English

Time dependence of quantum entanglement in the collision of two particles

Quantum Physics 2015-05-30 v1

Abstract

We follow the emergence of quantum entanglement in a scattering event between two initially uncorrelated distinguishable quantum particles interacting via a delta potential. We calculate the time dependence of the Neumann entropy of the one-particle reduced density matrix. By using the exact propagator for the delta potential, we derive an approximate analytic formula for the asymptotic form of the two-particle wave function which is sufficiently accurate to account for the entanglement features of the system.

Keywords

Cite

@article{arxiv.1109.0184,
  title  = {Time dependence of quantum entanglement in the collision of two particles},
  author = {Mihaly G. Benedict and Judit Kovacs and Attila Czirjak},
  journal= {arXiv preprint arXiv:1109.0184},
  year   = {2015}
}