Limits on entanglement in rotationally-invariant scattering of spin systems

Abstract

This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally-invariant scattering. The spin degrees of freedom of the in-states are assumed to be in unentangled, pure states, as defined by the entropy of entanglement. Because of the restriction of rotationally-symmetric interactions, perfectly-entangling S-matrices, i.e. those that lead to a maximally entangled out-state, only exist for a certain class of separable in-states. Using Clebsch-Gordan coefficients for the rotation group, the scattering phases that determine the S-matrix are determined for the case of spin systems with $\sigma =1/2$, 1, and 3/2.

6 pages, no figures; v.2: sections added, edited for clarity, conclusions and calculation unchanged, typos corrected; v.3: new abstrct, revised first two sections, added references

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Cited by in corpus (6)

• Galilean and Dynamical Invariance of Entanglement in Particle Scattering
• Relativistic Quantum Mechanics and Relativistic Entanglement in the Rest-Frame Instant Form of Dynamics
• Entanglement Mechanisms in One-Dimensional Potential Scattering
• Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle
• Understanding entangled spins in QED
• Model-independent inference of quantum interaction from statistics