Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
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.
Keywords
Cite
@article{arxiv.2206.09199,
title = {Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions},
author = {Leela Ganesh Chandra Lakkaraju and Srijon Ghosh and Debasis Sadhukan and Aditi Sen De},
journal= {arXiv preprint arXiv:2206.09199},
year = {2024}
}
Comments
v1: 14 pages, 9 figures, v2: title changed and close to the published version