Time dependence of quantum entanglement in the collision of two particles

Mihláy G. Benedict, Judit Kovács, Attila Czirják

Research output: Contribution to journalArticle

16 Citations (Scopus)


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 languageEnglish
Article number085304
JournalJournal of Physics A: Mathematical and Theoretical
Issue number8
Publication statusPublished - 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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