Entanglement in alternating open chains of nuclear spins s = 1/2 with the XY Hamiltonian
Entanglement is studied in an open alternating chain of nuclear spins s = 1/2 with spin-spin couplings in an external magnetic field under the thermodynamic equilibrium conditions. A reduced density matrix has been calculated for an arbitrarily chosen spin pair. The entanglement of the spin pair has...
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| Veröffentlicht in: | JETP letters 2007-07, Vol.85 (10), p.519-523 |
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| container_title | JETP letters |
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| creator | Doronin, S. I. Pyrkov, A. N. Fel’dman, É. B. |
| description | Entanglement is studied in an open alternating chain of nuclear spins s = 1/2 with spin-spin couplings in an external magnetic field under the thermodynamic equilibrium conditions. A reduced density matrix has been calculated for an arbitrarily chosen spin pair. The entanglement of the spin pair has been estimated according to the Wootters criterion. The temperature at which an entangled state appears in a chosen pair has been determined. It has been shown that the numerical characteristics of the entanglement are oscillating functions of the position of the spin pair in the chain. |
| doi_str_mv | 10.1134/S0021364007100104 |
| format | Article |
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It has been shown that the numerical characteristics of the entanglement are oscillating functions of the position of the spin pair in the chain.</description><identifier>ISSN: 0021-3640</identifier><identifier>EISSN: 1090-6487</identifier><identifier>DOI: 10.1134/S0021364007100104</identifier><language>eng</language><publisher>New York: Springer Nature B.V</publisher><subject>Chain entanglement ; Chains ; Couplings ; Entangled states ; Entanglement ; Equilibrium conditions ; Thermodynamic equilibrium</subject><ispartof>JETP letters, 2007-07, Vol.85 (10), p.519-523</ispartof><rights>Pleiades Publishing, Ltd. 2007.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c273t-3f60244fcc946f88188f338841f916b63ed522043c415974dcadde6eadae57bd3</citedby><cites>FETCH-LOGICAL-c273t-3f60244fcc946f88188f338841f916b63ed522043c415974dcadde6eadae57bd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Doronin, S. I.</creatorcontrib><creatorcontrib>Pyrkov, A. N.</creatorcontrib><creatorcontrib>Fel’dman, É. B.</creatorcontrib><title>Entanglement in alternating open chains of nuclear spins s = 1/2 with the XY Hamiltonian</title><title>JETP letters</title><description>Entanglement is studied in an open alternating chain of nuclear spins s = 1/2 with spin-spin couplings in an external magnetic field under the thermodynamic equilibrium conditions. A reduced density matrix has been calculated for an arbitrarily chosen spin pair. The entanglement of the spin pair has been estimated according to the Wootters criterion. The temperature at which an entangled state appears in a chosen pair has been determined. It has been shown that the numerical characteristics of the entanglement are oscillating functions of the position of the spin pair in the chain.</description><subject>Chain entanglement</subject><subject>Chains</subject><subject>Couplings</subject><subject>Entangled states</subject><subject>Entanglement</subject><subject>Equilibrium conditions</subject><subject>Thermodynamic equilibrium</subject><issn>0021-3640</issn><issn>1090-6487</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNplkEFLwzAcxYMoOKcfwFvAc13-SZqmBw8yphMGHlSYp5KlyZrRpjXJEL-9LfPm6cF7Px68h9AtkHsAxhdvhFBgghNSACFA-BmaASlJJrgsztFsirMpv0RXMR5GBCQrZmi78kn5fWs64xN2Hqs2meBVcn6P-8F4rBvlfMS9xf6oW6MCjsNkRPyAYUHxt0sNTo3B20-8Vp1rU--d8tfowqo2mps_naOPp9X7cp1tXp9flo-bTNOCpYxZQSjnVuuSCyslSGkZk5KDLUHsBDN1TinhTHPIy4LXWtW1EUbVyuTFrmZzdHfqHUL_dTQxVYf-OA5oY0XFNJ7nvBwpOFE69DEGY6shuE6FnwpINR1Y_TuQ_QJG4GFv</recordid><startdate>20070701</startdate><enddate>20070701</enddate><creator>Doronin, S. I.</creator><creator>Pyrkov, A. N.</creator><creator>Fel’dman, É. B.</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20070701</creationdate><title>Entanglement in alternating open chains of nuclear spins s = 1/2 with the XY Hamiltonian</title><author>Doronin, S. I. ; Pyrkov, A. N. ; Fel’dman, É. B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c273t-3f60244fcc946f88188f338841f916b63ed522043c415974dcadde6eadae57bd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Chain entanglement</topic><topic>Chains</topic><topic>Couplings</topic><topic>Entangled states</topic><topic>Entanglement</topic><topic>Equilibrium conditions</topic><topic>Thermodynamic equilibrium</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Doronin, S. I.</creatorcontrib><creatorcontrib>Pyrkov, A. N.</creatorcontrib><creatorcontrib>Fel’dman, É. B.</creatorcontrib><collection>CrossRef</collection><jtitle>JETP letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Doronin, S. I.</au><au>Pyrkov, A. N.</au><au>Fel’dman, É. B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Entanglement in alternating open chains of nuclear spins s = 1/2 with the XY Hamiltonian</atitle><jtitle>JETP letters</jtitle><date>2007-07-01</date><risdate>2007</risdate><volume>85</volume><issue>10</issue><spage>519</spage><epage>523</epage><pages>519-523</pages><issn>0021-3640</issn><eissn>1090-6487</eissn><abstract>Entanglement is studied in an open alternating chain of nuclear spins s = 1/2 with spin-spin couplings in an external magnetic field under the thermodynamic equilibrium conditions. A reduced density matrix has been calculated for an arbitrarily chosen spin pair. The entanglement of the spin pair has been estimated according to the Wootters criterion. The temperature at which an entangled state appears in a chosen pair has been determined. It has been shown that the numerical characteristics of the entanglement are oscillating functions of the position of the spin pair in the chain.</abstract><cop>New York</cop><pub>Springer Nature B.V</pub><doi>10.1134/S0021364007100104</doi><tpages>5</tpages></addata></record> |
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| ispartof | JETP letters, 2007-07, Vol.85 (10), p.519-523 |
| issn | 0021-3640 1090-6487 |
| language | eng |
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| subjects | Chain entanglement Chains Couplings Entangled states Entanglement Equilibrium conditions Thermodynamic equilibrium |
| title | Entanglement in alternating open chains of nuclear spins s = 1/2 with the XY Hamiltonian |
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