Light-matter correlations in Quantum Floquet engineering of cavity quantum materials

Fuente: arXiv
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Main Authors: Pérez-González, Beatriz, Platero, Gloria, Gómez-León, Álvaro
Format: Preprint
Published: 2023
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author Pérez-González, Beatriz
Platero, Gloria
Gómez-León, Álvaro
author_facet Pérez-González, Beatriz
Platero, Gloria
Gómez-León, Álvaro
contents Quantum Floquet engineering (QFE) seeks to generalize the control of quantum systems with classical external fields, widely known as Semi-Classical Floquet engineering (SCFE), to quantum fields. However, to faithfully capture the physics at arbitrary coupling, a gauge-invariant description of light-matter interaction in cavity-QED materials is required, which makes the Hamiltonian highly non-linear in photonic operators. We provide a non-perturbative truncation scheme of the Hamiltonian, which is valid or arbitrary coupling strength, and use it to investigate the role of light-matter correlations, which are absent in SCFE. We find that even in the high-frequency regime, light-matter correlations can be crucial, in particular for the topological properties of a system. As an example, we show that for a SSH chain coupled to a cavity, light-matter correlations break the original chiral symmetry of the chain, strongly affecting the robustness of its edge states. In addition, we show how light-matter correlations are imprinted in the photonic spectral function and discuss their relation with the topology of the bands.
format Preprint
id arxiv_https___arxiv_org_abs_2302_12290
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
Pérez-González, Beatriz
Platero, Gloria
Gómez-León, Álvaro
Mesoscale and Nanoscale Physics
Quantum Floquet engineering (QFE) seeks to generalize the control of quantum systems with classical external fields, widely known as Semi-Classical Floquet engineering (SCFE), to quantum fields. However, to faithfully capture the physics at arbitrary coupling, a gauge-invariant description of light-matter interaction in cavity-QED materials is required, which makes the Hamiltonian highly non-linear in photonic operators. We provide a non-perturbative truncation scheme of the Hamiltonian, which is valid or arbitrary coupling strength, and use it to investigate the role of light-matter correlations, which are absent in SCFE. We find that even in the high-frequency regime, light-matter correlations can be crucial, in particular for the topological properties of a system. As an example, we show that for a SSH chain coupled to a cavity, light-matter correlations break the original chiral symmetry of the chain, strongly affecting the robustness of its edge states. In addition, we show how light-matter correlations are imprinted in the photonic spectral function and discuss their relation with the topology of the bands.
title Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2302.12290