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Journal of Atomic and Molecular Physics

Entanglement of the mixed-spin XXZ model with crystal field interaction

Xiu Zhang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Using the method of Negativity the entangle properties of the mixed-spin XXZ model with crystal field were studied.The influence of the temperature,the crystal field interaction and the anisotropic interaction to the entanglement were discussed.The results showed that the maximal entanglement increase with the decrease of the temperature.Both the crystal field d and the anisotropic Δ decrease the maximal entanglement of the system.But the critical temperature of entanglement TC and the maximal entanglement temperature Tmaxwere enhanced by d and Δ.

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Using the method of Negativity the entangle properties of the mixed-spin XXZ model with crystal field were studied.The influence of the temperature,the crystal field interaction and the anisotropic interaction to the entanglement were discussed.The results showed that the maximal entanglement increase with the decrease of the temperature.Both the crystal field d and the anisotropic Δ decrease the maximal entanglement of the system.But the critical temperature of entanglement TC and the maximal entanglement temperature Tmaxwere enhanced by d and Δ.
Using the Concurrence criterion,we investigate the entanglement properties of XX model with three spin interactions.The effects of the three spin interaction J_2 and temperature T on the entanglement are discussed in both ferromagnetic and anti-ferromagnetic cases.Our results show that J_2 enhances the entanglement of the system,but the extent is difference for ferromagnetic and anti-ferromagnetic cases.J_2 also affects the critical temperature T_C,at which the entanglement disappears.T_C decreases with the increasing of J_2.Moreover,our results also indicate that the maximal entanglement increases with the decreasing of system temperature T.In addition,we also investigate the pairwise entanglement of the eigenstates of the Hamiltonian and discuss the ground-state entanglement.We obtain the quantum critical point at which the quantum phase transition takes place.
Negativity is an universal entanglement measure.The entanglement of two-party quantum system can be easily calculated with negativity.The thermal entanglement in the two qubit anisotropic Heisenberg XXZ model is studies by means of Negativity.The influence of temperature T and an external magnetic field B on the entanglement is investigated in thermal equilibrium.When the temperature is less than an critical temperature TC,the thermal entanglement is depended on the magnetic field strength,otherwise the entanglement disappears.
Using the concept of negativity, we investigate the thermal entanglement of a two-spin (1/2, 3/2) mixed-spin Heisenberg XXZ chain with an inhomogeneous external magnetic field. We obtain the analytical results of entanglement of this model. For the case of uniform magnetic field, we find that the critical temperature increases with the increase of the anisotropy parameter k , and for the same couplings, the critical temperature is higher than the results of the spin-1/2 XXZ chain and (1/2, 1) mixed-spin XXZ chain. Evidence of the quantum phase transition is found, and by adjusting the inhomogeneous magnetic parameter b , one is able to obtain more entanglement at higher temperature.
Thermal entanglement of a(1/2,1) mixed-spin Heisenberg XXZ model in the presence of Dzyaloshinski-Moriya(DM) interaction and anisotropy Δ is investigated.It is shown that the thermal entanglement and the critical temperature can be efficiently controlled by adjusting the DM interaction parameter and anisotropy coefficient Δ.Thus,by changing the values of DM interaction and anisotropy coefficient Δ,we can get a more efficient control parameter to increase the entanglement and expand the steady value region to slow down the decreace of the entanglement.