标题： 扩展耗散理论及其在原子吸附-石墨烯复合体系中的应用 显示英文标题

标题： Extended dissipaton theory with application to adatom-graphene composite

摘要： 在本文中，我们提出了扩展耗散子理论，包括耗散子运动方程形式和等效的嵌入耗散子量子主方程。 这些是精确的、非马尔可夫的和非微扰的理论，能够处理不仅限于线性还包括二次环境耦合的情况。 这些情况在各种强关联电子系统中很常见，包括介观纳米器件和超导体。 作为演示，我们将该理论应用于模拟石墨烯基底上吸附原子的谱函数。 我们分析了在石墨烯基底存在下的谱峰，并将其与传统金属环境中的结果进行比较。 吸附原子的谱函数揭示了由石墨烯能带结构引起的复杂行为。 显示英文摘要

摘要： In this paper, we present the extended dissipaton theory, including the dissipaton-equation-of-motion formalism and the equivalent dissipaton-embedded quantum master equation. These are exact, non-Markovian, and non-perturbative theories, capable of handling not only linear but also quadratic environmental couplings. These scenarios are prevalent in a variety of strongly correlated electronic systems, including mesoscopic nanodevices and superconductors. As a demonstration, we apply the present theory to simulate the spectral functions of an adatom on a graphene substrate. We analyze the spectral peaks in the presence of the graphene substrate and compare them to those obtained in conventional metal environments. The adatom's spectral functions reveal intricate behaviors arising from the band structure of graphene.