Quantum entanglement of bound particles under free center of mass dispersion

On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spatial dimension bound by harmonic forces and havi...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Physica scripta 2012-06, Vol.85 (6), p.65002-6
Hauptverfasser:	Pinheiro, Fernanda, de Toledo Piza, A F R
Format:	Artikel
Sprache:	eng
Schlagworte:	Center of mass Dispersions Dynamic tests Dynamical systems Dynamics Entanglement Evolution Mathematical analysis
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	6
container_issue	6
container_start_page	65002
container_title	Physica scripta
container_volume	85
creator	Pinheiro, Fernanda de Toledo Piza, A F R
description	On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spatial dimension bound by harmonic forces and having its free center of mass initially localized in space in a minimum uncertainty wavepacket. The existence of such initial states in which the bound particles are not entangled is discussed. Galilean invariance of the system ensures that the dynamics of entanglement between the two particles is independent of the wavepacket mean momentum. In fact, as shown, it is driven by the dispersive center of mass free dynamics, and evolves in a time scale that depends on the interparticle interaction in an essential way.
doi_str_mv	10.1088/0031-8949/85/06/065002
format	Article
fullrecord	<record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1753505709</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1753505709</sourcerecordid><originalsourceid>FETCH-LOGICAL-c363t-6df00b4af2262330c26a72aefc73c7f224a9b54fd9f3d911d474b22fd05e4d353</originalsourceid><addsrcrecordid>eNqFkE1LxDAQhoMouK7-BenRg3Unn22Py_oJCyKo15C2yZKlbWrSIP57s1T2KgQyGZ53yDwIXWO4w1CWKwCK87Ji1arkKxDpcAByghaYAclZWYlTtDhC5-gihH0CBBHVAm3fohqm2Gd6mNSw63SfisyZrHZxaLNR-ck2nQ5ZemmfGa911iQk1QnqVQhZa8OofbBuuERnRnVBX_3dS_Tx-PC-ec63r08vm_U2b6igUy5aA1AzZUj6BKXQEKEKorRpCtoUqctUVXNm2srQtsK4ZQWrCTEtcM1ayukS3c5zw7ceYy1Hb3vlf6RTVt7bz7V0fidDlBgLmhZfopsZH737ijpMsreh0V2nBu1ikLjglAMvoEqomNHGuxC8NsfZGOTBtjyIlAeRsuQShJxtpyCZg9aNcu-iH5KA_0K_0AmBzA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1753505709</pqid></control><display><type>article</type><title>Quantum entanglement of bound particles under free center of mass dispersion</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><creator>Pinheiro, Fernanda ; de Toledo Piza, A F R</creator><creatorcontrib>Pinheiro, Fernanda ; de Toledo Piza, A F R</creatorcontrib><description>On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spatial dimension bound by harmonic forces and having its free center of mass initially localized in space in a minimum uncertainty wavepacket. The existence of such initial states in which the bound particles are not entangled is discussed. Galilean invariance of the system ensures that the dynamics of entanglement between the two particles is independent of the wavepacket mean momentum. In fact, as shown, it is driven by the dispersive center of mass free dynamics, and evolves in a time scale that depends on the interparticle interaction in an essential way.</description><identifier>ISSN: 0031-8949</identifier><identifier>ISSN: 1402-4896</identifier><identifier>EISSN: 1402-4896</identifier><identifier>DOI: 10.1088/0031-8949/85/06/065002</identifier><identifier>CODEN: PHSTBO</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>Center of mass ; Dispersions ; Dynamic tests ; Dynamical systems ; Dynamics ; Entanglement ; Evolution ; Mathematical analysis</subject><ispartof>Physica scripta, 2012-06, Vol.85 (6), p.65002-6</ispartof><rights>2012 The Royal Swedish Academy of Sciences</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c363t-6df00b4af2262330c26a72aefc73c7f224a9b54fd9f3d911d474b22fd05e4d353</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/0031-8949/85/06/065002/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>230,314,776,780,881,27901,27902,53821,53868</link.rule.ids><backlink>$$Uhttps://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-116300$$DView record from Swedish Publication Index$$Hfree_for_read</backlink></links><search><creatorcontrib>Pinheiro, Fernanda</creatorcontrib><creatorcontrib>de Toledo Piza, A F R</creatorcontrib><title>Quantum entanglement of bound particles under free center of mass dispersion</title><title>Physica scripta</title><addtitle>PhysScr</addtitle><addtitle>Phys. Scr</addtitle><description>On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spatial dimension bound by harmonic forces and having its free center of mass initially localized in space in a minimum uncertainty wavepacket. The existence of such initial states in which the bound particles are not entangled is discussed. Galilean invariance of the system ensures that the dynamics of entanglement between the two particles is independent of the wavepacket mean momentum. In fact, as shown, it is driven by the dispersive center of mass free dynamics, and evolves in a time scale that depends on the interparticle interaction in an essential way.