物质系统与连续模式量子光子场相互作用的正规序微扰展开

中文摘要 AI 辅助

我们发展了一种正规序微扰展开方法，用于计算物质系统与一般连续模式光子场态相互作用的约化动力学。在该展开中，所有场关联函数自动正规序化，而自由演化则通过自发辐射进行修正。我们的正规序展开阐明了传统展开中非正规序关联项的物理意义。此外，在中等耦合强度下，正规序展开的收敛速度显著快于传统展开，从而可以将微扰展开的适用性扩展到更大的物质-光耦合强度。有趣的是，对于给定的m光子Fock态输入，正规序展开在2m阶精确截断。对于特殊类别的输入态，我们证明了正规序展开与相应的主方程一致。我们以两能级系统与相干态、m光子Fock态和猫态输入相互作用为例，对正规序展开进行了数值演示。

英文摘要

We develop a normal-ordered perturbative expansion method to compute the reduced dynamics of a matter system interacting with a general continuous-mode photon field state. In this expansion, all field correlation functions are automatically normal-ordered, while the free evolution is modified by spontaneous emission. Our normal-ordered expansion elucidates the physical meaning of non-normal-ordered correlation terms in the conventional expansion. Furthermore, under intermediate coupling strengths, the normal-ordered expansion converges significantly faster than the conventional expansion, allowing one to extend the applicability of perturbative expansion to much larger matter-light coupling strengths. Interestingly, given an $m$-photon Fock state input, the normal-ordered expansion truncates exactly at the $2m$-th order. For special classes of input states, we show the normal-ordered expansion is consistent with the corresponding master equations. We demonstrate the normal-ordered expansion numerically for a two-level system interacting with coherent state, $m$-photon Fock state, and cat state inputs.

发表机构

• University of California, Berkeley（加州大学伯克利分校）
• Kavli Energy Nanoscience Institute at Berkeley（伯克利卡弗里纳米能源研究所）

机构由 AI 辅助整理，请以论文原文为准。