论文标题
在任意光 - 物质耦合强度下的腔量子电动力学
Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
论文作者
论文摘要
众所周知，由于需要在每种耦合模式下具有许多激发的状态，因此众所周知，在强耦合处的量子光系统系统要具有挑战性。我们提出了一种非扰动方法，以分析所有相互作用强度下的光 - 物质相关性。我们方法的关键要素是单一转换，在极限相互作用成为主要能量尺度的极限下，在极限上实现了光和物质自由度的渐近脱钩。在变换的框架中，物质/光子希尔伯特空间的截断在更大的耦合时越来越恰当地得到很好的结合，从而使一个人能够系统地得出低能的有效模型，例如紧密结合的汉密尔顿人。我们通过将其应用于与晶体电势中的电子相关的混凝土模型和电偶极子与腔模式相互作用的混凝土模型来证明我们的方法的多功能性。还讨论了对空间变化的电磁模式的概括。
Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations at all interaction strengths. The key element of our approach is a unitary transformation that achieves asymptotic decoupling of light and matter degrees of freedom in the limit where light-matter interaction becomes the dominant energy scale. In the transformed frame, truncation of the matter/photon Hilbert space is increasingly well-justified at larger coupling, enabling one to systematically derive low-energy effective models, such as tight-binding Hamiltonians. We demonstrate the versatility of our approach by applying it to concrete models relevant to electrons in crystal potential and electric dipoles interacting with a cavity mode. A generalization to the case of spatially varying electromagnetic modes is also discussed.
