scholarly journals Thermal entanglement in the four-qubit Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction

2011 ◽  
Vol 60 (12) ◽  
pp. 120301
Author(s):  
Zhang Ying-Li ◽  
Zhou Bin
Keyword(s):  
Thermal Entanglement ◽  
Xxz Model ◽  
Moriya Interaction ◽  
Heisenberg Xxz Model

THREE-QUBITS GROUND STATE AND THERMAL ENTANGLEMENT OF ANISOTROPIC HEISENBERG (XXZ) AND ISING MODELS WITH DZYALOSHINSKII-MORIYA INTERACTION

2011 ◽  
Vol 09 (04) ◽  
pp. 1057-1079 ◽  
Author(s):  
R. JAFARI ◽  
A. LANGARI
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Ising Models ◽  
Zero Temperature ◽  
Thermal Entanglement ◽  
Xxz Model ◽  
Dm Interaction ◽  
Remarkable Result ◽  
Moriya Interaction ◽  
Heisenberg Xxz Model

We have studied the symmetric and non-symmetric pairwise ground state and thermal entanglement in three-qubits system. We have considered the anisotropic Heisenberg (XXZ) model in the presence of Dzyaloshinskii–Moriya (DM) interaction in addition to the Ising model in a magnetic field with DM interaction. We have found that the increment of DM interaction and magnetic field can enhance and reduce the entanglement of the system. We have shown that the non-symmetric pairwise state has higher value concurrence and critical temperature (above which the entanglement vanishes) than the symmetric pairwise one. For the negative anisotropy, the non-symmetric entanglement is a monotonic function of DM interaction while for positive anisotropy, it has a maximum versus DM parameter and vanishes for larger values of DM interaction. The conditions for the existence of thermal entanglement are discussed in detail. The most remarkable result appears at zero temperature where the three-qubits ground state entanglement of the system (in spite of two-qubits counterpart) shows the fingerprint of the quantum phase transition for a system of infinite number of qubits.

Thermal entanglement in a mixed-spin Heisenberg XXZ model under a nonuniform external magnetic field

2009 ◽  
Vol 52 (12) ◽  
pp. 1919-1924 ◽  
Author(s):  
Fei Wang ◽  
HongHui Jia ◽  
HaiLiang Zhang ◽  
XueAo Zhang ◽  
ShengLi Chang
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermal Entanglement ◽  
Xxz Model ◽  
Mixed Spin ◽  
Heisenberg Xxz Model

Thermal entanglement and teleportation in a three-qubit Heisenberg XXZ model with Dzyaloshinski–Moriya anisotropic antisymmetric interaction

2009 ◽  
Vol 18 (8) ◽  
pp. 3203-3209 ◽  
Author(s):  
Xie Li-Jun ◽  
Zhang Deng-Yu ◽  
Tang Shi-Qing ◽  
Zhan Xiao-Gui ◽  
Gao Feng
Keyword(s):  
Thermal Entanglement ◽  
Xxz Model ◽  
Heisenberg Xxz Model
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