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arXiv quant-ph/0702028quant-phhep-th
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纠缠熵:螺旋度与自旋

Entanglement Entropy: Helicity versus Spin

Song He, Shuxin Shao, Hongbao Zhang

摘要:

对于自旋为1/2的大质量场,我们分别给出了同一纯单粒子态的约化自旋和螺旋度密度矩阵。他们的关系也得到了发展。在同一惯性参考系下,计算并比较了自旋和螺旋度对应的纠缠熵。由于自旋态和螺旋度态对动量自由度的依赖性不同,得到的螺旋度熵不同于一般的自旋熵。特别地,我们发现自旋本征态的螺旋纠缠和右旋或左旋螺旋态的自旋纠缠都不为零,它们的冯诺伊曼熵不依赖于动量分布的具体形式,只要它是各向同性的.

英文摘要:

For a massive spin 1/2 field, we present the reduced spin and helicity density matrix, respectively, for the same pure one particle state. Their relation has also been developed. Furthermore, we calculate and compare the corresponding entanglement entropy for spin and helicity within the same inertial reference frame. Due to the distinct dependence on momentum degree of freedom between spin and helicity states, the resultant helicity entropy is different from that of spin in general. In particular, we find that both helicity entanglement for a spin eigenstate and spin entanglement for a right handed or left handed helicity state do not vanish and their Von Neumann entropy has no dependence on the specific form of momentum distribution as long as it is isotropic.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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