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Mesoscopic mean-field theory for spin-boson chains in quantum optical systems
journal contribution
posted on 2023-06-08, 22:39 authored by Pedro Nevado, Diego PorrasWe 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?ß) 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.
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Publication status
- Published
File Version
- Accepted version
Journal
European Physical Journal - Special TopicsISSN
1951-6355Publisher
EDP SciencesExternal DOI
Issue
1Volume
217Page range
29-41Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-09-30First Open Access (FOA) Date
2015-09-30First Compliant Deposit (FCD) Date
2015-09-30Usage metrics
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