Information Geometric Modeling of Scattering Induced Quantum Entanglement

Details Information Geometric Modeling of Scattering Induced Quantum Entanglement Information Geometric Modeling of Scattering Induced Quantum Entanglement

2010-12-21

arxiv.org/abs/1012.4589v2

Physics Letters A375, 2868 (2011)

Physics

Mathematical Physics

7 pages; v2 is better than v1

Scientific paper

We present an information geometric analysis of entanglement generated by an s-wave scattering between two Gaussian wave packets. We conjecture that the pre and post-collisional quantum dynamical scenarios related to an elastic head-on collision are macroscopic manifestations emerging from microscopic statistical structures. We then describe them by uncorrelated and correlated Gaussian statistical models, respectively. This allows us to express the entanglement strength in terms of scattering potential and incident particle energies. Furthermore, we show how the entanglement duration can be related to the scattering potential and incident particle energies. Finally, we discuss the connection between entanglement and complexity of motion.

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