https://doi.org/10.1140/epjp/s13360-025-06249-5
Regular Article
Entangled atoms in a cavity with an electromagnetic field
1
Instituto Federal de Educação, Ciência e Tecnologia de Brasília, Universidade Aberta do Brasil, 71200-020, Brasília, DF, Brazil
2
Instituto de Física, Universidade do Estado do Rio de Janeiro, 20550-013, Rio de Janeiro, RJ, Brazil
3
Departamento de Ciências Naturais, Universidade Federal do Espírito Santo, 29932-540, São Mateus, ES, Brazil
4
Centro Brasileiro de Pesquisas Físicas/MCTI, 22290-180, Rio de Janeiro, RJ, Brazil
Received:
26
October
2024
Accepted:
22
March
2025
Published online:
21
April
2025
We consider a system consisting of two identical particles (‘atoms’), each approximated by a harmonic oscillator, which couples to an electromagnetic field, inside a perfectly reflecting spherical cavity. Differently from the scalar field ohmic case, which is usually considered in similar previous papers, such an electromagnetic environment is instead categorized as a supra-ohmic (or superohmic) one. Through the introduction of center-of-mass and relative-position coordinates and employing the formalism of dressed coordinates and states, we are able to study the time evolution of the entanglement of the atoms. This is done for both large and small cavities, in a nonperturbative fashion. For very large cavities, we find, as expected, an almost exponential decay in time, for both the concurrence and the negativity of the system, while for small ones, these quantities show an irregular oscillation of the entanglement of the atoms, but it does not cease to the exist (there is no sudden death).
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
