Entanglement Entropy of Compton Scattering with a Witness

IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Shanmuka Shivashankara
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引用次数: 1

Abstract

Unitarity and the optical theorem are used to derive the reduced density matrices of Compton scattering in the presence of a witness particle. Two photons are initially entangled wherein one photon participates in Compton scattering while the other is a witness, i.e. does not interact with the electron. Unitarity is shown to require that the entanglement entropy of the witness photon does not change after its entangled partner undergoes scattering. The final mutual information of the electron and witness particle's polarizations is shown to be nonzero for low energy Compton scattering. This indicates that the two particles became correlated in spite of no direct interaction. Assuming an initial maximally entangled state, the change in entanglement entropy of the scattered photon's polarization is calculated in terms of Stokes parameters. A common ratio of areas occurs in the final reduced density matrix elements, von Neumann entropies, Stokes parameter, and mutual information. This common ratio consists of the Thomson scattering cross-section and an accessible regularized scattering area.
有见证的康普顿散射的纠缠熵
利用唯一性定理和光学定理,导出了存在见证粒子时康普顿散射的约简密度矩阵。两个光子最初纠缠在一起,其中一个光子参与康普顿散射,而另一个光子是见证人,即不与电子相互作用。证明了统一性要求见证光子的纠缠熵在其纠缠伙伴经历散射后不发生变化。在低能康普顿散射中,电子和见证粒子极化的最终互信息是非零的。这表明,尽管没有直接的相互作用,这两个粒子却变得相关了。假设初始最大纠缠态,用Stokes参数计算了散射光子偏振纠缠熵的变化。面积的共同比例出现在最终的简化密度矩阵元素、冯·诺伊曼熵、斯托克斯参数和互信息中。这个公共比率由汤姆逊散射截面和可接近的正则化散射区域组成。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Canadian Journal of Physics
Canadian Journal of Physics 物理-物理:综合
CiteScore
2.30
自引率
8.30%
发文量
65
审稿时长
1.7 months
期刊介绍: The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.
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