<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04906021</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-14T08:21:14+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom</title>
            <author role="crp">
              <persName>
                <forename type="first">Maxime</forename>
                <surname>Federico</surname>
              </persName>
              <email type="md5">4375e91b1496b16028518885beeb2626</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">maxime-federico</idno>
              <idno type="idhal" notation="numeric">1260055</idno>
              <idno type="halauthorid" notation="string">2684034-1260055</idno>
              <idno type="IDREF">https://www.idref.fr/278609317</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5894-4659</idno>
              <affiliation ref="#struct-496957"/>
              <affiliation ref="#struct-554442"/>
              <affiliation ref="#struct-554513"/>
            </author>
            <author role="crp">
              <persName>
                <forename type="first">H</forename>
                <forename type="middle">R</forename>
                <surname>Jauslin</surname>
              </persName>
              <email type="md5">26c7dd4bc42f46a4082835b99b2519e4</email>
              <email type="domain">u-bourgogne.fr</email>
              <idno type="idhal" notation="numeric">1495035</idno>
              <idno type="halauthorid" notation="string">2936987-1495035</idno>
              <affiliation ref="#struct-496957"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Maxime</forename>
                <surname>Federico</surname>
              </persName>
              <email type="md5">4375e91b1496b16028518885beeb2626</email>
              <email type="domain">gmail.com</email>
            </editor>
            <funder ref="#projanr-69691"/>
            <funder ref="#projanr-43608"/>
            <funder ref="#projeurop-728262"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2025-01-22 12:25:53</date>
              <date type="whenModified">2026-02-05 03:24:47</date>
              <date type="whenReleased">2025-01-27 09:28:20</date>
              <date type="whenProduced">2024-12-12</date>
              <date type="whenEndEmbargoed">2025-01-22</date>
              <ref type="file" target="https://hal.science/hal-04906021v1/document">
                <date notBefore="2025-01-22"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-04906021v1/file/2403.13622v2.pdf" id="file-4906021-4260243">
                <date notBefore="2025-01-22"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2403.13622"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="1362215">
                <persName>
                  <forename>Maxime</forename>
                  <surname>Federico</surname>
                </persName>
                <email type="md5">4375e91b1496b16028518885beeb2626</email>
                <email type="domain">gmail.com</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04906021</idno>
            <idno type="halUri">https://hal.science/hal-04906021</idno>
            <idno type="halBibtex">federico:hal-04906021</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Physics A: Mathematical and Theoretical&lt;/i&gt;, 2024, 58 (1), pp.015304. &lt;a target="_blank" href="https://dx.doi.org/10.1088/1751-8121/ad97fa"&gt;&amp;#x27E8;10.1088/1751-8121/ad97fa&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Physics A: Mathematical and Theoretical, 2024, 58 (1), pp.015304. &amp;#x27E8;10.1088/1751-8121/ad97fa&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0 - Attribution<ref corresp="#file-4906021-4260243"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-BOURGOGNE">Université Bourgogne Europe</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-BM">Université de Technologie de Belfort-Montbeliard</idno>
            <idno type="stamp" n="ENST">Ecole Nationale Supérieure des Télécommunications</idno>
            <idno type="stamp" n="TELECOM-PARISTECH" corresp="PARISTECH">Télécom Paris</idno>
            <idno type="stamp" n="ICB" corresp="UNIV-BOURGOGNE">Laboratoire Interdisciplinaire Carnot de Bourgogne</idno>
            <idno type="stamp" n="OPENAIRE">OpenAIRE</idno>
            <idno type="stamp" n="UNIV-BM-THESE">Université de Technologie de Belfort-Montbeliard</idno>
            <idno type="stamp" n="LTCI" corresp="TELECOM-PARISTECH">Laboratoire Traitement et Communication de l'Information</idno>
            <idno type="stamp" n="COMELEC" corresp="TELECOM-PARISTECH">Département Communications et Electronique</idno>
            <idno type="stamp" n="GTO" corresp="TELECOM-PARISTECH">Equipe Télécommunications Optiques</idno>
            <idno type="stamp" n="IP_PARIS">Institut Polytechnique de Paris</idno>
            <idno type="stamp" n="INSTITUTS-TELECOM">composantes instituts telecom </idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="INSTITUT-MINES-TELECOM">Institut Mines Telecom</idno>
            <idno type="stamp" n="IP-PARIS-DEPARTEMENT-MATHEMATIQUES">Département de Mathèmatiques</idno>
            <idno type="stamp" n="IP-PARIS-MATHEMATIQUES">IP Paris Département de Mathématiques</idno>
            <idno type="stamp" n="IP-PARIS-INFORMATION-COMMUNICATION-ELECTRONIQUE">IP Paris Département d'Information, de Communication et d'Électronique</idno>
            <idno type="stamp" n="IP-PARIS-INFORMATIQUE-DONNEES-ET-IA">IP Paris Département d'Informatique, de Données et d'IA</idno>
