Can a finite range Hamiltonian mimic quantum correlation of a long-range Hamiltonian?

Lakkaraju, Leela Ganesh Chandra ; Ghosh, Srijon ; Sadhukan, Debasis ; De, Aditi Sen (2022) Can a finite range Hamiltonian mimic quantum correlation of a long-range Hamiltonian?

[img] PDF
690kB

Official URL: https://arxiv.org/abs/2206.09199

Abstract

The quantum long-range extended Ising model possesses several striking features which 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, entanglement distribution in the long-range model does not match with the class of a few-range interacting model. We also show that the monogamy score of entanglement is in a good agreement with the behavior of pairwise entanglement. Specifically, it saturates when the entanglement in the finite-range Hamiltonian behaves similarly with the long-range model while it decays algebraically otherwise.

Item Type:Article
Source:Copyright of this article belongs to arXiv License Information
Keywords:Quantum Physics (quant-ph), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, FOS: Physical sciences
ID Code:125570
Deposited On:13 Oct 2022 03:59
Last Modified:13 Oct 2022 04:03

Repository Staff Only: item control page