Time Evolution of the Neel State
A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2007-02 |
|---|---|
| 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 | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Soluyanov, Alexey A Zagoulaev, Serge N Abarenkov, Igor V |
| description | A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be considered as a superposition of such states. The exact equation for this superposition coefficients is developed. The possibility of the Neel state to be the eigenstate of a Hamiltonian is discussed. Several model Hamiltonians are examined, the well known ones and few novel Hamiltonians being considered. The time evolution of the Neel state in different models is studied with the help of Fock-Krylov method. |
| doi_str_mv | 10.48550/arxiv.0701067 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2078664420</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2078664420</sourcerecordid><originalsourceid>FETCH-proquest_journals_20786644203</originalsourceid><addsrcrecordid>eNqNyrsOgkAQQNGJiYlEaa03sQaH2Re9wVjZSE-2GCIEWWUX4udr4QdY3eJcgH2BuSq1xqOb3t2So8UCjV1BQlIWWamINpCG0CMiGUtaywRE3T1YVIsf5tj5UfhWxDuLK_MgbtFF3sG6dUPg9NctHM5Vfbpkz8m_Zg6x6f08jV9qCG1pjFKE8r_rA15EMhk</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2078664420</pqid></control><display><type>article</type><title>Time Evolution of the Neel State</title><source>Free E- Journals</source><creator>Soluyanov, Alexey A ; Zagoulaev, Serge N ; Abarenkov, Igor V</creator><creatorcontrib>Soluyanov, Alexey A ; Zagoulaev, Serge N ; Abarenkov, Igor V</creatorcontrib><description>A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be considered as a superposition of such states. The exact equation for this superposition coefficients is developed. The possibility of the Neel state to be the eigenstate of a Hamiltonian is discussed. Several model Hamiltonians are examined, the well known ones and few novel Hamiltonians being considered. The time evolution of the Neel state in different models is studied with the help of Fock-Krylov method.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0701067</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Eigenvectors ; Evolution ; Superposition (mathematics)</subject><ispartof>arXiv.org, 2007-02</ispartof><rights>Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at http://arxiv.org/abs/cond-mat/0701067.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>776,780,27902</link.rule.ids></links><search><creatorcontrib>Soluyanov, Alexey A</creatorcontrib><creatorcontrib>Zagoulaev, Serge N</creatorcontrib><creatorcontrib>Abarenkov, Igor V</creatorcontrib><title>Time Evolution of the Neel State</title><title>arXiv.org</title><description>A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be considered as a superposition of such states. The exact equation for this superposition coefficients is developed. The possibility of the Neel state to be the eigenstate of a Hamiltonian is discussed. Several model Hamiltonians are examined, the well known ones and few novel Hamiltonians being considered. The time evolution of the Neel state in different models is studied with the help of Fock-Krylov method.</description><subject>Eigenvectors</subject><subject>Evolution</subject><subject>Superposition (mathematics)</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNyrsOgkAQQNGJiYlEaa03sQaH2Re9wVjZSE-2GCIEWWUX4udr4QdY3eJcgH2BuSq1xqOb3t2So8UCjV1BQlIWWamINpCG0CMiGUtaywRE3T1YVIsf5tj5UfhWxDuLK_MgbtFF3sG6dUPg9NctHM5Vfbpkz8m_Zg6x6f08jV9qCG1pjFKE8r_rA15EMhk</recordid><startdate>20070202</startdate><enddate>20070202</enddate><creator>Soluyanov, Alexey A</creator><creator>Zagoulaev, Serge N</creator><creator>Abarenkov, Igor V</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20070202</creationdate><title>Time Evolution of the Neel State</title><author>Soluyanov, Alexey A ; Zagoulaev, Serge N ; Abarenkov, Igor V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20786644203</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Eigenvectors</topic><topic>Evolution</topic><topic>Superposition (mathematics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Soluyanov, Alexey A</creatorcontrib><creatorcontrib>Zagoulaev, Serge N</creatorcontrib><creatorcontrib>Abarenkov, Igor V</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Soluyanov, Alexey A</au><au>Zagoulaev, Serge N</au><au>Abarenkov, Igor V</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Time Evolution of the Neel State</atitle><jtitle>arXiv.org</jtitle><date>2007-02-02</date><risdate>2007</risdate><eissn>2331-8422</eissn><abstract>A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be considered as a superposition of such states. The exact equation for this superposition coefficients is developed. The possibility of the Neel state to be the eigenstate of a Hamiltonian is discussed. Several model Hamiltonians are examined, the well known ones and few novel Hamiltonians being considered. The time evolution of the Neel state in different models is studied with the help of Fock-Krylov method.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0701067</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2007-02 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2078664420 |
| source | Free E- Journals |
| subjects | Eigenvectors Evolution Superposition (mathematics) |
| title | Time Evolution of the Neel State |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-20T20%3A32%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Time%20Evolution%20of%20the%20Neel%20State&rft.jtitle=arXiv.org&rft.au=Soluyanov,%20Alexey%20A&rft.date=2007-02-02&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0701067&rft_dat=%3Cproquest%3E2078664420%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2078664420&rft_id=info:pmid/&rfr_iscdi=true |