### 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 language | English |
---|---|

Article number | 085304 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 45 |

Issue number | 8 |

DOIs | |

Publication status | Published - Mar 2 2012 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*45*(8), [085304]. https://doi.org/10.1088/1751-8113/45/8/085304

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

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 45, no. 8, 085304. https://doi.org/10.1088/1751-8113/45/8/085304

}

TY - JOUR

T1 - Time dependence of quantum entanglement in the collision of two particles

AU - Benedict, M.

AU - Kovács, Judit

AU - Czirják, Attila

PY - 2012/3/2

Y1 - 2012/3/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84857153511&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857153511&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/45/8/085304

DO - 10.1088/1751-8113/45/8/085304

M3 - Article

AN - SCOPUS:84857153511

VL - 45

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 8

M1 - 085304

ER -