利用精确因子分解实现关联电子-光子态的光散射
Shedding Light on Correlated Electron-Photon States using the Exact Factorization
摘要：
扩展了精确因式分解的框架，并利用它来引入关联电子-光子系统的电子态。给出了考虑电子-光子关联的精确标量势和精确矢量势的形式定义。将这些势包含在非耦合电子系统的哈密顿量中，就得到了一个纯电子的薛定谔方程，它唯一地确定了完整的电子-光子系统的电子态。对于一维非对称双势阱与具有共振频率的单光子模的耦合，我们研究了精确标量势的性质。特别地，我们讨论了精确标量势的阶峰结构在描述电子激发态的光子辅助离域和极化激元压缩现象中的意义。此外，我们开发了一个解析近似的标量势，并演示了如何捕获的阶梯和峰值功能的确切标量势的建议的解析表达式。
英文摘要：
The Exact Factorization framework is extended and utilized to introduce the electronic-states of correlated electron-photon systems. The formal definitions of an exact scalar potential and an exact vector potential that account for the electron-photon correlation are given. Inclusion of these potentials to the Hamiltonian of the uncoupled electronic system leads to a purely electronic Schrödinger equation that uniquely determines the electronic states of the complete electron-photon system. For a one-dimensional asymmetric double-well potential coupled to a single photon mode with resonance frequency, we investigate the features of the exact scalar potential. In particular, we discuss the significance of the step-and-peak structure of the exact scalar potential in describing the phenomena of photon-assisted delocalization and polaritonic squeezing of the electronic excited-states. In addition, we develop an analytical approximation for the scalar potential and demonstrate how the step-and-peak features of the exact scalar potential are captured by the proposed analytical expression.
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