</description><subject>Center of mass</subject><subject>Dispersions</subject><subject>Dynamic tests</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Entanglement</subject><subject>Evolution</subject><subject>Mathematical analysis</subject><issn>0031-8949</issn><issn>1402-4896</issn><issn>1402-4896</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LxDAQhoMouK7-BenRg3Unn22Py_oJCyKo15C2yZKlbWrSIP57s1T2KgQyGZ53yDwIXWO4w1CWKwCK87Ji1arkKxDpcAByghaYAclZWYlTtDhC5-gihH0CBBHVAm3fohqm2Gd6mNSw63SfisyZrHZxaLNR-ck2nQ5ZemmfGa911iQk1QnqVQhZa8OofbBuuERnRnVBX_3dS_Tx-PC-ec63r08vm_U2b6igUy5aA1AzZUj6BKXQEKEKorRpCtoUqctUVXNm2srQtsK4ZQWrCTEtcM1ayukS3c5zw7ceYy1Hb3vlf6RTVt7bz7V0fidDlBgLmhZfopsZH737ijpMsreh0V2nBu1ikLjglAMvoEqomNHGuxC8NsfZGOTBtjyIlAeRsuQShJxtpyCZg9aNcu-iH5KA_0K_0AmBzA</recordid><startdate>20120601</startdate><enddate>20120601</enddate><creator>Pinheiro, Fernanda</creator><creator>de Toledo Piza, A F R</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>ADTPV</scope><scope>AOWAS</scope><scope>DG7</scope></search><sort><creationdate>20120601</creationdate><title>Quantum entanglement of bound particles under free center of mass dispersion</title><author>Pinheiro, Fernanda ; de Toledo Piza, A F R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-6df00b4af2262330c26a72aefc73c7f224a9b54fd9f3d911d474b22fd05e4d353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Center of mass</topic><topic>Dispersions</topic><topic>Dynamic tests</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Entanglement</topic><topic>Evolution</topic><topic>Mathematical analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pinheiro, Fernanda</creatorcontrib><creatorcontrib>de Toledo Piza, A F R</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>SwePub</collection><collection>SwePub Articles</collection><collection>SWEPUB Stockholms universitet</collection><jtitle>Physica scripta</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pinheiro, Fernanda</au><au>de Toledo Piza, A F R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum entanglement of bound particles under free center of mass dispersion</atitle><jtitle>Physica scripta</jtitle><stitle>PhysScr</stitle><addtitle>Phys. Scr</addtitle><date>2012-06-01</date><risdate>2012</risdate><volume>85</volume><issue>6</issue><spage>65002</spage><epage>6</epage><pages>65002-6</pages><issn>0031-8949</issn><issn>1402-4896</issn><eissn>1402-4896</eissn><coden>PHSTBO</coden><abstract>On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spatial dimension bound by harmonic forces and having its free center of mass initially localized in space in a minimum uncertainty wavepacket. The existence of such initial states in which the bound particles are not entangled is discussed. Galilean invariance of the system ensures that the dynamics of entanglement between the two particles is independent of the wavepacket mean momentum. In fact, as shown, it is driven by the dispersive center of mass free dynamics, and evolves in a time scale that depends on the interparticle interaction in an essential way.</abstract><pub>IOP Publishing</pub><doi>10.1088/0031-8949/85/06/065002</doi><tpages>6</tpages><oa>free_for_read</oa></addata></record>
fulltext	fulltext
identifier	ISSN: 0031-8949
ispartof	Physica scripta, 2012-06, Vol.85 (6), p.65002-6
issn	0031-8949 1402-4896 1402-4896
language	eng
recordid	cdi_proquest_miscellaneous_1753505709
source	IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link
subjects	Center of mass Dispersions Dynamic tests Dynamical systems Dynamics Entanglement Evolution Mathematical analysis
title	Quantum entanglement of bound particles under free center of mass dispersion
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-02T00%3A11%3A47IST&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=Quantum%20entanglement%20of%20bound%20particles%20under%20free%20center%20of%20mass%20dispersion&rft.jtitle=Physica%20scripta&rft.au=Pinheiro,%20Fernanda&rft.date=2012-06-01&rft.volume=85&rft.issue=6&rft.spage=65002&rft.epage=6&rft.pages=65002-6&rft.issn=0031-8949&rft.eissn=1402-4896&rft.coden=PHSTBO&rft_id=info:doi/10.1088/0031-8949/85/06/065002&rft_dat=%3Cproquest_cross%3E1753505709%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=1753505709&rft_id=info:pmid/&rfr_iscdi=true