Dynamics Of Intrinsic Decoherence On Quantum Entanglement In A Three-Qubit XXZ Heisenberg System

Quantum entanglement is a potential resource for quantum communication and quantum information processing,It is significant to study the quantum entanglement quantitatively and qualitatively and its application in the field of quantum information.The Heisenberg spin chains, as the natural candidates for the realization of the entanglement,showed some substantial advantages compared with the other physical systems in quantum information processing.However,because of decoherence, quantum coherence and entanglement in quantum system decrease when implementing quantum information and computation, even vanish.It is interesting to investigate the effects of special relativity on quantum entanglement and decoherence.On considering that the intrinsic decoherence is taken into account,the dynamic evolution of entanglement of a three-qubit XXZ Heisenberg system under the influence of various factors is investigated.1.According to the theory of Milburn and considering the intrinsic decoherence cases, the dynamic evolution of quantum entanglement of a three-qubit XXZ Heisenberg system is investigated,which is under the influence of Dzyaloshinskii-Moriya(DM) interaction and anisotropy.The influences of different DM interaction and intrinsic decoherence on the quantum of the concurrence are analyzed in detail.The research shows that the system entanglement has nothing to do with anisotropy,but suffers from not only the DM interaction but also the intrinsic decoherence.With no DM interaction but intrinsic decoherence, the three pairs of system of pairwise entanglement are different from each other;After the introduction of DM interaction, the stable value of the system of concurrence will be changed;When DM interaction is in certain scope, the system of concurrence can achieve a stable nonzero values over time;When DM interaction is constant, the system of concurrence do shocks over time and with time goes by, the shock will weaken to a stable nonzero values;What’s more, with the increase of intrinsic decoherence,the oscillation amplitude of system of concurrence will decrease and the oscillation time will shorten.Therefore, appropriate DM interaction parameters can effectively control the concurrence with the help of intrinsic decoherence.2. When there is a intrinsic decoherence,for different initial state of the system, entanglement properties of three particles XXZ Heisenberg model are studied,which has the DM interaction and anisotropic, thus some conclusions are drawn: the concurrence of three particle XXZ Heisenberg system has nothing to do with anisotropic parameters Δ, but DM interaction and intrinsic decoherence has a significant effect on entanglement of the system. When the initial state of system is entangled state, we can get stable entanglement system if appropriate parameters are taken;System initial state is separation, the entanglement of system will shock attenuation with time periodically, entanglement of system will appear death phenomenon after each oscillation, with the extension of time, the system of concurrence will be zero;When DM interaction does not change, when the system initial state is separation, the entanglement will shock sexual abate with the increase of time and sudden death after each oscillation, entanglement of the system ultimately tends to zero, and the more intrinsic decoherence γ increase, the faster shock weaken.Therefore, choosing the appropriate initial state system and DM interaction parameters,we can get very good entanglement resource.