            <idno type="stamp" n="ANR_QUANTIQUE">ANR QUANTIQUE</idno>
            <idno type="stamp" n="ANR_QUANTIQUE_1" corresp="ANR_QUANTIQUE">ANR_QUANTIQUE_1</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom</title>
                <author role="crp">
                  <persName>
                    <forename type="first">Maxime</forename>
                    <surname>Federico</surname>
                  </persName>
                  <email type="md5">4375e91b1496b16028518885beeb2626</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">maxime-federico</idno>
                  <idno type="idhal" notation="numeric">1260055</idno>
                  <idno type="halauthorid" notation="string">2684034-1260055</idno>
                  <idno type="IDREF">https://www.idref.fr/278609317</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5894-4659</idno>
                  <affiliation ref="#struct-496957"/>
                  <affiliation ref="#struct-554442"/>
                  <affiliation ref="#struct-554513"/>
                </author>
                <author role="crp">
                  <persName>
                    <forename type="first">H</forename>
                    <forename type="middle">R</forename>
                    <surname>Jauslin</surname>
                  </persName>
                  <email type="md5">26c7dd4bc42f46a4082835b99b2519e4</email>
                  <email type="domain">u-bourgogne.fr</email>
                  <idno type="idhal" notation="numeric">1495035</idno>
                  <idno type="halauthorid" notation="string">2936987-1495035</idno>
                  <affiliation ref="#struct-496957"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">16018</idno>
                <idno type="issn">1751-8113</idno>
                <idno type="eissn">1751-8121</idno>
                <title level="j">Journal of Physics A: Mathematical and Theoretical</title>
                <imprint>
                  <publisher>IOP Publishing</publisher>
                  <biblScope unit="volume">58</biblScope>
                  <biblScope unit="issue">1</biblScope>
                  <biblScope unit="pp">015304</biblScope>
                  <date type="datePub">2024-12-12</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2403.13622</idno>
              <idno type="doi">10.1088/1751-8121/ad97fa</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Rotating wave approximation</term>
                <term xml:lang="en">Nonlocality</term>
                <term xml:lang="en">Single photon</term>
                <term xml:lang="en">Spontaneous emission</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.qphy">Physics [physics]/Quantum Physics [quant-ph]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Abstract We analyze through the expectation value of the energy density the spatial nonlocality of single photons emitted by the spontaneous decay of a Hydrogen atom. By using a minimal coupling between the quantized electromagnetic field and the atom, we compute the state of the photon under the assumption that only a single-photon is produced. The calculations are thus performed in the subspace of single-photon states which is essentially equivalent to the rotating wave approximation. We obtain a characterization of the spatial decay of the energy density. We compute the asymptotic limit of large distances from the atom at each given time, and find an algebraic behavior of 1 / r 6 . This result confirms that the energy density of single-photon states is nonlocal and the algebraic decay is far from the maximal quasiexponential localization predicted by the theory.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-496957" status="OLD">
          <idno type="IdRef">161048978</idno>
          <idno type="ISNI">0000000099292445</idno>
          <idno type="RNSR">201220440V</idno>
          <idno type="ROR">https://ror.org/02b6c1039</idno>
          <orgName>Laboratoire Interdisciplinaire Carnot de Bourgogne</orgName>
          <orgName type="acronym">ICB</orgName>
          <date type="start">2017-01-01</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>Université de Bourgogne - 9 avenue Alain Savary - BP 47870 - 21078 Dijon Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://icb.u-bourgogne.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300261" type="direct"/>
            <relation active="#struct-300270" type="direct"/>
            <relation active="#struct-426438" type="direct"/>
            <relation name="UMR6303" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-554442" status="VALID">
          <orgName>Télécommunications Optiques</orgName>
          <orgName type="acronym">GTO</orgName>
          <date type="start">2019-02-22</date>
          <desc>
            <address>
              <addrLine>Télécom Paris 19 Place Marguerite Perey 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.telecom-paris.fr/fr/recherche/laboratoires/laboratoire-traitement-et-communication-de-linformation-ltci/les-equipes-de-recherche/telecommunications-optiques-gto</ref>
          </desc>
          <listRelation>
            <relation active="#struct-484335" type="direct"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation active="#struct-1048346" type="indirect"/>
            <relation active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="department" xml:id="struct-554513" status="VALID">
