Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions

• URL: http://arxiv.org/abs/2206.09199v2
• Date: Wed, 24 Jul 2024 17:33:47 GMT
• Title: Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
• Authors: Leela Ganesh Chandra Lakkaraju, Srijon Ghosh, Debasis Sadhukan, Aditi Sen De,
• Abstract summary: 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. We show that the monogamy score of entanglement is in good agreement with the behavior of pairwise entanglement.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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