Quantum theory for nonlinear optical effects in the ultra-strong light-matter coupling regime

Fuente: arXiv
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Autori principali: Krieguer, Thomas, Todorov, Yanko
Natura: Preprint
Pubblicazione: 2024
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author Krieguer, Thomas
Todorov, Yanko
author_facet Krieguer, Thomas
Todorov, Yanko
contents We present a microscopic quantum theory for nonlinear optical phenomena in semiconductor quantum well heterostructures operating in the regime of ultra-strong light matter coupling regime. This work extends the Power-Zienau-Wooley (PZW) formulation of quantum electrodynamics to account for nonlinear interactions based on a fully fermionic approach, without resorting to any bosonization approximation. It provides a unified description of the microcavity and the local field enhancement effects on the nonlinear optical response, thus encompassing the phenomena known as epsilon near zero (ENZ) effect. In particular, our theory describes the impact of the light-matter coupled states on the high frequency generation process, relevant for recent experimental investigations with polaritonic metasurfaces. We unveil the limitations of traditional single-particle approaches and propose novel design principles to optimize nonlinear conversion efficiencies in dense, microcavity-coupled electronic systems. The theoretical framework developed here provides an efficient tool for the development of advanced quantum optical applications in the mid-infrared and terahertz spectral domains. Furthermore, it establishes a foundation for exploring the quantum properties of the ultra-strong light-matter regime through frequency-converted polariton states.
format Preprint
id arxiv_https___arxiv_org_abs_2412_08297
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum theory for nonlinear optical effects in the ultra-strong light-matter coupling regime
Krieguer, Thomas
Todorov, Yanko
Optics
Other Condensed Matter
Quantum Physics
We present a microscopic quantum theory for nonlinear optical phenomena in semiconductor quantum well heterostructures operating in the regime of ultra-strong light matter coupling regime. This work extends the Power-Zienau-Wooley (PZW) formulation of quantum electrodynamics to account for nonlinear interactions based on a fully fermionic approach, without resorting to any bosonization approximation. It provides a unified description of the microcavity and the local field enhancement effects on the nonlinear optical response, thus encompassing the phenomena known as epsilon near zero (ENZ) effect. In particular, our theory describes the impact of the light-matter coupled states on the high frequency generation process, relevant for recent experimental investigations with polaritonic metasurfaces. We unveil the limitations of traditional single-particle approaches and propose novel design principles to optimize nonlinear conversion efficiencies in dense, microcavity-coupled electronic systems. The theoretical framework developed here provides an efficient tool for the development of advanced quantum optical applications in the mid-infrared and terahertz spectral domains. Furthermore, it establishes a foundation for exploring the quantum properties of the ultra-strong light-matter regime through frequency-converted polariton states.
title Quantum theory for nonlinear optical effects in the ultra-strong light-matter coupling regime
topic Optics
Other Condensed Matter
Quantum Physics
url https://arxiv.org/abs/2412.08297