Factorization and Criticality in the Anisotropic XY Chain via Correlations
In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse magn...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-02-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/2/790 |
| _version_ | 1828391343755362304 |
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| author | Barış Çakmak Göktuğ Karpat Felipe F. Fanchini |
| author_facet | Barış Çakmak Göktuğ Karpat Felipe F. Fanchini |
| author_sort | Barış Çakmak |
| collection | DOAJ |
| description | In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse magnetic field. We compare the ability of the considered measures to correctly detect or estimate the quantum critical point and the non-trivial factorization point possessed by the spin chain. |
| first_indexed | 2024-12-10T07:00:20Z |
| format | Article |
| id | doaj.art-91799fb17ecd482ab1a0abf1f68d04ec |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-12-10T07:00:20Z |
| publishDate | 2015-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-91799fb17ecd482ab1a0abf1f68d04ec2022-12-22T01:58:21ZengMDPI AGEntropy1099-43002015-02-0117279081710.3390/e17020790e17020790Factorization and Criticality in the Anisotropic XY Chain via CorrelationsBarış Çakmak0Göktuğ Karpat1Felipe F. Fanchini2Faculdade de Ciências, UNESP - Universidade Estadual Paulista, Bauru, SP, 17033-360, BrazilFaculdade de Ciências, UNESP - Universidade Estadual Paulista, Bauru, SP, 17033-360, BrazilFaculdade de Ciências, UNESP - Universidade Estadual Paulista, Bauru, SP, 17033-360, BrazilIn this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse magnetic field. We compare the ability of the considered measures to correctly detect or estimate the quantum critical point and the non-trivial factorization point possessed by the spin chain.http://www.mdpi.com/1099-4300/17/2/790XY spin chainquantum phase transitionsquantum correlationstotal correlationsquantum coherenceWigner–Yanase skew information |
| spellingShingle | Barış Çakmak Göktuğ Karpat Felipe F. Fanchini Factorization and Criticality in the Anisotropic XY Chain via Correlations Entropy XY spin chain quantum phase transitions quantum correlations total correlations quantum coherence Wigner–Yanase skew information |
| title | Factorization and Criticality in the Anisotropic XY Chain via Correlations |
| title_full | Factorization and Criticality in the Anisotropic XY Chain via Correlations |
| title_fullStr | Factorization and Criticality in the Anisotropic XY Chain via Correlations |
| title_full_unstemmed | Factorization and Criticality in the Anisotropic XY Chain via Correlations |
| title_short | Factorization and Criticality in the Anisotropic XY Chain via Correlations |
| title_sort | factorization and criticality in the anisotropic xy chain via correlations |
| topic | XY spin chain quantum phase transitions quantum correlations total correlations quantum coherence Wigner–Yanase skew information |
| url | http://www.mdpi.com/1099-4300/17/2/790 |
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