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arXiv · 1109.0184

Time dependence of quantum entanglement in the collision of two particles

Mihaly G. Benedict·Judit Kovacs·Attila Czirjak
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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.

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Mihaly G. Benedict, Judit Kovacs, Attila Czirjak. 2011-09-01. Time dependence of quantum entanglement in the collision of two particles. https://doi.org/10.1088/1751-8113/45/8/085304

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