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08 February 2025
 
  » arxiv » 1109.0184

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Time dependence of quantum entanglement in the collision of two particles
Mihaly G. Benedict ; Judit Kovacs ; Attila Czirjak ;
Date 1 Sep 2011
AbstractWe 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.
Source arXiv, 1109.0184
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