scholarly journals Effect of three-spin interaction on thermal entanglement in Heisenberg XXZ model

2017 ◽  
Vol 16 (11) ◽  
Author(s):  
Jing-Heng Fu ◽  
Guo-Feng Zhang
Keyword(s):  
Spin Interaction ◽  
Thermal Entanglement ◽  
Xxz Model ◽  
Heisenberg Xxz Model

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

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 AND NON-UNIFORM MAGNETIC QUANTUM DISCORD IN THE TWO-QUBIT HEISENBERG XXZ MODEL

2012 ◽  
Vol 26 (05) ◽  
pp. 1150028 ◽  
Author(s):  
RUI-HUA XIAO ◽  
ZHAN-YING GUO ◽  
JIAN-XING FANG
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Uniform Magnetic Field ◽  
Quantum Discord ◽  
Critical Magnetic Field ◽  
Thermal Entanglement ◽  
Xxz Model ◽  
Analytical Expressions ◽  
Heisenberg Xxz Model

The thermal quantum discord (QD) is investigated in the two-qubit anisotropic Heisenberg XXZ model under an external non-uniform magnetic field along the Z-axis. We obtain the analytical expressions of the thermal QD and thermal entanglement measured by concurrence (C). It shows that for any temperature T, QD gradually decreases with the increase of non-uniform magnetic field |b|, in some regions where C increases while QD decreases. It is also found that thermal quantum discord does not vanish at finite temperatures, but concurrence vanishes completely at a critical temperature. It is shown that for a higher value of JZ, the system has a stronger QD. There is a critical magnetic field B c , which increases with the increasing b. QD decay monotonically (for B < B c ) when temperature T increases, or initially increases to some peaks and then decrease (for B > B c ).

Influence of magnetic field on swap operation in Heisenberg XXZ model

2009 ◽  
Vol 404 (8-11) ◽  
pp. 1116-1118 ◽  
Author(s):  
Jia Liu ◽  
Guo-Feng Zhang ◽  
Zi-Yu Chen
Keyword(s):  
Magnetic Field ◽  
Xxz Model ◽  
Swap Operation ◽  
Heisenberg Xxz Model

Thermal Entanglement Entropy Signature of Spin-Peierls Transition in Dimerized Isotropic XY Chain with Multi-Spin Interactions

2014 ◽  
Vol 1021 ◽  
pp. 46-51
Author(s):  
Hai Lin Huang ◽  
Lin Jie Ding ◽  
Zhao Yu Sun
Keyword(s):  
Green's Function ◽  
Finite Temperature ◽  
Function Theory ◽  
Critical Phenomenon ◽  
Entanglement Entropy ◽  
Spin Interaction ◽  
Thermal Entanglement ◽  
Spin Interactions ◽  
Wigner Transformation ◽  
Peierls Transition

The finite-temperature entanglement entropy for an alternating spin-1/2 chain with multi-spin interactions is investigated by means of Green’s function theory combined with Jordan-Wigner transformation, to identify the spin-Peierls (SP) transition. It is found that the two-site thermal entanglement entropy is a useful tool to characterize theSPtransition. In addition, the competition between multi-spin interaction and Peierls-dimerization plays a central role in the critical phenomenon of the system.

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