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arXiv · 1809.10528

Conserving approximations in cavity quantum electrodynamics: Implications for density functional theory of electron-photon systems

I. V. Tokatly
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Abstract

By analyzing the many-body problem for non-relativistic electrons strongly coupled to photon modes of a microcavity I derive the exact momentum/force balance equation for cavity quantum electrodynamics. Implications of this equation for the electron self-energy and the exchange-correlation potential of quantum electrodynamic time-dependent density functional (QED-TDDFT) are discussed. In particular I generalize the concept of $Φ$-derivability to construct approximations which ensure the correct momentum balance. It is shown that a recently proposed optimized effective potential approximation for QED-TDDFT is conserving and its possible improvements are discussed.

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I. V. Tokatly. 2018-09-27. Conserving approximations in cavity quantum electrodynamics: Implications for density functional theory of electron-photon systems. https://doi.org/10.1103/physrevb.98.235123

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