AI 中文总结
该研究发展了QED-GW和Bethe-Salpeter理论，揭示光学腔对分子电子自能的影响机制，定量分析了不同分子类型的腔诱导位移规律，为极化激元与激子相关研究提供了理论基准。
AI 中文摘要
电子自能是准粒子理论的核心，但光学腔如何影响电子自能仍不明确。我们采用偶极规范Pauli-Fierz哈密顿量和相干态QED Hartree-Fock参考态，研究单模腔中分子的这一问题。腔通过三个通道产生影响：参考轨道能量的静态偶极自能（DSE）位移、屏蔽相互作用的直接DSE增强，以及携带双线性电子-光子耦合的极化激元极点。我们将QED-GW电离势（IPs）和电子亲和势（EAs）与QED-HF得到的腔Δ方法梯级结果，以及相关波函数方法进行基准测试，在直接可比的情况下，腔诱导的位移在1 meV内一致。对于具有未束缚阴离子的闭壳层分子，GW系统高估腔诱导的IP红移，而EA位移的再现几乎达到定量水平，不过这并不意味着绝对EA的精度相当。对于具有束缚阴离子的离子分子，该顺序反转，与已发表的QED耦合簇结果一致。耦合和失谐扫描显示，误差主要为λ的二次方，且由DSE驱动而非共振。谱函数形成极化激元复制光电子发射边带，权重按λ²缩放。在Bethe-Salpeter方程所用的静态屏蔽相互作用中，裸光子交换抵消了直接相互作用中匹配的DSE贡献，而交换和极化激元屏蔽修正保留。它们对最低激发的净效应在所研究的分子中仅对氨明显。涉及未束缚阴离子的激子结合能强烈依赖于基组，因此应视为电子-空穴相互作用的诊断，而非基组收敛的分子量。
英文摘要
The electron self-energy is central to quasiparticle theory, yet how an optical cavity enters it remains unclear. We address this question for a molecule in a single-mode cavity using the dipole-gauge Pauli-Fierz Hamiltonian and a coherent-state QED Hartree-Fock reference. The cavity enters through three channels: the static dipole self-energy (DSE) shift of reference orbital energies, direct DSE augmentation of the screened interaction, and the polariton pole carrying the bilinear electron-photon coupling. We benchmark QED-$GW$ ionization potentials (IPs) and electron affinities (EAs) against a cavity $Δ$-method ladder from QED-HF to correlated wave-function methods, whose cavity-induced shifts agree within 1 meV where directly comparable. For closed-shell molecules with unbound anions, $GW$ systematically overestimates cavity-induced IP redshifts, whereas EA shifts are reproduced nearly quantitatively, although this does not imply comparable accuracy for absolute EAs. For ionic molecules with bound anions, this ordering reverses, consistent with published QED coupled-cluster results. Coupling and detuning scans show that the error is predominantly quadratic in $λ$ and DSE-driven rather than resonant. The spectral function develops a polariton-replica photoemission sideband with weight scaling as $λ^2$. In the static screened interaction used in the Bethe-Salpeter equation, bare-photon exchange cancels the matching DSE contribution to the direct interaction, while exchange and polariton-screening corrections remain. Their net effect on the lowest excitation is appreciable only for ammonia in the molecules studied. Exciton-binding energies involving unbound anions are strongly basis-dependent and should therefore be viewed as diagnostics of electron-hole interactions rather than basis-converged molecular quantities.
Comments26 pages, 9 figures
