Abstract

The quantum phase and the related fields have attracted considerable attention. The geometric phase of spin-1/2 particle in the magnetic field has been discussed comprehensively, but few of spin-1. In this paper, the exact solution of spin-1 was obtained by using rotational frame method. The problems of the Rabi oscillation, dynamical phase, and geometric phase were solved.

© 2006 Chinese Optics Letters

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  21. Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

2005 (3)

Y. M. Gao and L. Hu, Chin. J. Quantum Electron. (in Chinese) 12, 184 (2005).

Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

J. Song, Y. Feng, C. Gan, L. Li, Y. Li, X. Yu, H. Ge, R. Ma, C. Li, X. Zhang, Y. Zhang, and K. Lu, Chin. Opt. Lett. 3, 230 (2005).

2004 (1)

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

2002 (1)

S. L. Zhu and Z. D. Wang, Phys. Rev. Lett. 89, 097902 (2002).

2001 (2)

L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001).

X. B. Wang and M. Keiji, Phys. Rev. Lett. 87, 097901 (2001).

2000 (3)

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

S.-L. Zhu, Z. D. Wang, and Y.-D. Zhang, Phys. Rev. B 61, 1142 (2000).

1991 (1)

S.-M. Cui and H.-H. Xu, Phys. Rev. A 44, 3343 (1991).

1989 (2)

S. S. Mizrahi, Phys. Lett. A 138, 465 (1989).

J. Zak, Phys. Rev. B 40, 3156 (1989).

1987 (4)

R. Tycko, Phys. Rev. Lett. 58, 2281 (1987).

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987).

Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).

1986 (1)

A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).

1984 (1)

M. V. Berry, Proc. Roy. Soc. A 392, 45 (1984).

1979 (1)

C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).

Aharonov, Y.

Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).

Anandan, J.

Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).

Berry, M. V.

M. V. Berry, Proc. Roy. Soc. A 392, 45 (1984).

Bitter, T.

T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987).

Carllo, A.

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

Castagnoli, G.

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

Chiao, R. Y.

A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).

Chingas, G. C.

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

Cirac, J. I.

L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001).

Cui, S.-M.

S.-M. Cui and H.-H. Xu, Phys. Rev. A 44, 3343 (1991).

Duan, L. M.

L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001).

Dubbers, D.

T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987).

Ekert, A.

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

Falci, G.

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

Fazio, R.

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

Feng, Y.

Fuentes-Guridi, I.

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

Gan, C.

Gao, Y.

Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

Gao, Y. M.

Y. M. Gao and L. Hu, Chin. J. Quantum Electron. (in Chinese) 12, 184 (2005).

Ge, H.

Harris, R. A.

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

Hu, L.

Y. M. Gao and L. Hu, Chin. J. Quantum Electron. (in Chinese) 12, 184 (2005).

Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

Jones, J. A.

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

Keiji, M.

X. B. Wang and M. Keiji, Phys. Rev. Lett. 87, 097901 (2001).

Li, C.

Li, L.

Li, Y.

Lu, K.

Ma, R.

Mead, C. A.

C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).

Mizrahi, S. S.

S. S. Mizrahi, Phys. Lett. A 138, 465 (1989).

Palma, G. M.

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

Pines, A.

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

Santos, M. F.

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

Siewert, J.

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

Song, J.

Suter, D.

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

Tomita, A.

A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).

Truhlar, D. G.

C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).

Tycko, R.

R. Tycko, Phys. Rev. Lett. 58, 2281 (1987).

Vedral, V.

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

Wang, X. B.

X. B. Wang and M. Keiji, Phys. Rev. Lett. 87, 097901 (2001).

Wang, Z. D.

S. L. Zhu and Z. D. Wang, Phys. Rev. Lett. 89, 097902 (2002).

S.-L. Zhu, Z. D. Wang, and Y.-D. Zhang, Phys. Rev. B 61, 1142 (2000).

Xu, H.-H.

S.-M. Cui and H.-H. Xu, Phys. Rev. A 44, 3343 (1991).

Yu, X.

Zak, J.

J. Zak, Phys. Rev. B 40, 3156 (1989).

Zhang, X.

Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

J. Song, Y. Feng, C. Gan, L. Li, Y. Li, X. Yu, H. Ge, R. Ma, C. Li, X. Zhang, Y. Zhang, and K. Lu, Chin. Opt. Lett. 3, 230 (2005).

Zhang, Y.

Zhang, Y.-D.

S.-L. Zhu, Z. D. Wang, and Y.-D. Zhang, Phys. Rev. B 61, 1142 (2000).

Zhu, S. L.

S. L. Zhu and Z. D. Wang, Phys. Rev. Lett. 89, 097902 (2002).

Zhu, S.-L.

S.-L. Zhu, Z. D. Wang, and Y.-D. Zhang, Phys. Rev. B 61, 1142 (2000).

Zoller, P.

L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001).

Chin. J. Quantum Electron. (in Chinese) (1)

Y. M. Gao and L. Hu, Chin. J. Quantum Electron. (in Chinese) 12, 184 (2005).

Chin. Opt. Lett. (1)

J. Chem. Phys. (1)

C. A. Mead and D. G. Truhlar, J. Chem. Phys. 70, 2284 (1979).

J. South China Normal University (in Chinese) (1)

Y. Gao, L. Hu, and X. Zhang, J. South China Normal University (in Chinese) 1, 60 (2005).

Mol. Phys. (1)

D. Suter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).

Nature (2)

G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature 407, 355 (2000).

J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature 403, 869 (2000).

Phys. Lett. A (1)

S. S. Mizrahi, Phys. Lett. A 138, 465 (1989).

Phys. Rev. A (1)

S.-M. Cui and H.-H. Xu, Phys. Rev. A 44, 3343 (1991).

Phys. Rev. B (2)

J. Zak, Phys. Rev. B 40, 3156 (1989).

S.-L. Zhu, Z. D. Wang, and Y.-D. Zhang, Phys. Rev. B 61, 1142 (2000).

Phys. Rev. Lett. (7)

A. Carllo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. 92, 020402 (2004).

Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58, 1593 (1987).

T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987).

A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).

R. Tycko, Phys. Rev. Lett. 58, 2281 (1987).

X. B. Wang and M. Keiji, Phys. Rev. Lett. 87, 097901 (2001).

S. L. Zhu and Z. D. Wang, Phys. Rev. Lett. 89, 097902 (2002).

Proc. Roy. Soc. A (1)

M. V. Berry, Proc. Roy. Soc. A 392, 45 (1984).

Science (1)

L. M. Duan, J. I. Cirac, and P. Zoller, Science 292, 1695 (2001).

Other (1)

H. Li, Global Properties Simple Physical Systems - Berry's Phase and Others (Shanghai Scientific and Technical Publishers, Shanghai, 1998) p.147.

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