Orbital angular momentum uncertainty relations of entangled two-photon states
The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds...
Gespeichert in:
| Veröffentlicht in: | The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2021-08, Vol.75 (8), Article 226 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 8 |
| container_start_page | |
| container_title | The European physical journal. D, Atomic, molecular, and optical physics |
| container_volume | 75 |
| creator | Li, Wei Zhao, Shengmei |
| description | The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
Graphic abstract |
| doi_str_mv | 10.1140/epjd/s10053-021-00243-z |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2562249594</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2562249594</sourcerecordid><originalsourceid>FETCH-LOGICAL-c383t-f0c3ec68d383cbb3f920f32f9bf5ab7d01b612801ba7f605b93166ee4a6de1463</originalsourceid><addsrcrecordid>eNqFkEtLxDAUhYMoOI7-BgOu4-TVtF3K4AtGZqPrkLbJ2NImNUmRmV9vxoouXZ17ueecCx8A1wTfEsLxSo9dswoE44whTAnCmHKGDidgQTjjSOC8PP2dBT4HFyF0OLkyLhbgZeurNqoeKrubeuXh4AZt4zTAydbaR9XauIde9yq2zgboDEznZO51A-OnQ-O7i87CEFXU4RKcGdUHffWjS_D2cP-6fkKb7ePz-m6DalawiAyuma5F0aStripmSooNo6asTKaqvMGkEoQWSVRuBM6qkhEhtOZKNJpwwZbgZu4dvfuYdIiyc5O36aWkmaCUl1nJkyufXbV3IXht5OjbQfm9JFge2ckjOzmzk4md_GYnDylZzMmQEnan_V__f9Ev2l53ng</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2562249594</pqid></control><display><type>article</type><title>Orbital angular momentum uncertainty relations of entangled two-photon states</title><source>SpringerLink Journals - AutoHoldings</source><creator>Li, Wei ; Zhao, Shengmei</creator><creatorcontrib>Li, Wei ; Zhao, Shengmei</creatorcontrib><description>The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
Graphic abstract</description><identifier>ISSN: 1434-6060</identifier><identifier>EISSN: 1434-6079</identifier><identifier>DOI: 10.1140/epjd/s10053-021-00243-z</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Angular momentum ; Applications of Nonlinear Dynamics and Chaos Theory ; Atomic ; Centroids ; Entangled states ; Molecular ; Optical and Plasma Physics ; Particulate composites ; Photons ; Physical Chemistry ; Physics ; Physics and Astronomy ; Quantum entanglement ; Quantum Information Technology ; Quantum Physics ; Regular Article – Quantum Optics ; Spectroscopy/Spectrometry ; Spintronics ; Uncertainty</subject><ispartof>The European physical journal. D, Atomic, molecular, and optical physics, 2021-08, Vol.75 (8), Article 226</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-f0c3ec68d383cbb3f920f32f9bf5ab7d01b612801ba7f605b93166ee4a6de1463</citedby><cites>FETCH-LOGICAL-c383t-f0c3ec68d383cbb3f920f32f9bf5ab7d01b612801ba7f605b93166ee4a6de1463</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjd/s10053-021-00243-z$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjd/s10053-021-00243-z$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Li, Wei</creatorcontrib><creatorcontrib>Zhao, Shengmei</creatorcontrib><title>Orbital angular momentum uncertainty relations of entangled two-photon states</title><title>The European physical journal. D, Atomic, molecular, and optical physics</title><addtitle>Eur. Phys. J. D</addtitle><description>The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
