Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin (or highest weight). Complementary insights are provided thro...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149368 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian / E. Mattei, J. Links // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862555974983745536 |
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| author | Mattei, E. Links, J. |
| author_facet | Mattei, E. Links, J. |
| citation_txt | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian / E. Mattei, J. Links // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin (or highest weight). Complementary insights are provided through investigation of the energy gap, ground-state fidelity, and ground-state entanglement, which are numerically computed for particular parameter values. Despite the simplicity of the model, a rich array of ground-state features are uncovered. Finally, we discuss how this model may be seen as an analogue of the exactly solvable p+ip pairing Hamiltonian.
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| first_indexed | 2025-11-25T22:28:06Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149368 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:28:06Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mattei, E. Links, J. 2019-02-21T07:23:09Z 2019-02-21T07:23:09Z 2013 Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian / E. Mattei, J. Links // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R05; 17B80; 81R12 DOI: http://dx.doi.org/10.3842/SIGMA.2013.076 https://nasplib.isofts.kiev.ua/handle/123456789/149368 We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin (or highest weight). Complementary insights are provided through investigation of the energy gap, ground-state fidelity, and ground-state entanglement, which are numerically computed for particular parameter values. Despite the simplicity of the model, a rich array of ground-state features are uncovered. Finally, we discuss how this model may be seen as an analogue of the exactly solvable p+ip pairing Hamiltonian. EM is supported by CAPES (Brazil). JL is supported by the Australian Research Council
 through Discovery Project DP110101414. We thank the anonymous referees for their recommendations on revising the manuscript. JL thanks Germ´an Sierra for numerous insightful discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian Article published earlier |
| spellingShingle | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian Mattei, E. Links, J. |
| title | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian |
| title_full | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian |
| title_fullStr | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian |
| title_full_unstemmed | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian |
| title_short | Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian |
| title_sort | ground-state analysis for an exactly solvable coupled-spin hamiltonian |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149368 |
| work_keys_str_mv | AT matteie groundstateanalysisforanexactlysolvablecoupledspinhamiltonian AT linksj groundstateanalysisforanexactlysolvablecoupledspinhamiltonian |