          <orgName>Département Communications &amp; Electronique</orgName>
          <orgName type="acronym">COMELEC</orgName>
          <date type="start">2019-02-25</date>
          <desc>
            <address>
              <addrLine>19 Place Marguerite Perey 91120 PALAISEAU</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.telecom-paris.fr/fr/recherche/laboratoires/laboratoire-traitement-et-communication-de-linformation-ltci/les-departements-denseignement-et-recherche</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300362" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300261" status="VALID">
          <orgName>Université de Technologie de Belfort-Montbeliard</orgName>
          <orgName type="acronym">UTBM</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300270" status="OLD">
          <idno type="IdRef">02819005X</idno>
          <idno type="ISNI">0000000122989313</idno>
          <idno type="ROR">https://ror.org/03k1bsr36</idno>
          <orgName>Université de Bourgogne</orgName>
          <orgName type="acronym">UB</orgName>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>Maison de l'université - Esplanade Érasme - BP 27877 - 21078 Dijon cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-bourgogne.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-426438" status="VALID">
          <idno type="IdRef">200716271</idno>
          <idno type="ISNI">0000 0004 4910 6615</idno>
          <idno type="ROR">https://ror.org/02dn7x778</idno>
          <orgName>Université Bourgogne Franche-Comté [COMUE]</orgName>
          <orgName type="acronym">UBFC</orgName>
          <date type="start">2015-04-01</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>32, avenue de l’observatoire25000 BESANCON</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ubfc.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-484335" status="VALID">
          <idno type="IdRef">162384270</idno>
          <idno type="ISNI">0000 0000 9194 9502</idno>
          <idno type="RNSR">200319327Z</idno>
          <idno type="ROR">https://ror.org/057er4c39</idno>
          <orgName>Laboratoire Traitement et Communication de l'Information</orgName>
          <orgName type="acronym">LTCI</orgName>
          <date type="start">2017-01-01</date>
          <desc>
            <address>
              <addrLine>Télécom Paris 19 Place Marguerite Perey 91120 PALAISEAU</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.telecom-paris.fr/fr/recherche/laboratoires/laboratoire-traitement-et-communication-de-linformation-ltci</ref>
          </desc>
          <listRelation>
            <relation active="#struct-302102" type="direct"/>
            <relation active="#struct-1048346" type="direct"/>
            <relation active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-302102" status="VALID">
          <idno type="IdRef">192427156</idno>
          <idno type="ISNI">000000012202567X</idno>
          <idno type="ROR">https://ror.org/025vp2923</idno>
          <idno type="Wikidata">Q27962533</idno>
          <orgName>Institut Mines-Télécom [Paris]</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2012-03-01</date>
          <desc>
            <address>
              <addrLine>19 Place Marguerite Perey, 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.imt.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-1048346" status="VALID">
          <idno type="IdRef">026375273</idno>
          <idno type="ISNI">0000 0001 2108 2779</idno>
          <idno type="ROR">https://ror.org/01naq7912</idno>
          <orgName>Télécom Paris</orgName>
          <date type="start">2019-06-12</date>
          <desc>
            <address>
              <addrLine>19 Place Marguerite Perey 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.telecom-paris.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-302102" type="direct"/>
            <relation active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300362" status="VALID">
          <idno type="ROR">https://ror.org/01naq7912</idno>
          <orgName>Télécom ParisTech</orgName>
          <date type="start">2008-01-01</date>
          <date type="end">2019-06-11</date>
          <desc>
            <address>
              <addrLine>46 rue Barrault 75634 Paris Cedex 13</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.telecom-paris.fr</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-69691" status="VALID">
          <idno type="anr">ANR-22-CMAS-0001</idno>
          <orgName>QuanTEdu-France</orgName>
          <desc>Quantum technologies: Education and training to fulfill the strategic skill needs of research and industry in France</desc>
          <date type="start">2022</date>
        </org>
        <org type="anrProject" xml:id="projanr-43608" status="VALID">
          <idno type="anr">ANR-17-CE40-0007</idno>
          <orgName>QUACO</orgName>
          <desc>Contrôle quantique : systèmes d'EDPs et applications à l'IRM</desc>
          <date type="start">2017</date>
        </org>
        <org type="europeanProject" xml:id="projeurop-728262" status="VALID">
          <idno type="number">101114043</idno>
          <idno type="program">HORIZON-CL4-2022-QUANTUM-04-SGA</idno>
          <idno type="call">HORIZON-CL4-2022-QUANTUM-04-SGA</idno>
          <orgName>QSNP</orgName>
          <desc>Quantum Secure Networks Partnership</desc>
          <date type="start">2023-03-01</date>
          <date type="end">2026-08-31</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>