Vacuum-field-induced state mixing

By engineering the electromagnetic vacuum field, the induced Casimir-Polder shift (also known as Lamb shift) and spontaneous emission rates of individual atomic levels can be controlled. When the strength of these effects becomes comparable to the energy difference between two previously uncoupled a...

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Main Author: Diego Fernández de la Pradilla, Esteban Moreno, Johannes Feist
Format: Article
Language:English
Published: SciPost 2023-12-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.15.6.252
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author Diego Fernández de la Pradilla, Esteban Moreno, Johannes Feist
author_facet Diego Fernández de la Pradilla, Esteban Moreno, Johannes Feist
author_sort Diego Fernández de la Pradilla, Esteban Moreno, Johannes Feist
collection DOAJ
description By engineering the electromagnetic vacuum field, the induced Casimir-Polder shift (also known as Lamb shift) and spontaneous emission rates of individual atomic levels can be controlled. When the strength of these effects becomes comparable to the energy difference between two previously uncoupled atomic states, an environment-induced interaction between these states appears after tracing over the environment. This interaction has been previously studied for degenerate levels and simple geometries involving infinite, perfectly conducting half-spaces or free space. Here, we generalize these studies by developing a convenient description that permits the analysis of these non-diagonal perturbations to the atomic Hamiltonian in terms of an accurate non-Hermitian Hamiltonian. Applying this theory to a hydrogen atom close to a dielectric nanoparticle, we show strong vacuum-field-induced state mixing that leads to drastic modifications in both the energies and decay rates compared to conventional diagonal perturbation theory. In particular, contrary to the expected Purcell enhancement, we find a surprising decrease of decay rates within a considerable range of atom-nanoparticle separations. Furthermore, we quantify the large degree of mixing of the unperturbed eigenstates due to the non-diagonal perturbation. Our work opens new quantum state manipulation possibilities in emitters with closely spaced energy levels.
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spelling doaj.art-b080d5e86db7404c9820e21c95739d042023-12-22T16:10:13ZengSciPostSciPost Physics2542-46532023-12-0115625210.21468/SciPostPhys.15.6.252Vacuum-field-induced state mixingDiego Fernández de la Pradilla, Esteban Moreno, Johannes FeistBy engineering the electromagnetic vacuum field, the induced Casimir-Polder shift (also known as Lamb shift) and spontaneous emission rates of individual atomic levels can be controlled. When the strength of these effects becomes comparable to the energy difference between two previously uncoupled atomic states, an environment-induced interaction between these states appears after tracing over the environment. This interaction has been previously studied for degenerate levels and simple geometries involving infinite, perfectly conducting half-spaces or free space. Here, we generalize these studies by developing a convenient description that permits the analysis of these non-diagonal perturbations to the atomic Hamiltonian in terms of an accurate non-Hermitian Hamiltonian. Applying this theory to a hydrogen atom close to a dielectric nanoparticle, we show strong vacuum-field-induced state mixing that leads to drastic modifications in both the energies and decay rates compared to conventional diagonal perturbation theory. In particular, contrary to the expected Purcell enhancement, we find a surprising decrease of decay rates within a considerable range of atom-nanoparticle separations. Furthermore, we quantify the large degree of mixing of the unperturbed eigenstates due to the non-diagonal perturbation. Our work opens new quantum state manipulation possibilities in emitters with closely spaced energy levels.https://scipost.org/SciPostPhys.15.6.252
spellingShingle Diego Fernández de la Pradilla, Esteban Moreno, Johannes Feist
Vacuum-field-induced state mixing
SciPost Physics
title Vacuum-field-induced state mixing
title_full Vacuum-field-induced state mixing
title_fullStr Vacuum-field-induced state mixing
title_full_unstemmed Vacuum-field-induced state mixing
title_short Vacuum-field-induced state mixing
title_sort vacuum field induced state mixing
url https://scipost.org/SciPostPhys.15.6.252
work_keys_str_mv AT diegofernandezdelapradillaestebanmorenojohannesfeist vacuumfieldinducedstatemixing