High-Harmonic Gereration with quantized fields: Minimal coupling of Pauli Spinors to quantized electromagnetic fields

Interaction between classical light and matter lies at the heart of a broad range of applications, such as the generation of spatially and temporally coherent ultaviolet light using the technique of high harmonic generation(HHG)[1]. The semi-classical treatment of HHG is, however, not able to capture the quantum features of light. In the present work, we consider Pauli spinors minimally coupled to quantized electromagnetic fields and investigate HHG with quantized fields. In this talk we will present a numerical implementation of the Pauli-Fierz Hamiltonian and first results for one-dimensional model systems and highlight differences to the usual semi-classical treatment.
[1] N. Tancogne-Dejean and A. Rubio, Sci. Adv. 4, eaao5207 (2018)