe nonequilibrium processes. Here we derive an alternative Lindbladian approximation to the Redfield equation, which does not rely on ultra-weak system-bath coupling. Applying it to an extended Hubbard model coupled to Ohmic baths, we show that, especially away from equilibrium, it provides a good approximation in large parameter regimes where the RWA fails.
