Based on the solvable dynamical model for quantum measurement process, we consider three uncoupled particles interacting with their local one-dimensional (1D) spin arrays. Here the 1D spin arrays can be regarded as the local phase decoherence environments for the particles. To demonstrate the dynamics of quantum entanglement among three particles in measuring process, the tripartite negativity is introduced. Our study indicates that the tripartite negativity is determined jointly by the initial states and the dephasing factors for four kinds of initial states, including GHZ-type states, W-type states, Weiner-GHZ states, and Weiner-W states. We find the particle-spin array interaction can destroy the tripartite negativity, and the tripartite negativity is the same for the family of entangled GHZ states or the family of entangled W states. Furthermore, there exists the sudden death of tripartite negativity when the initial states are Weiner-GHZ states or Weiner-W states.

基于量子测量过程的可动力学模型，我们考虑了三个未耦合的粒子与其局部一维（1D）自旋阵列相互作用。在这里，一维自旋阵列可以看作是粒子的局部相干相干环境。为了证明在测量过程中三个粒子之间的量子纠缠动力学，引入了三方负性。我们的研究表明，三方负性是由初始状态和移相因子共同决定的，这四种初始状态包括GHZ型状态，W型状态，Weiner-GHZ状态和Weiner-W状态。我们发现粒子自旋阵列相互作用可以破坏三方负性，并且三元负性对于纠缠的GHZ态族或纠缠的W态族是相同的。