Dynamical mean-field study of a photon-mediated ferroelectric phase transition

Abstract

The interplay of light and matter gives rise to intriguing cooperative effects in quantum many-body systems. This is even true in thermal equilibrium, where the electromagnetic field can hybridize with collective modes of matter, and virtual photons can induce interactions in the solid. Here, we show how these light-mediated interactions can be treated using the dynamical mean-field theory formalism. We consider a minimal model of a two-dimensional material that couples to a surface plasmon polariton mode of a metal-dielectric interface. Within the mean-field approximation, the system exhibits a ferroelectric phase transition that is unaffected by the light-matter coupling. Bosonic dynamical mean-field theory provides a more accurate description and reveals that the photon-mediated interactions enhance the ferroelectric order and stabilize the ferroelectric phase.

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• Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths
• Equilibrium Parametric Amplification in Raman-Cavity Hybrids
• Cavity-enhanced Kondo effect
• Electrostatic nature of cavity-mediated interactions between low-energy matter excitations
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• General theory of cavity-mediated interactions between low-energy matter excitations
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