Effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
Year
: 2008
Abstract: The role of spin-orbit interaction in the ground state and thermal entanglement of a Heisenberg XYZ two-qubit system in the presence of an inhomogeneous magnetic field is investigated. We show that the ground state entanglement tends to vanish suddenly for a certain value of the spin-orbit parameter D and, when D crosses its critical value D c , the entanglement undergoes a revival. Indeed, when D crosses its critical value (D c ) , the ground state entanglement tends to its maximum value (C=1) . Also, at finite temperatures there are revival regions in the D−T plane. In these regions, entanglement first increases with increasing temperature and then decreases and ultimately vanishes for temperatures above a critical value. We find that this critical temperature is an increasing function of D and that the amount of entanglement in the revival region depends on the spin-orbit parameter. Therefore when spin-orbit interaction is included larger thermal entanglement can exist at higher temperatures. We also show that the rate of enhancement of thermal entanglement by D is not the same for ferromagnetic (J z <0) and antiferromagnatic (J z >0) chains. The entanglement teleportation via the quantum channel constructed by the above system is also investigated, and the influence of the spin-orbit interaction on the fidelity of teleportation and entanglement of replica states is studied. We show that, by introducing spin-orbit interaction, the entanglement of the replica state and fidelity of teleportation can be increased for the case of J z <0 . We also argue that a minimal entanglement of the channel is required to realize efficient entanglement teleportation and, in the case of J z <0 , this minimal entanglement can be achieved by introducing spin-orbit interaction.
Keyword(s): Spin-orbit interaction,Entanglement,Heisenberg model
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Effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
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contributor author | Fardin Kheirandish | en |
contributor author | سیدجواد اختر شناس | en |
contributor author | Hamidreza Mohammadi | en |
contributor author | Seyed Javad Akhtarshenas | fa |
date accessioned | 2020-06-06T13:23:14Z | |
date available | 2020-06-06T13:23:14Z | |
date issued | 2008 | |
identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3352780 | |
description abstract | The role of spin-orbit interaction in the ground state and thermal entanglement of a Heisenberg XYZ two-qubit system in the presence of an inhomogeneous magnetic field is investigated. We show that the ground state entanglement tends to vanish suddenly for a certain value of the spin-orbit parameter D and, when D crosses its critical value D c , the entanglement undergoes a revival. Indeed, when D crosses its critical value (D c ) , the ground state entanglement tends to its maximum value (C=1) . Also, at finite temperatures there are revival regions in the D−T plane. In these regions, entanglement first increases with increasing temperature and then decreases and ultimately vanishes for temperatures above a critical value. We find that this critical temperature is an increasing function of D and that the amount of entanglement in the revival region depends on the spin-orbit parameter. Therefore when spin-orbit interaction is included larger thermal entanglement can exist at higher temperatures. We also show that the rate of enhancement of thermal entanglement by D is not the same for ferromagnetic (J z <0) and antiferromagnatic (J z >0) chains. The entanglement teleportation via the quantum channel constructed by the above system is also investigated, and the influence of the spin-orbit interaction on the fidelity of teleportation and entanglement of replica states is studied. We show that, by introducing spin-orbit interaction, the entanglement of the replica state and fidelity of teleportation can be increased for the case of J z <0 . We also argue that a minimal entanglement of the channel is required to realize efficient entanglement teleportation and, in the case of J z <0 , this minimal entanglement can be achieved by introducing spin-orbit interaction. | en |
language | English | |
title | Effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field | en |
type | Journal Paper | |
contenttype | External Fulltext | |
subject keywords | Spin-orbit interaction | en |
subject keywords | Entanglement | en |
subject keywords | Heisenberg model | en |
journal title | Physical Review A | fa |
pages | 42309-42309 | |
journal volume | 77 | |
journal issue | 4 | |
identifier link | https://profdoc.um.ac.ir/paper-abstract-1046897.html | |
identifier articleid | 1046897 |