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 a 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.
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21 November 2024
Research Article|
November 15 2024
General theory of cavity-mediated interactions between low-energy matter excitations
Special Collection:
Polaritonics for Next Generation Materials
Carlos J. Sánchez Martínez
;
Carlos J. Sánchez Martínez
(Conceptualization, Investigation, Writing – original draft)
1
Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
2
Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
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Frieder Lindel
;
Frieder Lindel
(Conceptualization, Investigation, Supervision)
1
Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
2
Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
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Francisco J. García-Vidal
;
Francisco J. García-Vidal
(Conceptualization, Investigation, Supervision)
1
Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
2
Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
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Johannes Feist
Johannes Feist
a)
(Conceptualization, Investigation, Supervision)
1
Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
2
Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid
, E-28049 Madrid, Spain
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
J. Chem. Phys. 161, 194303 (2024)
Article history
Received:
July 28 2024
Accepted:
October 28 2024
Citation
Carlos J. Sánchez Martínez, Frieder Lindel, Francisco J. García-Vidal, Johannes Feist; General theory of cavity-mediated interactions between low-energy matter excitations. J. Chem. Phys. 21 November 2024; 161 (19): 194303. https://doi.org/10.1063/5.0231058
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