Understanding entangled spins in QED

Details Understanding entangled spins in QED Understanding entangled spins in QED

2005-10-03

arxiv.org/abs/quant-ph/0510016v5

J. Phys. A: Math. Theor. 40 (2007) 11617-11625

Physics

Quantum Physics

6 pages, 3 figures. changes added

Scientific paper

10.1088/1751-8113/40/38/012

The stability of two entangled spins dressed by electrons is studied by calculating the scattering phase shifts. The interaction between electrons is interpreted by fully relativistic QED and the screening effect is described phenomenologically in the Debye exponential form $e^{-\alpha r}$. Our results show that if the (Einstein-Podolsky-Rosen-) EPR-type states are kept stable under the interaction of QED, the spatial wave function must be parity-dependent. The spin-singlet state $s=0$ and the polarized state $\frac 1{\sqrt{2}}(\mid +-> -\mid -+>)$ along the z-axis\QTR{bf}{\}give rise to two different kinds of phase shifts\QTR{bf}{.} Interestingly, the interaction between electrons in the spin-singlet pair is found to be attractive. Such an attraction could be very useful when we extract the entangled spins from superconductors. A mechanism to filter the entangled spins is also discussed.

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