Chinese Journal of Quantum Electronics, Volume. 27, Issue 3, 293(2010)

Berry’s geometric phase for two spin-1/2 particles in an entangled quantum system

Xue-hua YI* and Qing-hu ZHONG
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    The entanglement dependence of Berry’s geometric phase is studied in the case of two spin-1/2 particles with a spin-spin interaction. Berry’s phases for two spin-1/2 entanglement particles in the presence of spin-spin interaction and noninteraction are calculated, respectively. The expression of calculating geometric phase, when entanglement vanishes, is obtained. Moreover, the geometric phase is discussed when only one of the two particles is affected by the external magnetic field. It is shown that its geometric phase is not equal to that of single particle which is acted by the external magnetic field, and the result is related to α that affect the strength of entanglement. A general entanglement-dependence geometric phase is formulated.

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    YI Xue-hua, ZHONG Qing-hu. Berry’s geometric phase for two spin-1/2 particles in an entangled quantum system[J]. Chinese Journal of Quantum Electronics, 2010, 27(3): 293

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    Paper Information

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    Received: Dec. 7, 2009

    Accepted: --

    Published Online: Jul. 5, 2010

    The Author Email: Xue-hua YI (yixuehua2004@163.com)

    DOI:

    CSTR:32186.14.

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