PsiQuaSP --对称开放量子系统的高效计算库
PsiQuaSP -- A library for efficient computation of symmetric open quantum systems
摘要：
在最近的出版物中，我们表明，置换对称性降低了相同的多能级系统的Lindblad量子主方程的数值复杂性，从指数到多项式标度。这是很重要的开放系统动力学，包括现实的系统浴相互作用和退相，例如，迪克模型，多$Λ$系统设置等。在这里，我们提出了一个面向对象的C++库，允许设置和解决任意量子光学Lindblad主方程，特别是那些在多层次系统中的置换对称。Psideration SP（Permutation symmetry for identical Quantum Systems Package）使用PETSc包作为稀疏线性代数方法和微分方程的基础。Psiphon SP的目标是提供灵活，存储效率和可扩展的代码，同时尽可能用户友好。它易于应用于多能级系统的量子光学或量子信息系统。我们首先回顾了量子主方程中多能级系统的置换对称性的基础知识。用几个典型的、简单的开放量子光学系统的例子说明了PsipherSP在量子动力学问题中的应用。
英文摘要：
In a recent publication we showed that permutation symmetry reduces the numerical complexity of Lindblad quantum master equations for identical multi-level systems from exponential to polynomial scaling. This is important for open system dynamics including realistic system bath interactions and dephasing in, for instance, the Dicke model, multi-$Λ$ system setups etc. Here we present an object-oriented C++ library that allows to setup and solve arbitrary quantum optical Lindblad master equations, especially those that are permutationally symmetric in the multi-level systems. PsiQuaSP (Permutation symmetry for identical Quantum Systems Package) uses the PETSc package for sparse linear algebra methods and differential equations as basis. The aim of PsiQuaSP is to provide flexible, storage efficient and scalable code while being as user friendly as possible. It is easily applied to many quantum optical or quantum information systems with more than one multi-level system. We first review the basics of the permutation symmetry for multi-level systems in quantum master equations. The application of PsiQuaSP to quantum dynamical problems is illustrated with several typical, simple examples of open quantum optical systems.
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