RT Journal Article T1 Mesoscopic mean-field theory for spin-boson chains in quantum optical systems A1 Nevado Serrano, Pedro A1 Porras Torres, Diego AB We present a theoretical description of a system of many spins strongly coupled to a bosonic chain. We rely on the use of a spin-wave theory describing the Gaussian fluctuations around the mean-field solution, and focus on spin-boson chains arising as a generalization of the Dicke Hamiltonian. Our model is motivated by experimental setups such as trapped ions, or atoms/qubits coupled to cavity arrays. This situation corresponds to the cooperative (E circle times beta) Jahn-Teller distortion studied in solid-state physics. However, the ability to tune the parameters of the model in quantum optical setups opens up a variety of novel intriguing situations. The main focus of this paper is to review the spin-wave theoretical description of this problem as well as to test the validity of mean-field theory. Our main result is that deviations from mean-field effects are determined by the interplay between magnetic order and mesoscopic cooperativity effects, being the latter strongly size-dependent. PB Springer Heidelberg SN 1951-6355 YR 2013 FD 2013-02 LK https://hdl.handle.net/20.500.14352/35601 UL https://hdl.handle.net/20.500.14352/35601 LA eng NO © Springer HeidelbergWe acknowledge QUITEMAD S2009-ESP-1594, FIS2009-10061, CAM-UCM/910758 and RyC Contract Y200200074, and COST action ”IOTA”. NO Ministerio de Ciencia e Innovación (MICINN) NO Comunidad de Madrid NO Comunidad de Madrid/Universidad Complutense de Madrid NO RyC NO COST DS Docta Complutense RD 7 abr 2025