论文标题
伪模的通用理论，用于非马克维亚量子过程的精确描述
Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
论文作者
论文摘要
我们开发一个精确的框架来描述开放量子系统的非马克维亚动力学，该量子系统与通过广义光谱密度函数建模的环境相互作用。该方法依赖于将初始系统映射到辅助配置上，该系统包括原始的开放系统，耦合到少量离散模式，而该系统又依次将其耦合到独立的Markovian储层。基于离散模式与光谱密度函数的极线之间的连接，我们展示了如何使用离散模式扩展系统的方式，可以在放大的开放系统中完全包含非纳克维亚效应，该系统的动力学由精确的lindblad Master方程控制。最初，我们将此结果应用于伪模方法的概括[B. M. Garraway，物理。 Rev. A 55，2290（1997）]在光谱密度函数具有Lorentzian结构的情况下。对于许多其他类型的光谱密度函数，我们扩展了证明，以证明可以使用离散模式进行物理建模的开放系统动力学，这些模式接纳了与系统的非热耦合，并且在这种情况下，确定等效的主方程不再是lindblad形式。对于涉及两种离散模式的应用，我们演示了如何使用伪模方法的技术在主方程的病理和林布拉德形式之间转换。
We develop an exact framework to describe the non-Markovian dynamics of an open quantum system interacting with an environment modeled by a generalized spectral density function. The approach relies on mapping the initial system onto an auxiliary configuration, comprising the original open system coupled to a small number of discrete modes, which in turn are each coupled to an independent Markovian reservoir. Based on the connection between the discrete modes and the poles of the spectral density function, we show how expanding the system using the discrete modes allows for the full inclusion non-Markovian effects within an enlarged open system whose dynamics is governed by an exact Lindblad master equation. Initially we apply this result to obtain a generalization of the pseudomode method [B. M. Garraway, Phys. Rev. A 55, 2290 (1997)] in cases where the spectral density function has a Lorentzian structure. For many other types of spectral density function, we extend our proof to show that an open system dynamics may be modeled physically using discrete modes which admit a non-Hermitian coupling to the system, and for such cases determine the equivalent master equation to no longer be of Lindblad form. For applications involving two discrete modes, we demonstrate how to convert between pathological and Lindblad forms of the master equation using the techniques of the pseudomode method.
