(Almost) Everything is a Dicke model -- Mapping non-superradiant correlated light-matter systems to the exactly solvable Dicke model

• URL: http://arxiv.org/abs/2402.15209v3
• Date: Thu, 2 May 2024 12:32:56 GMT
• Title: (Almost) Everything is a Dicke model -- Mapping non-superradiant correlated light-matter systems to the exactly solvable Dicke model
• Authors: Andreas Schellenberger, Kai Phillip Schmidt,
• Abstract summary: We investigate classes of interacting quantum spin systems in a single-mode cavity with a Dicke coupling. We map the relevant low-energy sector of a broad class of models onto the exactly solvable Dicke model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate classes of interacting quantum spin systems in a single-mode cavity with a Dicke coupling, as a paradigmatic example of strongly correlated light-matter systems. Coming from the limit of weak light-matter couplings and large number of matter entities, we map the relevant low-energy sector of a broad class of models in the non-superradiant phases onto the exactly solvable Dicke model. We apply the outcomes to the Dicke-Ising model as a paradigmatic example, in agreement with results obtained by mean-field theory. We further accompany and verify our findings with finite-size calculations, using exact diagonalization and the series expansion method pcst++.

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