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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.16204 |
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| _version_ | 1866912681409118208 |
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| author | Santos, Raimundo R. dos Oliveira, Lucas Alves Costa, Natanael C. |
| author_facet | Santos, Raimundo R. dos Oliveira, Lucas Alves Costa, Natanael C. |
| contents | We study four spins on a ring coupled through competing Heisenberg interactions between nearest neighbors, $J$, and next-nearest neighbors, $J_2\equivαJ>0$. The spectrum is obtained in a simple way by using the rules for addition of 4 angular momenta. This allows us to follow the evolution of the ground state with $α$, characterized by level crossings and by analyses of spin-spin correlation functions. Further insight is obtained by examining the entanglement between different parts of the system: we observe that the entanglement entropy is strongly dependent on how the system is partitioned. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16204 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Four interacting spins: addition of angular momenta, spin-spin correlation functions, and entanglement Santos, Raimundo R. dos Oliveira, Lucas Alves Costa, Natanael C. Quantum Physics We study four spins on a ring coupled through competing Heisenberg interactions between nearest neighbors, $J$, and next-nearest neighbors, $J_2\equivαJ>0$. The spectrum is obtained in a simple way by using the rules for addition of 4 angular momenta. This allows us to follow the evolution of the ground state with $α$, characterized by level crossings and by analyses of spin-spin correlation functions. Further insight is obtained by examining the entanglement between different parts of the system: we observe that the entanglement entropy is strongly dependent on how the system is partitioned. |
| title | Four interacting spins: addition of angular momenta, spin-spin correlation functions, and entanglement |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.16204 |