Thermal Entanglement in Two-Qutrit Heisenberg XX Chain with Different Dzyaloshinskii—Moriya Interaction and Nonuniform Magnetic Field

2012 ◽  
Vol 58 (5) ◽  
pp. 653-656 ◽  
Author(s):  
Meng Qin ◽  
Yan-Biao Li ◽  
Zhong Bai ◽  
Xiao Wang ◽  
Wen-Yuan Wu
Keyword(s):  
Magnetic Field ◽  
Nonuniform Magnetic Field ◽  
Thermal Entanglement ◽  
Moriya Interaction

ENTANGLEMENT IN THE XY HEISENBERG MODEL

2004 ◽  
Vol 18 (19n20) ◽  
pp. 1059-1065 ◽  
Author(s):  
XIN TIAN ◽  
JIA-TIH LIN ◽  
LIANG LIU ◽  
DE-LONG REN
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Ising Model ◽  
Heisenberg Model ◽  
Nonuniform Magnetic Field ◽  
Xy Model ◽  
Thermal Entanglement ◽  
Isotropic Model

We investigate the thermal entanglement of two-qubit anisotropic Heisenberg XY model in the presence of an external nonuniform magnetic field B along the z-axis. Concurrence, the measure of entanglement is calculated and its property is studied in different cases. Two best models, Ising model under a uniform magnetic and isotropic model in a nonuniform magnetic field, are discovered. In the two models, the critical temperature Tc (above which there is no entanglement) can be enhanced and its concurrence is maximal.

PAIRWISE ENTANGLEMENT IN THE N-QUBIT XX MODEL WITH DZYALOSHINSKI–MORIYA INTERACTION AND MAGNETIC FIELD

2011 ◽  
Vol 25 (16) ◽  
pp. 2135-2148
Author(s):  
BIN ZHOU
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Magnetic Fields ◽  
Nearest Neighbor ◽  
Zero Temperature ◽  
Thermal Entanglement ◽  
Dm Interaction ◽  
Xx Model ◽  
Moriya Interaction

In this paper, we investigate the role of Dzyaloshinski–Moriya (DM) interaction in the pairwise entanglement in the three- and four-qubit XX models with magnetic field. In the four-qubit model, the pairwise entanglements of two nearest-neighbor qubits and two next-neighbor qubits are investigated, respectively. The dependences of the critical temperature at which the pairwise thermal entanglement disappears on DM interaction and magnetic fields are studied in details. At zero temperature, the entanglement can undergo sudden changes with adjustment of the parameters, and the general results of the concurrence are obtained in all cases.

Thermal entanglement in a mixed spin Heisenberg XXX chain with DM interaction

2021 ◽  
pp. 2150021
Author(s):  
Nizar Ahami ◽  
Morad El Baz
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermal Entanglement ◽  
Bipartite Entanglement ◽  
Dm Interaction ◽  
One Dimensional ◽  
Mixed Spin ◽  
Xxx Model ◽  
Moriya Interaction ◽  
Heisenberg Xxx Model

We consider a one-dimensional, mixed spin Heisenberg XXX model with an homogeneous external magnetic field and Dzyaloshinskii–Moriya interaction. Alternating spin-[Formula: see text] and spin-1 particles are forming the chain. The effect of the different parameters of the system on the bipartite thermal entanglement is studied. The type of chain used (mixed) and the size of the chain ([Formula: see text]) allow to study three types of bipartite entanglement, the qubit–qubit, qubit–qutrit and qutrit–qutrit thermal entanglement.

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.

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