非马尔可夫自旋玻色子模型的有效实时路径积分
Efficient Real-Time Path Integrals for Non-Markovian Spin-Boson Models
摘要：
系统与环境之间的强耦合导致非马尔可夫动力学的出现，这不能用时间局域主方程来描述。捕获这种动态的一种方法是使用数值实时路径积分，其中假设有限的浴存储器时间能够实现可管理的模拟缩放。然而，通过与精确可解的独立玻色子模型的比较，我们发现，在精确动力学中瞬态负衰减率的存在可能导致在有限记忆近似下密度矩阵元的非物理指数增长的模拟。因此，我们重新制定这种近似，以这样一种方式，确切的动力学是相同的再现，然后将我们的新方法应用到自旋玻色子模型与超欧姆环境耦合，通常用于模拟声子环境，但不能完全解决。我们的新方法使我们能够很容易地访问参数制度，我们发现人口动态的复苏，这是由于非马尔可夫回流的信息从浴缸的系统。
英文摘要：
Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics is to use numerical real-time path integrals, where assuming a finite bath memory time enables manageable simulation scaling. However, by comparing to the exactly soluble independent boson model, we show that the presence of transient negative decay rates in the exact dynamics can result in simulations with unphysical exponential growth of density matrix elements when the finite memory approximation is used. We therefore reformulate this approximation in such a way that the exact dynamics are reproduced identically and then apply our new method to the spin-boson model with superohmic environmental coupling, commonly used to model phonon environments, but which cannot be solved exactly. Our new method allows us to easily access parameter regimes where we find revivals in population dynamics which are due to non-Markovian backflow of information from the bath to the system.
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