Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction

doi:10.1088/1674-1056/19/1/010305

Abstract We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski--Moriya (DM) anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition (QPT). It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.

Keywords: entanglement geometric phase quantum phase transition

Received: 06 December 2008
Revised: 15 May 2009
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.67.Lx	(Quantum computation architectures and implementations)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	75.10.Jm	(Quantized spin models, including quantum spin frustration)

Fund: Project supported by the Natural Science Foundation for Young Scientists of Shanxi Province of China (Grant No. 2007021001), the Science and Technology Key Item of Chinese Ministry of Education (Grant No. 207017), National Fundamental Fund of Personnel Training (Grant No. J0730317) and the National Natural Science Foundation of China (Grant No. 10774094).

Cite this article:

Li Zhi-Jian(李志坚), Cheng Lu(程璐), and Wen Jiao-Jin(温姣进) Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction 2010 Chin. Phys. B 19 010305

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Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction

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