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We generalize the optimized effective potential (OEP) formalism in thequantum electrodynamical density functional theory (QEDFT) to the case ofcontinuous distribution of photon modes, and study its applicability todissipative dynamics of electron systems interacting with photons of lossycavities. Specifically, we test whether this technique is capable of capturingthe quantum features of electron-photon interaction related to spontaneousemission and the corresponding energy transfer from the electrons to cavityphotons. For this purpose, we analyze a discrete three-site system with oneelectron coupled to photons of the cavity, which, in fact, is a minimal modelallowing to eliminate classical radiation and the corresponding energy loss,but still have nontrivial density dynamics. By considering two typical spectraldensities of photon modes, modeling (i) lossy cavity with Lorentzian broadeningof photon peaks, and (ii) the Ohmic bath, and several representative dynamicalregimes, we find that OEP-QEDFT demonstrates a good qualitative andquantitative performance, especially in the case when the disspation isdominated by one-photon processes.

physical review. b./physical review. b

Dissipation and spontaneous emission in quantum electrodynamical density  functional theory based on optimized effective potential: A proof of concept  study