Thermal Entanglement of XXZ Heisenberg Chain under Rectangle Magnetic Field

2007 ◽  
Vol 46 (10) ◽  
pp. 2437-2442 ◽  
Author(s):  
Xin Yu Zhao ◽  
Ling Zhou
Keyword(s):  
Magnetic Field ◽  
Heisenberg Chain ◽  
Thermal Entanglement

scholarly journals THERMAL ENTANGLEMENT IN THE TWO-QUBIT HEISENBERG XYZ MODEL

2004 ◽  
Vol 02 (03) ◽  
pp. 393-405 ◽  
Author(s):  
GUSTAVO RIGOLIN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermal Equilibrium ◽  
Coupling Constants ◽  
Heisenberg Chain ◽  
Thermal Entanglement ◽  
One Dimensional ◽  
Analytical Expression ◽  
Monotonically Decreasing Function

We study the entanglement of a two-qubit one-dimensional XYZ Heisenberg chain in thermal equilibrium at temperature T. We obtain an analytical expression for the concurrence of this system in terms of the parameters of the Hamiltonian and T. We show that depending on the relation among the coupling constants, it is possible to increase the amount of entanglement of the system by increasing its anisotropy. We also show numerically that for all sets of the coupling constants entanglement is a monotonically decreasing function of the temperature T, proving that we must have at least an external magnetic field in the z-direction to obtain a behavior where entanglement increases with T.

scholarly journals Effective Hamiltonian for a half-filled asymmetric ionic Hubbard chain with alternating on-site interaction

2016 ◽  
Vol 30 (03) ◽  
pp. 1550260 ◽  
Author(s):  
I. Grusha ◽  
M. Menteshashvili ◽  
G. I. Japaridze
Keyword(s):  
Magnetic Field ◽  
Nearest Neighbor ◽  
Effective Hamiltonian ◽  
Heisenberg Chain ◽  
Spin Hamiltonian ◽  
Effective Spin ◽  
One Dimensional ◽  
The One ◽  
Strong Repulsion ◽  
Ionic Hubbard Model

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model (IHM) with alternating on-site interaction in the limit of strong repulsion. It is shown that the effective Hamiltonian is that of a spin S = 1/2 anisotropic XXZ Heisenberg chain with alternating next-nearest-neighbor (NNN) and three-spin couplings in the presence of a uniform and a staggered magnetic field.

AnisotropicS=1 Antiferromagnetic Heisenberg Chain in a Magnetic Field

1993 ◽  
Vol 62 (2) ◽  
pp. 750-758 ◽  
Author(s):  
Tôru Sakai ◽  
Minoru Takahashi
Keyword(s):  
Magnetic Field ◽  
Heisenberg Chain
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