Renormalized photon propagator in quantum electrodynamics of plasmonic cavities
Cavity quantum electrodynamics (cQED) is a captivating field of optical physics that explores the interactions between light and matter and is particularly fascinating in the field of ultrastrong coupling. First, considering the hybridization of electromagnetic cavity (EC) modes and surface plasmon...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/add496 |
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| author | Marco Vallone |
| author_facet | Marco Vallone |
| author_sort | Marco Vallone |
| collection | DOAJ |
| description | Cavity quantum electrodynamics (cQED) is a captivating field of optical physics that explores the interactions between light and matter and is particularly fascinating in the field of ultrastrong coupling. First, considering the hybridization of electromagnetic cavity (EC) modes and surface plasmon polaritons (SPPs) in a resonant cavity, we show that classical Lagrangian electrodynamics and cQED lead to the same expressions for frequency dispersion when mode dissipation and system-bath interactions are neglected. We then expand the photon propagator to a Dyson series and derive a novel non-perturbative expression for the frequency dispersion of the hybrid modes, which is equivalent to the cQED result but has a richer content. In this context, it is shown that the SPP self-interaction generates a positive self-energy that renormalizes the hybrid SPP-EC eigenfrequencies and is responsible for the well-known blue-shift of the hybrid modes, an aspect that was previously hidden in the known expressions for frequency dispersion. |
| format | Article |
| id | doaj-art-a5f4cff8732745f98e2189554b0649cf |
| institution | OA Journals |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-a5f4cff8732745f98e2189554b0649cf2025-08-20T02:06:04ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127606410210.1088/1367-2630/add496Renormalized photon propagator in quantum electrodynamics of plasmonic cavitiesMarco Vallone0https://orcid.org/0000-0003-3392-1810Dipartimento di Elettronica e Telecomunicazioni, Politecnico di Torino , corso Duca degli Abruzzi 24, 10129 Torino, ItalyCavity quantum electrodynamics (cQED) is a captivating field of optical physics that explores the interactions between light and matter and is particularly fascinating in the field of ultrastrong coupling. First, considering the hybridization of electromagnetic cavity (EC) modes and surface plasmon polaritons (SPPs) in a resonant cavity, we show that classical Lagrangian electrodynamics and cQED lead to the same expressions for frequency dispersion when mode dissipation and system-bath interactions are neglected. We then expand the photon propagator to a Dyson series and derive a novel non-perturbative expression for the frequency dispersion of the hybrid modes, which is equivalent to the cQED result but has a richer content. In this context, it is shown that the SPP self-interaction generates a positive self-energy that renormalizes the hybrid SPP-EC eigenfrequencies and is responsible for the well-known blue-shift of the hybrid modes, an aspect that was previously hidden in the known expressions for frequency dispersion.https://doi.org/10.1088/1367-2630/add496plasmonsgreen’s functionscavity quantum electrodynamicslagrangian densitycoupled oscillators |
| spellingShingle | Marco Vallone Renormalized photon propagator in quantum electrodynamics of plasmonic cavities New Journal of Physics plasmons green’s functions cavity quantum electrodynamics lagrangian density coupled oscillators |
| title | Renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| title_full | Renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| title_fullStr | Renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| title_full_unstemmed | Renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| title_short | Renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| title_sort | renormalized photon propagator in quantum electrodynamics of plasmonic cavities |
| topic | plasmons green’s functions cavity quantum electrodynamics lagrangian density coupled oscillators |
| url | https://doi.org/10.1088/1367-2630/add496 |
| work_keys_str_mv | AT marcovallone renormalizedphotonpropagatorinquantumelectrodynamicsofplasmoniccavities |