Hedin equations in resonant micro-cavities

Abstract

With the improvement of the experimental techniques, many new phenomena where the photon degrees of freedom are involved have been discovered. Typical examples are the exciton-polariton quasi-particles, excitons strongly coupled to photons. A correct description of these systems requires a full account of the photon's dynamics, including the vector gauge degrees of freedom. In order to include this contribution in \emph{ab initio} many-body perturbation theories, here we present a generalization of the Hedin equations, originally derived for a many electron system with Coulomb interaction. These equations are now derived in order to take into account the strong coupling physics of the electrons and the \textit{transverse} photon's degrees of freedom.

References in corpus (9)

• Quantum fluids of light
• Exciton-polariton condensates
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Quantum Electrodynamical Density-Functional Theory: Bridging Quantum Optics and Electronic-Structure Theory
• Collective coherence in planar semiconductor microcavities
• Optimized Effective Potential for Quantum Electrodynamical Time-Dependent Density Functional Theory
• Charge induced coherence between intersubband plasmons in a quantum structure
• Saturation and bistability of defect-mode intersubband polaritons
• On aspects of self-consistency in the Dyson-Schwinger approach to QED and λ(ϕ^\star ϕ)^2 theories

Cited by in corpus (4)

• Quantum-Electrodynamical Time-Dependent Density Functional Theory. I. A Gaussian Atomic Basis Implementation
• Shedding Light on Correlated Electron-Photon States using the Exact Factorization
• Conserving approximations in cavity quantum electrodynamics: Implications for density functional theory of electron-photon systems
• Response Theory of the Electron-Phonon Coupling