Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model
We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii–Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) ad...
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| Veröffentlicht in: | Chinese physics B 2023-11, Vol.32 (10), p.100303-229 |
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| creator | Li, Yue Fang, Panpan Wang, Zhe Zhang, Panpan Xu, Yuliang Kong, Xiangmu |
| description | We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii–Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) adding the DM interaction suddenly and (ii) rotating the spins around
x
axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time. |
| doi_str_mv | 10.1088/1674-1056/ace15c |
| format | Article |
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x
axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time.</description><identifier>ISSN: 1674-1056</identifier><identifier>EISSN: 2058-3834</identifier><identifier>DOI: 10.1088/1674-1056/ace15c</identifier><language>eng</language><publisher>Chinese Physical Society and IOP Publishing Ltd</publisher><subject>quantum entanglement ; quantum phase transition ; quantum quench ; quantum renormalization group</subject><ispartof>Chinese physics B, 2023-11, Vol.32 (10), p.100303-229</ispartof><rights>2023 Chinese Physical Society and IOP Publishing Ltd</rights><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c312t-492e0c774ac50196258433a1d9d128697f9abf4ba65b63853fcec284a39a427b3</citedby><cites>FETCH-LOGICAL-c312t-492e0c774ac50196258433a1d9d128697f9abf4ba65b63853fcec284a39a427b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.wanfangdata.com.cn/images/PeriodicalImages/zgwl-e/zgwl-e.jpg</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1674-1056/ace15c/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,780,784,27924,27925,53846</link.rule.ids></links><search><creatorcontrib>Li, Yue</creatorcontrib><creatorcontrib>Fang, Panpan</creatorcontrib><creatorcontrib>Wang, Zhe</creatorcontrib><creatorcontrib>Zhang, Panpan</creatorcontrib><creatorcontrib>Xu, Yuliang</creatorcontrib><creatorcontrib>Kong, Xiangmu</creatorcontrib><title>Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model</title><title>Chinese physics B</title><addtitle>Chin. Phys. B</addtitle><description>We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii–Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) adding the DM interaction suddenly and (ii) rotating the spins around
x
axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time.</description><subject>quantum entanglement</subject><subject>quantum phase transition</subject><subject>quantum quench</subject><subject>quantum renormalization group</subject><issn>1674-1056</issn><issn>2058-3834</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kL1PwzAQxS0EEqWwM3pjIdTfcUZUlQ-pEgMwW45jB1eJXeJUVfnrcRUEE9OddL_37u4BcI3RHUZSLrAoWYERFwttLObmBMwI4rKgkrJTMPsdn4OLlDYICYwInYHXlXPWjAlGBz93Ooy7PlcbzAeMAdow6tB2ts8NbA5B994k6APMoHd2GGKv22BHb-Bz8qGFfWxsdwnOnO6Svfqpc_D-sHpbPhXrl8fn5f26MBSTsWAVsciUJdOGI1wJwiWjVOOmajCRoipdpWvHai14Lajk1BlriGSaVpqRsqZzcDP57nVw-U61ibsh5I3qq913ypL8IUaI8EyiiTRDTGmwTm0H3-vhoDBSx_jUMR91zEdN8WXJ7STxcftn_C_-DeLdcYM</recordid><startdate>20231101</startdate><enddate>20231101</enddate><creator>Li, Yue</creator><creator>Fang, Panpan</creator><creator>Wang, Zhe</creator><creator>Zhang, Panpan</creator><creator>Xu, Yuliang</creator><creator>Kong, Xiangmu</creator><general>Chinese Physical Society and IOP Publishing Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20231101</creationdate><title>Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model</title><author>Li, Yue ; Fang, Panpan ; Wang, Zhe ; Zhang, Panpan ; Xu, Yuliang ; Kong, Xiangmu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c312t-492e0c774ac50196258433a1d9d128697f9abf4ba65b63853fcec284a39a427b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>quantum entanglement</topic><topic>quantum phase transition</topic><topic>quantum quench</topic><topic>quantum renormalization group</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Yue</creatorcontrib><creatorcontrib>Fang, Panpan</creatorcontrib><creatorcontrib>Wang, Zhe</creatorcontrib><creatorcontrib>Zhang, Panpan</creatorcontrib><creatorcontrib>Xu, Yuliang</creatorcontrib><creatorcontrib>Kong, Xiangmu</creatorcontrib><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Chinese physics B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Yue</au><au>Fang, Panpan</au><au>Wang, Zhe</au><au>Zhang, Panpan</au><au>Xu, Yuliang</au><au>Kong, Xiangmu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model</atitle><jtitle>Chinese physics B</jtitle><addtitle>Chin. Phys. B</addtitle><date>2023-11-01</date><risdate>2023</risdate><volume>32</volume><issue>10</issue><spage>100303</spage><epage>229</epage><pages>100303-229</pages><issn>1674-1056</issn><eissn>2058-3834</eissn><abstract>We study the relationship between quench dynamics of entanglement and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii–Moriya (DM) interaction by using the quantum renormalization-group method and the definition of negativity. Two types of quench protocols (i) adding the DM interaction suddenly and (ii) rotating the spins around
x
axis are considered to drive the dynamics of the system, respectively. By comparing the behaviors of entanglement in both types of quench protocols, the effects of quench on dynamics of entanglement are studied. It is found that there is the same characteristic time at which the negativity firstly reaches its maximum although the system shows different dynamical behaviors. Especially, the characteristic time can accurately reflect the quantum phase transition from antiferromagnetic to saturated chiral phases in the system. In addition, the correlation length exponent can be obtained by exploring the nonanalytic and scaling behaviors of the derivative of the characteristic time.</abstract><pub>Chinese Physical Society and IOP Publishing Ltd</pub><doi>10.1088/1674-1056/ace15c</doi><tpages>6</tpages></addata></record> |
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| subjects | quantum entanglement quantum phase transition quantum quench quantum renormalization group |
| title | Effects of quantum quench on entanglement dynamics in antiferromagnetic Ising model |
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