General theory of cavity-mediated interactions between low-energy matter excitations

Fuente: arXiv
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Autori principali: Martínez, Carlos J. Sánchez, Lindel, Frieder, García-Vidal, Francisco J., Feist, Johannes
Natura: Preprint
Pubblicazione: 2024
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author Martínez, Carlos J. Sánchez
Lindel, Frieder
García-Vidal, Francisco J.
Feist, Johannes
author_facet Martínez, Carlos J. Sánchez
Lindel, Frieder
García-Vidal, Francisco J.
Feist, Johannes
contents The manipulation of low-energy matter properties such as superconductivity, ferromagnetism and ferroelectricity via cavity quantum electrodynamics engineering has been suggested as a way to enhance these many-body collective phenomena. In this work, we investigate the effective interactions between low-energy matter excitations induced by the off-resonant coupling with cavity electromagnetic modes. We extend previous work by going beyond the dipole approximation accounting for the full polarization and magnetization densities of matter. We further include the often neglected diamagnetic interaction and, for the cavity, we consider general linear absorbing media with possibly non-local and non-reciprocal response. We demonstrate that, even in this general scenario, the effective cavity-induced interactions between the matter degrees of freedom are of electrostatic and magnetostatic nature. This confirms the necessity of a multimode description for cavity engineering of matter systems where the low-energy assumption holds. Our findings provide a theoretical framework for studying the influence of general optical environments on extended low-energy matter excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19478
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle General theory of cavity-mediated interactions between low-energy matter excitations
Martínez, Carlos J. Sánchez
Lindel, Frieder
García-Vidal, Francisco J.
Feist, Johannes
Quantum Physics
Mesoscale and Nanoscale Physics
The manipulation of low-energy matter properties such as superconductivity, ferromagnetism and ferroelectricity via cavity quantum electrodynamics engineering has been suggested as a way to enhance these many-body collective phenomena. In this work, we investigate the effective interactions between low-energy matter excitations induced by the off-resonant coupling with cavity electromagnetic modes. We extend previous work by going beyond the dipole approximation accounting for the full polarization and magnetization densities of matter. We further include the often neglected diamagnetic interaction and, for the cavity, we consider general linear absorbing media with possibly non-local and non-reciprocal response. We demonstrate that, even in this general scenario, the effective cavity-induced interactions between the matter degrees of freedom are of electrostatic and magnetostatic nature. This confirms the necessity of a multimode description for cavity engineering of matter systems where the low-energy assumption holds. Our findings provide a theoretical framework for studying the influence of general optical environments on extended low-energy matter excitations.
title General theory of cavity-mediated interactions between low-energy matter excitations
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2407.19478