Resonance interaction energy between two entangled atoms in a photonic bandgap environment

Abstract We consider the resonance interaction energy between two identical entangled atoms, where one is in the excited state and the other in the ground state. They interact with the quantum electromagnetic field in the vacuum state and are placed in a photonic-bandgap environment with a dispersio...

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Autores principales:	Valentina Notararigo, Roberto Passante, Lucia Rizzuto
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/409c5b173b0e45d7b73153e0bac27391
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spelling	oai:doaj.org-article:409c5b173b0e45d7b73153e0bac273912021-12-02T15:07:46ZResonance interaction energy between two entangled atoms in a photonic bandgap environment10.1038/s41598-018-23416-02045-2322https://doaj.org/article/409c5b173b0e45d7b73153e0bac273912018-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-23416-0https://doaj.org/toc/2045-2322Abstract We consider the resonance interaction energy between two identical entangled atoms, where one is in the excited state and the other in the ground state. They interact with the quantum electromagnetic field in the vacuum state and are placed in a photonic-bandgap environment with a dispersion relation quadratic near the gap edge and linear for low frequencies, while the atomic transition frequency is assumed to be inside the photonic gap and near its lower edge. This problem is strictly related to the coherent resonant energy transfer between atoms in external environments. The analysis involves both an isotropic three-dimensional model and the one-dimensional case. The resonance interaction asymptotically decays faster with distance compared to the free-space case, specifically as 1/r 2 compared to the 1/r free-space dependence in the three-dimensional case, and as 1/r compared to the oscillatory dependence in free space for the one-dimensional case. Nonetheless, the interaction energy remains significant and much stronger than dispersion interactions between atoms. On the other hand, spontaneous emission is strongly suppressed by the environment and the correlated state is thus preserved by the spontaneous-decay decoherence effects. We conclude that our configuration is suitable for observing the elusive quantum resonance interaction between entangled atoms.Valentina NotararigoRoberto PassanteLucia RizzutoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-11 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Valentina Notararigo Roberto Passante Lucia Rizzuto Resonance interaction energy between two entangled atoms in a photonic bandgap environment
description	Abstract We consider the resonance interaction energy between two identical entangled atoms, where one is in the excited state and the other in the ground state. They interact with the quantum electromagnetic field in the vacuum state and are placed in a photonic-bandgap environment with a dispersion relation quadratic near the gap edge and linear for low frequencies, while the atomic transition frequency is assumed to be inside the photonic gap and near its lower edge. This problem is strictly related to the coherent resonant energy transfer between atoms in external environments. The analysis involves both an isotropic three-dimensional model and the one-dimensional case. The resonance interaction asymptotically decays faster with distance compared to the free-space case, specifically as 1/r 2 compared to the 1/r free-space dependence in the three-dimensional case, and as 1/r compared to the oscillatory dependence in free space for the one-dimensional case. Nonetheless, the interaction energy remains significant and much stronger than dispersion interactions between atoms. On the other hand, spontaneous emission is strongly suppressed by the environment and the correlated state is thus preserved by the spontaneous-decay decoherence effects. We conclude that our configuration is suitable for observing the elusive quantum resonance interaction between entangled atoms.
format	article
author	Valentina Notararigo Roberto Passante Lucia Rizzuto
author_facet	Valentina Notararigo Roberto Passante Lucia Rizzuto
author_sort	Valentina Notararigo
title	Resonance interaction energy between two entangled atoms in a photonic bandgap environment
title_short	Resonance interaction energy between two entangled atoms in a photonic bandgap environment
title_full	Resonance interaction energy between two entangled atoms in a photonic bandgap environment
title_fullStr	Resonance interaction energy between two entangled atoms in a photonic bandgap environment
title_full_unstemmed	Resonance interaction energy between two entangled atoms in a photonic bandgap environment
title_sort	resonance interaction energy between two entangled atoms in a photonic bandgap environment
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/409c5b173b0e45d7b73153e0bac27391
work_keys_str_mv	AT valentinanotararigo resonanceinteractionenergybetweentwoentangledatomsinaphotonicbandgapenvironment AT robertopassante resonanceinteractionenergybetweentwoentangledatomsinaphotonicbandgapenvironment AT luciarizzuto resonanceinteractionenergybetweentwoentangledatomsinaphotonicbandgapenvironment
_version_	1718388379479965696

Resonance interaction energy between two entangled atoms in a photonic bandgap environment

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