School of Computational Science and Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4L8.
Departments of Electrical & Computer Engineering and Mathematics & Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4L8.
Phys Rev E. 2023 Jan;107(1-1):014135. doi: 10.1103/PhysRevE.107.014135.
The dynamics of a maximally entangled pair of spin-1/2 particles is obtained in the presence of random magnetic fields which are correlated. The two spin-1/2 particles are assumed to be maximally entangled initially and are then disturbed by the magnetic fields modeled as Gaussian vector random processes whose corresponding spatial components are correlated. The dynamics is derived in terms of the joint density matrix of the entangled pair using the ideas of stochastic calculus, from which the steady-state density matrix and the associated timescale for it to be reached are obtained. The asymptotic density matrix represents a state of (partial) disentanglement.
在存在关联的随机磁场中，得到了一对最大纠缠的自旋-1/2 粒子的动力学。假设这两个自旋-1/2 粒子最初是最大纠缠的，然后被建模为高斯向量随机过程的磁场干扰，其相应的空间分量是相关的。动力学是通过使用随机微积分的思想，从纠缠对的联合密度矩阵中推导出来的，从中得到了稳态密度矩阵和达到它的相关时间尺度。渐近密度矩阵表示（部分）去纠缠的状态。
