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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Spin entanglement of two spin-1/2 particles in a classical gravitational field
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Spin entanglement of two spin-1/2 particles in a classical gravitational field

机译：经典引力场中两个自旋1/2粒子的自旋纠缠

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摘要

The effect of a classical gravitational field on the spin entanglement of a system of two spin-1/2 particles moving in the curved spacetime is discussed. The system is described by a two-particle Gaussian wave packet represented in the momentum space and both the acceleration of the system and the curvature of the spacetime produce a Wigner rotation acting on the wave packet as it moves along a path in the curved spacetime. By calculating the reduced density operator at a final point, we focus on the spin entanglement of the system. In a spherically symmetric and static gravitational field, for example a charged black hole, there can be particular paths on which the Wigner rotation is trivial and so the initial reduced density matrix remains intact. This causes the spin entanglement to be invariant during the motion. The spin entanglement descends to zero by increasing the angular velocity of the mean centroid of the system as well as increasing the proper time during which the centroid moves on its circular path around the center.
机译：讨论了经典引力场对在弯曲时空中运动的两个自旋1/2粒子系统的自旋纠缠的影响。该系统由动量空间中表示的两粒子高斯波包描述，系统的加速度和时空曲率在波包沿弯曲时空沿路径移动时都会产生作用在波包上的维格纳旋转。通过在最后一点上计算降密度算符，我们集中于系统的自旋纠缠。在球对称且静态的引力场中，例如带电的黑洞中，可能会存在维格纳旋转微不足道的特定路径，因此初始的降低密度矩阵保持不变。这将导致自旋纠缠在运动过程中保持不变。通过增加系统平均质心的角速度以及增加质心在其绕中心的圆形路径上移动的适当时间，自旋纠缠降为零。

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