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Phys. Rev. B 80, 165313 (2009) [6 pages]

Rising time of entanglement between scattering spins

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Francesco Ciccarello1, Mauro Paternostro2, G. Massimo Palma3, and Michelangelo Zarcone1
1Dipartimento di Fisica e Tecnologie Relative and CNISM, Università degli Studi di Palermo, Viale delle Scienze, Edificio 18, I-90128 Palermo, Italy
2School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom
3Dipartimento di Scienze Fisiche ed Astronomiche and NEST-INFM (CNR), Università degli Studi di Palermo, Via Archirafi 36, I-90123 Palermo, Italy

Received 29 April 2009; published 9 October 2009

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 quasimonochromatic mobile particle, the transient time depends only on the group velocity and width of the incoming wave packet 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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.165313
DOI:
10.1103/PhysRevB.80.165313
PACS:
03.65.Ud, 03.67.Bg, 03.67.Hk