Dynamic Evolution Of Entanglement On The Two-Qubit Tranverse Ising Model

With the development of quantum information technology and advance of quantum computer, quantum entanglement which is an essential physical resource, has been widely used in quantum information processing, quantum computation and quantum communication. Entanglement, due to its properties of inartificial secrecy, superhigh speed and huge volume, is the important physical resource to realize the hardware of quantum computer. As a result, the study about entangle-ment will deeply affect not only quantum information technology but also quantum computer, the qualitative and quantitative description of entanglement has also be-came especially important. Recently, a great quantity of studies have investigated the quantum entanglement in Heisenberg spin chain systems. Heisenberg spin chain is a solid state system, compared with other physical systems, it is the promising candidate for realizing large-scale quantum computation owning to the scalable and easy integration. Based on these reasons, we investigate the entanglement of the transverse Ising model, which is a special form of Heisenberg XY spin chain system.In this paper, via Milburn equation and negativity, we investigate the effect of Dzyaloshinski-Moriya(DM) interaction on entanglement in a two-qubit Ising model with intrinsic decoherence taking into account. Our results show that:in the two-qubit transverse Ising model in the presence of DM interaction, when the system is initially in the maximum entangled state (1/2^1/2)(|01>+|10)), corresponding to different values of intrinsic decoherence rateγ, appropriately adjusting DM interaction can make the entanglement of this system rapidly tend to a stable value. But it is at the cost of decreasing entanglement value. when initial state of the system is in the separated state|01>, DM interaction always restrain the entanglement of the system. In addition, we also study the entanglement evolution of the transverse Ising model whose initial state is in the maximal entangled states (1/2^1/2)=(|00)±|11)), and find that the DM interaction and intrinsic decoherence have no affection on the negativity in these initial states. These studies may provide some valuable theoretical basis for future experiments.