Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914883852828672 |
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| author | Lakkaraju, Leela Ganesh Chandra Ghosh, Srijon Sadhukan, Debasis De, Aditi Sen |
| author_facet | Lakkaraju, Leela Ganesh Chandra Ghosh, Srijon Sadhukan, Debasis De, Aditi Sen |
| contents | The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the long-range model can be mimicked by the model having a finite range of interactions provided the interaction strength is moderate. On the other hand, we illustrate that when the interactions are strong, the entanglement distribution in the long-range model does not match the class of a model with a few interactions. We also show that the monogamy score of entanglement is in good agreement with the behavior of pairwise entanglement. Specifically, it saturates when the entanglement in the finite-range Hamiltonian behaves similarly to the long-range model, while it decays algebraically otherwise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_09199 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions Lakkaraju, Leela Ganesh Chandra Ghosh, Srijon Sadhukan, Debasis De, Aditi Sen Quantum Physics Strongly Correlated Electrons The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the long-range model can be mimicked by the model having a finite range of interactions provided the interaction strength is moderate. On the other hand, we illustrate that when the interactions are strong, the entanglement distribution in the long-range model does not match the class of a model with a few interactions. We also show that the monogamy score of entanglement is in good agreement with the behavior of pairwise entanglement. Specifically, it saturates when the entanglement in the finite-range Hamiltonian behaves similarly to the long-range model, while it decays algebraically otherwise. |
| title | Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2206.09199 |