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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10305-010305.doi: 10.1088/1674-1056/19/1/010305

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

李志坚, 程璐, 温姣进

Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China

收稿日期:2008-12-06 修回日期:2009-05-15 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
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).

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

Li Zhi-Jian(李志坚)^†, Cheng Lu(程璐), and Wen Jiao-Jin(温姣进)

Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China

Received:2008-12-06 Revised:2009-05-15 Online:2010-01-15 Published:2010-01-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: entanglement, geometric phase, quantum phase transition

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

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)

李志坚, 程璐, 温姣进. Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction[J]. 中国物理B, 2010, 19(1): 10305-010305.

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[J]. Chin. Phys. B, 2010, 19(1): 10305-010305.

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

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

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