Time dependence of quantum entanglement in the collision of two particles

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...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 45; no. 8; pp. 85304 - 8
Main Authors Benedict, Mihály G, Kovács, Judit, Czirják, Attila
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 02.03.2012
IOP
Subjects
Approximation
Asymptotic properties
Deltas
Density
Entanglement
entanglement production
Exact sciences and technology
Mathematical analysis
Particles (of physics)
Physics
Quantum mechanics
Time dependence
Time dependence
Entropy
Wave functions
Quantum entanglement
Reduced density matrix
Propagator
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/45/8/085304