论文标题

开放量子系统理论简介

Introduction to the theory of open quantum systems

论文作者

Szańkowski, Piotr

论文摘要

该手稿是最初在2022年春季/夏季学期的波兰科学院物理学院博士学校提供的一个学期研究生课程的演讲脚本的编辑和精致版本。该课程预计该课程只能从研究生级别的量子量子机制上提供基本知识。脚本本身在很大程度上是独立的,可以用作有关开放量子系统主题的教科书。本课程的程序基于一种新颖的方法来描述开放系统动力学的描述:显示了如何通过多组分的准故事过程来表示与系统的自由度如何。使用此表示形式,可以为系统的动态图构建超Quasi肿瘤(或超级量)的扩展 - 一种自然而然的参数化,可以为发展强大而实用的扰动理论的发展提供。因此,即使是经验丰富的研究人员,也可能会发现这种兴趣的手稿。

This manuscript is an edited and refined version of the lecture script for a one-semester graduate course given originally at the PhD school in the Institute of Physics of Polish Academy of Sciences in the Spring/Summer semester of 2022. The course expects from the student only a basic knowledge on graduate-level quantum mechanics. The script itself is largely self-contained and could be used as a textbook on the topic of open quantum systems. The program of this course is based on a novel approach to the description of the open system dynamics: It is showed how the environmental degrees of freedom coupled to the system can be represented by a multi-component quasi-stochastic process. Using this representation one constructs the super-quasi-cumulant (or super-qumulant) expansion for the system's dynamical map -- a parametrization that naturally lends itself for the development of a robust and practical perturbation theory. Thus, even an experienced researcher might find this manuscript of some interest.

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