Entanglement Generation by a Scattering Process with a Moving Particle

이혁재

Morteza Rafiee, Morteza Soltani

Ebrahim Ghanbari-Adivi, M. Soltani, H. Ebtekarnasab

Jinbo Fan, Xinfei Li

We study the properties of entanglement entropy among scattering particles as observed from different inertial moving frames, based on an exemplary QED process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$. By the explicit calculation of the Wigner rotation, the entanglement entropy of scattering particles is found to be Lorentz invariant. We also study the behavior of the entanglement between spin degrees of freedom for scattering particles in moving frames. This quantity, being found to change with different inertial reference frames, does not exhibit as a Lorentz invariant.

K. Mishima, Michitoshi Hayashi, S. H. Lin

Frank Schmüser, Dominik Janzing

We analyze the entanglement generation in a one-dimensional scattering process. The two colliding particles have a Gaussian wave function and interact by hard-core repulsion. In our analysis, results on the entanglement of two-mode Gaussian states are used. The produced entanglement depends in a nonobvious way on the ratio of masses and initial widths for the two particles. The asymptotic wave function of the two particles and its associated ellipse yield additional geometric insight into these conditions. We discuss the difference from the quantitative analysis of the amount of entanglement generated by beam splitters with squeezed light.