Graphic abstract</description><subject>Angular momentum</subject><subject>Applications of Nonlinear Dynamics and Chaos Theory</subject><subject>Atomic</subject><subject>Centroids</subject><subject>Entangled states</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Particulate composites</subject><subject>Photons</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum entanglement</subject><subject>Quantum Information Technology</subject><subject>Quantum Physics</subject><subject>Regular Article – Quantum Optics</subject><subject>Spectroscopy/Spectrometry</subject><subject>Spintronics</subject><subject>Uncertainty</subject><issn>1434-6060</issn><issn>1434-6079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNqFkEtLxDAUhYMoOI7-BgOu4-TVtF3K4AtGZqPrkLbJ2NImNUmRmV9vxoouXZ17ueecCx8A1wTfEsLxSo9dswoE44whTAnCmHKGDidgQTjjSOC8PP2dBT4HFyF0OLkyLhbgZeurNqoeKrubeuXh4AZt4zTAydbaR9XauIde9yq2zgboDEznZO51A-OnQ-O7i87CEFXU4RKcGdUHffWjS_D2cP-6fkKb7ePz-m6DalawiAyuma5F0aStripmSooNo6asTKaqvMGkEoQWSVRuBM6qkhEhtOZKNJpwwZbgZu4dvfuYdIiyc5O36aWkmaCUl1nJkyufXbV3IXht5OjbQfm9JFge2ckjOzmzk4md_GYnDylZzMmQEnan_V__f9Ev2l53ng</recordid><startdate>20210801</startdate><enddate>20210801</enddate><creator>Li, Wei</creator><creator>Zhao, Shengmei</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20210801</creationdate><title>Orbital angular momentum uncertainty relations of entangled two-photon states</title><author>Li, Wei ; Zhao, Shengmei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-f0c3ec68d383cbb3f920f32f9bf5ab7d01b612801ba7f605b93166ee4a6de1463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Angular momentum</topic><topic>Applications of Nonlinear Dynamics and Chaos Theory</topic><topic>Atomic</topic><topic>Centroids</topic><topic>Entangled states</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Particulate composites</topic><topic>Photons</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum entanglement</topic><topic>Quantum Information Technology</topic><topic>Quantum Physics</topic><topic>Regular Article – Quantum Optics</topic><topic>Spectroscopy/Spectrometry</topic><topic>Spintronics</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Wei</creatorcontrib><creatorcontrib>Zhao, Shengmei</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Wei</au><au>Zhao, Shengmei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Orbital angular momentum uncertainty relations of entangled two-photon states</atitle><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle><stitle>Eur. Phys. J. D</stitle><date>2021-08-01</date><risdate>2021</risdate><volume>75</volume><issue>8</issue><artnum>226</artnum><issn>1434-6060</issn><eissn>1434-6079</eissn><abstract>The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
Graphic abstract</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjd/s10053-021-00243-z</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1434-6060 |
| ispartof | The European physical journal. D, Atomic, molecular, and optical physics, 2021-08, Vol.75 (8), Article 226 |
| issn | 1434-6060 1434-6079 |
| language | eng |
| recordid | cdi_proquest_journals_2562249594 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Angular momentum Applications of Nonlinear Dynamics and Chaos Theory Atomic Centroids Entangled states Molecular Optical and Plasma Physics Particulate composites Photons Physical Chemistry Physics Physics and Astronomy Quantum entanglement Quantum Information Technology Quantum Physics Regular Article – Quantum Optics Spectroscopy/Spectrometry Spintronics Uncertainty |
| title | Orbital angular momentum uncertainty relations of entangled two-photon states |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T16%3A32%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Orbital%20angular%20momentum%20uncertainty%20relations%20of%20entangled%20two-photon%20states&rft.jtitle=The%20European%20physical%20journal.%20D,%20Atomic,%20molecular,%20and%20optical%20physics&rft.au=Li,%20Wei&rft.date=2021-08-01&rft.volume=75&rft.issue=8&rft.artnum=226&rft.issn=1434-6060&rft.eissn=1434-6079&rft_id=info:doi/10.1140/epjd/s10053-021-00243-z&rft_dat=%3Cproquest_cross%3E2562249594%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2562249594&rft_id=info:pmid/&rfr_iscdi=true |