Entropic Uncertainty in Spin XY Model with Long-Range Interactions

The behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both co...

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Main Author: Nour Zidan
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/8/837
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author Nour Zidan
author_facet Nour Zidan
author_sort Nour Zidan
collection DOAJ
description The behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both coupling and the magnetic field parameters decay the degree of entanglement, and increasing the uncertainty relations and the degree of mixedness. The phenomena of the sudden changes in the investigated quantities are depicted at large values of the field and coupling parameters. Concerning the type of the coupling parameters, distance and the trigonometric coupling have a clear effect on the behavior of the studied physical quantities.
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spelling doaj.art-790d818915f54d11ba3366848a91787f2023-11-20T08:28:43ZengMDPI AGEntropy1099-43002020-07-0122883710.3390/e22080837Entropic Uncertainty in Spin XY Model with Long-Range InteractionsNour Zidan0Mathematics Department, College of Science, Jouf University, P.O. Box 2014 Sakaka, Saudi ArabiaThe behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both coupling and the magnetic field parameters decay the degree of entanglement, and increasing the uncertainty relations and the degree of mixedness. The phenomena of the sudden changes in the investigated quantities are depicted at large values of the field and coupling parameters. Concerning the type of the coupling parameters, distance and the trigonometric coupling have a clear effect on the behavior of the studied physical quantities.https://www.mdpi.com/1099-4300/22/8/837uncertainty relationsSutherland–Calogero–Moser modelentanglementmixedness
spellingShingle Nour Zidan
Entropic Uncertainty in Spin XY Model with Long-Range Interactions
Entropy
uncertainty relations
Sutherland–Calogero–Moser model
entanglement
mixedness
title Entropic Uncertainty in Spin XY Model with Long-Range Interactions
title_full Entropic Uncertainty in Spin XY Model with Long-Range Interactions
title_fullStr Entropic Uncertainty in Spin XY Model with Long-Range Interactions
title_full_unstemmed Entropic Uncertainty in Spin XY Model with Long-Range Interactions
title_short Entropic Uncertainty in Spin XY Model with Long-Range Interactions
title_sort entropic uncertainty in spin xy model with long range interactions
topic uncertainty relations
Sutherland–Calogero–Moser model
entanglement
mixedness
url https://www.mdpi.com/1099-4300/22/8/837
work_keys_str_mv AT nourzidan entropicuncertaintyinspinxymodelwithlongrangeinteractions