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Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Інший ID:
2010 Mathematics Subject Classification: 81R05; 17B80; 81R12
DOI: http://dx.doi.org/10.3842/SIGMA.2013.076
DOI: http://dx.doi.org/10.3842/SIGMA.2013.076
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
401
Завантажень:
215
Анотація:
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.
