Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal D

Entanglement in the three-qubit Heisenberg model with next nearest neighbor interaction and a nonuniform magnetic field

R. Liu, Mai-Lin Liang, Bing Yuan

Published Dec 14, 2006• 11 citations
Publisher
DOI
10.1140/epjd/e2006-00271-3

Related papers

Thermal Entanglement of a Three-Qubit Heisenberg Chain with a Nonuniform Magnetic Field

Yang Guo-Hui, Zhou Ling

The thermal entanglement of a three-qubit Heisenberg chain under a nonuniform magnetic field is studied. It is very interesting to note that the next nearest neighbor entanglement (NNNE) could be larger than the nearest neighbor entanglement (NNE). We analyze the ground state entanglement, and give the conditions that NNNE is larger than NNE near zero temperature. Our results also show that the nonuniform field could induce the entanglement and improve the threshold temperature at certain parameter region.

Communications in Theoretical Physics•Jun 1, 2008•2 citations

Pairwise entanglement of a three-qubit Heisenberg XY chain in a nonuniform magnetic field with intrinsic decoherence

Jin‐Liang Guo, He‐Shan Song

Physica A Statistical Mechanics and its Applications•Jan 27, 2009•9 citations

Influence of arbitrary magnetic field on entanglement in Heisenberg XXZ model

Fulin Zhang, Mai-Lin Liang, Jin-Hua Zhang

Optics Communications•Mar 29, 2007•3 citations

Pairwise thermal entanglement in a three-qubit Heisenberg XX model with a nonuniform magnetic field and Dzyaloshinski—Moriya interaction

Ren Jin-Zhong, Shao Xiao-Qiang, Zhang Shou +1 more

Pairwise thermal entanglement in a three-qubit Heisenberg XX model is investigated when a nonuniform magnetic field and the Dzyaloshinski—Moriya interaction are included. We find that the nonuniform magnetic field and Dzyaloshinski—Moriya interaction are the more efficient control parameters for the increase of entanglement and critical temperature. For both the nearest neighbour sites and the next nearest neighbour sites, the magnetic field can induce entanglement to a certain extent and the Dzyaloshinski—Moriya interaction can enhance the entanglement to a stable value. The steady value of the nearest neighbour site entanglement C 12 is larger than the next nearest neighbour site entanglement C 13 . An interesting phenomenon is that the entanglement curve of C 12 appears a peak value when the Dzyaloshinski—Moriya interaction is considered in a nonuniform magnetic field.

Chinese Physics B•Oct 1, 2010•3 citations

Entanglement of the Heisenberg XXX spin chain under uniform and nonuniform magnetic fields

D. Tian

We study the nearest and next nearest neighbor entanglement of the Heisenberg XXX spin chain (antiferromagnet) under uniform and nonuniform magnetic fields up to 10 spins.At zero absolute temperature,we show that there are staircase structures in concurrence C,this may be used to construct a quantum entanglement amplifier or switch.For finite temperature,we show that when a nonuniform magnetic field Bi=(-1)iB is introduced,the nearest neighbor entanglement may be enhanced at certain regions of B and T,while the next nearest neighbor entanglement completely disappeared.The critical temperature Tcn at which the nearest neighbor entanglement vanishes is also improved by introducing the nonuniform magnetic field Bi=(-1)iB,Tcn increases with the increase of B,which means one can get entanglement at any temperature by adjusting the magnetic field strength.

Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations

Entanglement in a three-qubit ferrmagnetic heisenberg spin chain system

Yu-Xing Xi, Zhao Yuanli, Huang Yan-Xia

Chinese journal of atomic and molecular physics•Jan 1, 2016•0 citations
The thermal entanglement of a three-qubit Heisenberg chain under a nonuniform magnetic field is studied. It is very interesting to note that the next nearest neighbor entanglement (NNNE) could be larger than the nearest neighbor entanglement (NNE). We analyze the ground state entanglement, and give the conditions that NNNE is larger than NNE near zero temperature. Our results also show that the nonuniform field could induce the entanglement and improve the threshold temperature at certain parameter region.
Pairwise thermal entanglement in a three-qubit Heisenberg XX model is investigated when a nonuniform magnetic field and the Dzyaloshinski—Moriya interaction are included. We find that the nonuniform magnetic field and Dzyaloshinski—Moriya interaction are the more efficient control parameters for the increase of entanglement and critical temperature. For both the nearest neighbour sites and the next nearest neighbour sites, the magnetic field can induce entanglement to a certain extent and the Dzyaloshinski—Moriya interaction can enhance the entanglement to a stable value. The steady value of the nearest neighbour site entanglement C 12 is larger than the next nearest neighbour site entanglement C 13 . An interesting phenomenon is that the entanglement curve of C 12 appears a peak value when the Dzyaloshinski—Moriya interaction is considered in a nonuniform magnetic field.
We study the nearest and next nearest neighbor entanglement of the Heisenberg XXX spin chain (antiferromagnet) under uniform and nonuniform magnetic fields up to 10 spins.At zero absolute temperature,we show that there are staircase structures in concurrence C,this may be used to construct a quantum entanglement amplifier or switch.For finite temperature,we show that when a nonuniform magnetic field Bi=(-1)iB is introduced,the nearest neighbor entanglement may be enhanced at certain regions of B and T,while the next nearest neighbor entanglement completely disappeared.The critical temperature Tcn at which the nearest neighbor entanglement vanishes is also improved by introducing the nonuniform magnetic field Bi=(-1)iB,Tcn increases with the increase of B,which means one can get entanglement at any temperature by adjusting the magnetic field strength.