### 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. Using the exact propagator for the delta potential, we derive an approximate analytic formula for the asymptotic form of the two-particle wavefunction which is sufficiently accurate to account for the entanglement features of the system.

Original language | English |
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Article number | 085304 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 45 |

Issue number | 8 |

DOIs | |

Publication status | Published - Mar 2 2012 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Benedict, M. G., Kovács, J., & Czirják, A. (2012). Time dependence of quantum entanglement in the collision of two particles.

*Journal of Physics A: Mathematical and Theoretical*,*45*(8), [085304]. https://doi.org/10.1088/1751-8113/45/8/085304