Bound polariton states in the Dicke-Ising model
arXiv:2406.11957 · doi:10.1515/nanoph-2024-0568
Abstract
We 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.
arXiv commentSignificant changes with respect to the second version. It was formerly a letter accompanying a longer paper (arXiv:2406.11971v2). The letter was not accepted for publication and we have modified the manuscript into a paper focused on the main result of the former letter. Readers interested in the theoretical part of the former letter can read arXiv:2406.11971
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