基于优化有效势的量子电动力学密度泛函理论中的耗散和自发发射：概念研究的证明
Dissipation and spontaneous emission in quantum electrodynamical density functional theory based on optimized effective potential: A proof of concept study
摘要：
将量子电动力学密度泛函理论（QEDFT）中的优化有效势（OEP）形式推广到光子模连续分布的情形，并研究了它对电子与有耗腔光子相互作用系统耗散动力学的适用性.具体来说，我们测试这种技术是否能够捕获的量子特征的电子-光子相互作用的自发发射和相应的能量转移从电子到腔光子。为此，我们分析了一个离散的三个网站系统与一个电子耦合到腔的光子，这，事实上，是一个极小模型允许消除经典辐射和相应的能量损失，但仍然有非平凡的密度动力学。通过考虑两种典型的光子模谱密度，模拟（i）具有洛伦兹展宽的光子峰的损耗腔和（ii）欧姆浴，以及几种典型的动力学机制，我们发现OEP-QEDFT表现出良好的定性和定量性能，特别是在耗散由单光子过程主导的情况下。
英文摘要：
We generalize the optimized effective potential (OEP) formalism in the quantum electrodynamical density functional theory (QEDFT) to the case of continuous distribution of photon modes, and study its applicability to dissipative dynamics of electron systems interacting with photons of lossy cavities. Specifically, we test whether this technique is capable of capturing the quantum features of electron-photon interaction related to spontaneous emission and the corresponding energy transfer from the electrons to cavity photons. For this purpose, we analyze a discrete three-site system with one electron coupled to photons of the cavity, which, in fact, is a minimal model allowing to eliminate classical radiation and the corresponding energy loss, but still have nontrivial density dynamics. By considering two typical spectral densities of photon modes, modeling (i) lossy cavity with Lorentzian broadening of photon peaks, and (ii) the Ohmic bath, and several representative dynamical regimes, we find that OEP-QEDFT demonstrates a good qualitative and quantitative performance, especially in the case when the disspation is dominated by one-photon processes.
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