Rising time of entanglement between scattering spins

TL;DR

This paper studies how entanglement develops over time when a moving particle scatters off static spins, revealing that entanglement grows monotonically and saturates, with transient time depending on wavepacket properties.

Contribution

It demonstrates that the transient time for entanglement rise depends solely on wavepacket group velocity and width, independent of interaction details or spin number.

Findings

Entanglement increases monotonically during scattering.

Transient time depends only on wavepacket properties.

Steady-state entanglement is reached after a finite time.

Abstract

We investigate the time evolution of entanglement in a process where a mobile particle is scattered by static spins. We show that entanglement increases monotonically during a transient and then saturates to a steady-state value. For a quasi-monochromatic mobile particle, the transient time depends only on the group-velocity and width of the incoming wavepacket and is insensitive to the interaction strength and spin-number of the scattering particles. These features do not depend on the interaction model and can be seen in various physical settings.