Cavity-induced charge transfer in periodic systems: length-gauge formalism

Abstract

We develop a length-gauge formalism for treating one-dimensional periodic lattice systems in the presence of a photon cavity inducing light-matter interaction. The purpose of the formalism is to remove mathematical ambiguities that occur when defining the position operator in the context of the Power-Zienau-Woolley Hamiltonian. We then use a diagrammatic approach to analyze perturbatively the interaction between an electronic quantum system and a photonic cavity mode of long wavelength. We illustrate the versatility of the formalism by studying the cavity-induced electric charge imbalance and polarization in the Rice-Mele model with broken inversion symmetry.

published version

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Cited by in corpus (6)

• Cavity engineering of solid-state materials without external driving
• Cavity-enhanced superconductivity via band engineering
• Quantum phase transitions and cat states in cavity-coupled quantum dots
• Bound polariton states in the Dicke-Ising model
• Schottky anomaly in a cavity-coupled double quantum well
• Magneto-nonlinear Hall effect in time-reversal breaking system