论文标题

通过有限范围的相互作用模仿远程哈密顿量的量子相关性

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

论文作者

Lakkaraju, Leela Ganesh Chandra, Ghosh, Srijon, Sadhukan, Debasis, De, Aditi Sen

论文摘要

量子远程扩展模型具有几个引人注目的特征,这些特征在相应的短距离模型中无法观察到。我们报告说,如果相互作用强度适中,则可以模仿具有有限相互作用的模型,可以模仿从远程模型的任意两个任意位点之间获得的模式。另一方面,我们说明,当相互作用很强时,远程模型中的纠缠分布与模型类别与几个相互作用的类别不匹配。我们还表明,纠缠的一夫一妻制得分与成对纠缠的行为非常吻合。具体而言,当有限范围的哈密顿式的纠缠与远程模型相似时,它会饱和,而否则它会衰减代数。

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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