J4 ›› 2010, Vol. 27 ›› Issue (3): 293-299.

• Quantum Optics • Previous Articles     Next Articles

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

Yi Xue-Hua, Zhong Qing-Hu   

  1. School of Physics and Optical Information Sciences, Jiaying University, Guangdong Meizhou 514015, China
  • Received:2009-12-07 Revised:2009-12-21 Published:2010-05-28 Online:2010-05-11

Abstract:

The entanglement dependence of the Berry,s geometric phase is studied in the case of two spin-1/2 partics with a spin-spin interaction. The 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, we also discuss the geometric phase 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 the one of single particle which is acted by the external magnetic field, and we find that the result is relate to that affect the strength of entanglement. A general entanglement-dependence geometric phase is formulated.

Key words: quantum optics∣geometric phase∣dynamic phase∣spin-1/2 particle∣spin entanglement∣uniform magnetic field