[1] [1] Berry M V. Quantum phase factors accompanying adiabatic changes [J].Proc. R. Soc. A,1984,392: 45.

[2] [2] Geometric Phase in Physics [M],edited by A. Shapere and F. Wilczek. World Scientific,Singapore,1989,5: 187.

[3] [3] Chiao R Y,Wu Y S. Manifestations of berry's topological phase for the photon [J].Phys. Rev. Lett.,1986,57:933.

[4] [4] Mead C A. Molecular,Kramers degeneracy and non-Abelian adiabatic phase factors [J].Phys. Rev. Lett.,1987,59: 161.

[5] [5] Zhu S L,Wang Z D. Implementation of universal quantum gates based on nonadiabatic geometric phases [J].Phys. Rev. Lett.,2002,89: 097902.

[6] [6] Zhu S L,Wang Z D. Universal quantum gates based on a pair of orthogonal cyclic states: application to NMR systems [J].Phys. Rev. A,2003,67: 022319.

[7] [7] Pal D,Basu B,Bandyopadhyay P. Magnus force in high temperature superconductivity and Berry phase [J].Phys. Lett. A,2002,299: 304.

[8] [8] Li H Z. Quantum geometrical phases and mesoscopic persistent current [J].Chin. Phys. Lett.,2002,19: 153-155.

[10] [10] Aharonov Y,Anandan J. Phase change during a cyclic quantum evolution [J].Phys. Rev. Lett.,1987,58:1593-1596.

[12] [12] Carollo A,Fuentes-Guridi I,Santos M F,et al. Geometric phase in open systems [J].Phys. Rev. Lett.,2003,90:160402.

[14] [14] Fuentes G I,Carollo A,Bose S,et al. Vacuum induced spin-1/2 Berry's phase [J].Phys. Rev. Lett.,2002,89:220404.

[15] [15] Garrison J C,Wright E. Kinematic approach to the mixed state geometric phase in nonunitary evolution [J].Phys. Lett. A,1988,128: 177.

[16] [16] Chiara G D,Palma G M. Berry phase for a spin 12 particle in a classical fluctuating field [J].Phys. Rev. Lett.,2003,91: 090404.

[17] [17] Nazir A,Spiller T,Munro W J. Decoherence of geometric phase gates [J].Phys. Rev. A,2002,65: 042303.

[18] [18] Blais A,Tremblay A M S. Effect of noise on geometric logic gates for quantum computation [J].Phys. Rev. A,2003,67: 012308.