000151197 001__ 151197 000151197 005__ 20251017144624.0 000151197 0247_ $$2doi$$a10.1515/nanoph-2024-0568 000151197 0248_ $$2sideral$$a143021 000151197 037__ $$aART-2025-143021 000151197 041__ $$aeng 000151197 100__ $$0(orcid)0000-0003-2995-6615$$aRomán-Roche, Juan$$uUniversidad de Zaragoza 000151197 245__ $$aBound polariton states in the Dicke–Ising model 000151197 260__ $$c2025 000151197 5060_ $$aAccess copy available to the general public$$fUnrestricted 000151197 5203_ $$aWe present a study of hybrid light–matter excitations in cavity QED materials using the Dicke–Ising model as a theoretical framework. Leveraging linear response theory, we derive the exact excitations of the system in the thermodynamic limit. Our results demonstrate that the cavity can localize spin excitations, leading to the formation of bound polaritons, where the cavity acts as an impurity of the two-excitation band, localizing spin-wave pairs around single-spin domains. We derive the condition for the existence of these bound states and discuss its satisfiability in different regimes. Finally, we show that these effects persist in finite systems using exact-diagonalization calculations. 000151197 536__ $$9info:eu-repo/grantAgreement/ES/AEI/CEX2023-001286-S$$9info:eu-repo/grantAgreement/ES/DGA/E09-17R-Q-MAD$$9info:eu-repo/grantAgreement/ES/MCIU/FPU20-07231$$9info:eu-repo/grantAgreement/EUR/MICINN/TED2021-131447B-C21 000151197 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000151197 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000151197 700__ $$aGómez-León, Álvaro 000151197 700__ $$0(orcid)0000-0001-6284-0521$$aLuis, Fernando 000151197 700__ $$0(orcid)0000-0003-4478-1948$$aZueco, David 000151197 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000151197 773__ $$g(2025), [12 pp.]$$pNanophotonics$$tNanophotonics$$x2192-8606 000151197 8564_ $$s1598056$$uhttps://zaguan.unizar.es/record/151197/files/texto_completo.pdf$$yVersión publicada 000151197 8564_ $$s3020669$$uhttps://zaguan.unizar.es/record/151197/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000151197 909CO $$ooai:zaguan.unizar.es:151197$$particulos$$pdriver 000151197 951__ $$a2025-10-17-14:23:05 000151197 980__ $$aARTICLE