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Mesoscopic mean-field theory for spin-boson chains in quantum optical systems

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posted on 2023-06-08, 22:39 authored by Pedro Nevado, Diego Porras
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?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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

European Physical Journal - Special Topics

ISSN

1951-6355

Publisher

EDP Sciences

Issue

1

Volume

217

Page range

29-41

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-09-30

First Open Access (FOA) Date

2015-09-30

First Compliant Deposit (FCD) Date

2015-09-30

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