量子逆反应的复杂时间路径
Complex time route to quantum backreaction
摘要：
考虑量子系统$q$在与之相互作用的有效经典自由度$C$上的反反应，基于标准路径积分形式的反反应方程给出了所谓的“输入-输出”反反应方程，它具有几个严重的病态.人们可以使用不同的反反应处方，称为“内-内”方法，它解决了“内-外”反反应方程的所有问题。然而，这一程序通常是以相当特殊的方式援引的。在这里，我们提供了一个严格的路径积分推导的“在中”的方法，利用量子演化的概念沿复杂的时间轮廓。结果表明，这种方法也可以用来研究在一个统一的方式“在”和“在”的反反应方程。
英文摘要：
We consider the backreaction of a quantum system $q$ on an effectively classical degree of freedom $C$ that is interacting with it. The backreaction equation based on the standard path integral formalism gives the so-called `in-out' backreaction equation, which has several serious pathologies. One can use a different backreaction prescription, referred to as the `in-in' approach, which resolves all the issues of `in-out' backreaction equation. However, this procedure is usually invoked in a rather ad hoc manner. Here we provide a rigorous path integral derivation of the `in-in' approach by exploiting the concept of quantum evolution along complex time contours. It turns out that, this approach can also be used to study both the `in-in' and `in-out' backreaction equations in a unified manner.
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