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Phys. Rev. A 73, 022339 (2006) [7 pages]

Entanglement evolution of one-dimensional spin systems in external magnetic fields

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Zhen Huang and Sabre Kais
Department of Chemistry, Purdue University, West Lafayette, Indiana 47907, USA

Received 18 September 2005; published 23 February 2006

Westudy the dynamics of entanglement for a one-dimensional spin system,where spins are coupled through nearest-neighbor exchange interaction and subjectto different external magnetic fields. First we examine the systemsize effect on the entanglement with three different external magneticfields changing with time t: an exponential function e^[–Kt] andtwo periodic sin[Kt] and cos[Kt] functions, where K is acontrol parameter. We have found that the entanglement fluctuates shortlyafter a disturbance by an external magnetic field when thesystem size is small. For larger system size, the entanglementreaches a stable state for a long time before itfluctuates. However, this fluctuation of entanglement disappears when the systemsize goes to infinity. We also show that in aperiodic external magnetic field, the nearest-neighbor entanglement displays a periodicstructure with a period related to that of the magneticfield. Moreover, changing the direction of the magnetic field willdestroy the concurrence in the system.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.022339
DOI:	10.1103/PhysRevA.73.022339
PACS:	03.67.Mn; 76.60.Lz; 03.65.Yz 03.67.Mn Quantum entanglement production, characterization, and manipulation 76.60.Lz Spin echoes (condensed matter NMR) 03.65.Yz Decoherence; open systems; quantum statistical methods YEAR: 2006
KEYWORDS:	quantum entanglement, fluctuations, magnetic fields

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