Time dependence of quantum entanglement in the collision of two particles

M. Benedict, Judit Kovács, Attila Czirják

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish
Article number085304
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number8
DOIs
Publication statusPublished - Mar 2 2012

Fingerprint

Quantum entanglement
Quantum Entanglement
Time Dependence
Wave functions
time dependence
Entropy
Collision
Scattering
collisions
Density Matrix
Propagator
Entanglement
entropy
Calculate
propagation
scattering

ASJC Scopus subject areas

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

Cite this

Time dependence of quantum entanglement in the collision of two particles. / Benedict, M.; Kovács, Judit; Czirják, Attila.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 45, No. 8, 085304, 02.03.2012.

Research output: Contribution to journalArticle

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