Detecting topological order in a ground state wave function
A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave...
Gespeichert in:
Veröffentlicht in: | Physical review letters 2006-03, Vol.96 (11), p.110405-110405, Article 110405 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 110405 |
---|---|
container_issue | 11 |
container_start_page | 110405 |
container_title | Physical review letters |
container_volume | 96 |
creator | Levin, Michael Wen, Xiao-Gang |
description | A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the "topological entropy" which directly measures the total quantum dimension D= Sum(id2i). |
doi_str_mv | 10.1103/physrevlett.96.110405 |
format | Article |
fullrecord | <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_20777101</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>67852889</sourcerecordid><originalsourceid>FETCH-LOGICAL-c453t-79177d9cf0f5beee40ed6c7d6b5a232b2e306da3268668f2c32ccf8ccdc0d80d3</originalsourceid><addsrcrecordid>eNpFkF1LwzAUhoMobk5_glIQvOs8adqkxSuZnzBQRK9Dmpxula6pTTrZvzejA68OHJ73nJeHkEsKc0qB3Xbrnetx26D384LvdylkR2RKQRSxoDQ9JlMARuMCQEzImXPfAEATnp-SCeUcshzYlNw9oEft63YVedvZxq5qrZrI9gb7qG4jFa16O7Qmcl55jH7VFqNqaEPCtufkpFKNw4vDnJGvp8fPxUu8fHt-XdwvY51mzMeioEKYQldQZSUipoCGa2F4mamEJWWCDLhRLFTjPK8SzRKtq1xro8HkYNiMXI93rfO1dLoOjdfatm0oLhMQQlCggboZqa63PwM6Lze109g0qkU7OMlFniV5XgQwG0HdWxccVrLr643qd5KC3LuV78HtB26Xwa0suBzdhtzV4cFQbtD8pw4y2R8I1XiS</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>67852889</pqid></control><display><type>article</type><title>Detecting topological order in a ground state wave function</title><source>American Physical Society Journals</source><creator>Levin, Michael ; Wen, Xiao-Gang</creator><creatorcontrib>Levin, Michael ; Wen, Xiao-Gang</creatorcontrib><description>A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the "topological entropy" which directly measures the total quantum dimension D= Sum(id2i).</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/physrevlett.96.110405</identifier><identifier>PMID: 16605803</identifier><language>eng</language><publisher>United States</publisher><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; ENTROPY ; FERMIONS ; GROUND STATES ; QUANTUM ENTANGLEMENT ; QUANTUM MECHANICS ; TOPOLOGY ; WAVE FUNCTIONS</subject><ispartof>Physical review letters, 2006-03, Vol.96 (11), p.110405-110405, Article 110405</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c453t-79177d9cf0f5beee40ed6c7d6b5a232b2e306da3268668f2c32ccf8ccdc0d80d3</citedby><cites>FETCH-LOGICAL-c453t-79177d9cf0f5beee40ed6c7d6b5a232b2e306da3268668f2c32ccf8ccdc0d80d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,2874,2875,27923,27924</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/16605803$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/20777101$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Levin, Michael</creatorcontrib><creatorcontrib>Wen, Xiao-Gang</creatorcontrib><title>Detecting topological order in a ground state wave function</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the "topological entropy" which directly measures the total quantum dimension D= Sum(id2i).</description><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>ENTROPY</subject><subject>FERMIONS</subject><subject>GROUND STATES</subject><subject>QUANTUM ENTANGLEMENT</subject><subject>QUANTUM MECHANICS</subject><subject>TOPOLOGY</subject><subject>WAVE FUNCTIONS</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNpFkF1LwzAUhoMobk5_glIQvOs8adqkxSuZnzBQRK9Dmpxula6pTTrZvzejA68OHJ73nJeHkEsKc0qB3Xbrnetx26D384LvdylkR2RKQRSxoDQ9JlMARuMCQEzImXPfAEATnp-SCeUcshzYlNw9oEft63YVedvZxq5qrZrI9gb7qG4jFa16O7Qmcl55jH7VFqNqaEPCtufkpFKNw4vDnJGvp8fPxUu8fHt-XdwvY51mzMeioEKYQldQZSUipoCGa2F4mamEJWWCDLhRLFTjPK8SzRKtq1xro8HkYNiMXI93rfO1dLoOjdfatm0oLhMQQlCggboZqa63PwM6Lze109g0qkU7OMlFniV5XgQwG0HdWxccVrLr643qd5KC3LuV78HtB26Xwa0suBzdhtzV4cFQbtD8pw4y2R8I1XiS</recordid><startdate>20060324</startdate><enddate>20060324</enddate><creator>Levin, Michael</creator><creator>Wen, Xiao-Gang</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20060324</creationdate><title>Detecting topological order in a ground state wave function</title><author>Levin, Michael ; Wen, Xiao-Gang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c453t-79177d9cf0f5beee40ed6c7d6b5a232b2e306da3268668f2c32ccf8ccdc0d80d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>ENTROPY</topic><topic>FERMIONS</topic><topic>GROUND STATES</topic><topic>QUANTUM ENTANGLEMENT</topic><topic>QUANTUM MECHANICS</topic><topic>TOPOLOGY</topic><topic>WAVE FUNCTIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Levin, Michael</creatorcontrib><creatorcontrib>Wen, Xiao-Gang</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Levin, Michael</au><au>Wen, Xiao-Gang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Detecting topological order in a ground state wave function</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2006-03-24</date><risdate>2006</risdate><volume>96</volume><issue>11</issue><spage>110405</spage><epage>110405</epage><pages>110405-110405</pages><artnum>110405</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the "topological entropy" which directly measures the total quantum dimension D= Sum(id2i).</abstract><cop>United States</cop><pmid>16605803</pmid><doi>10.1103/physrevlett.96.110405</doi><tpages>1</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0031-9007 |
ispartof | Physical review letters, 2006-03, Vol.96 (11), p.110405-110405, Article 110405 |
issn | 0031-9007 1079-7114 |
language | eng |
recordid | cdi_osti_scitechconnect_20777101 |
source | American Physical Society Journals |
subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ENTROPY FERMIONS GROUND STATES QUANTUM ENTANGLEMENT QUANTUM MECHANICS TOPOLOGY WAVE FUNCTIONS |
title | Detecting topological order in a ground state wave function |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T07%3A55%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Detecting%20topological%20order%20in%20a%20ground%20state%20wave%20function&rft.jtitle=Physical%20review%20letters&rft.au=Levin,%20Michael&rft.date=2006-03-24&rft.volume=96&rft.issue=11&rft.spage=110405&rft.epage=110405&rft.pages=110405-110405&rft.artnum=110405&rft.issn=0031-9007&rft.eissn=1079-7114&rft_id=info:doi/10.1103/physrevlett.96.110405&rft_dat=%3Cproquest_osti_%3E67852889%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=67852889&rft_id=info:pmid/16605803&rfr_iscdi=true |