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Nonadiabatic Geometric Phase in Composite Systems and Its Subsystem |
LI Xin |
Faculty of Science, Kunming University of Science and Technology, Kunming 650093 |
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Cite this article: |
LI Xin 2008 Chin. Phys. Lett. 25 3852-3855 |
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Abstract We point out that the time-dependent gauge transformation technique may be effective in investigating the nonadiabatic geometric phase of a subsystem in a composite system. As an example, we consider two uniaxially coupled spin -1/2 particles with one of particles driven by rotating magnetic field. The influences of coupling and precession frequency of the magnetic field on geometric phase are also discussed in detail.
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Keywords:
03.65.Vf
03.67.-w
03.67.-a
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Received: 08 August 2008
Published: 25 October 2008
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[1] Berry M 1984 Proc. R. Soc. A 392 45 [2] Simon B 1983 Phys. Rev. Lett. 51 2167 [3] Aharonov Y and Anandan J 1987 Phys. Rev. Lett. 58 1593 [4] Samuel J and Bhandari R 1988 Phys. Rev. Lett. 60 2339 [5] Fuentes-Guridi I, Carollo A, Bose S and Vedral V 2002 Phys. Rev. Lett. 89 220404 [6] Wong H M, Cheng K M and Chu M C 2005 Phys. Rev. Lett. 94 070406 [7] Carollo A, Fuentes-Guridi I, Santos M F and Vedral V 2003 Phys. Rev. Lett. 90 160402 [8] Manini N and Pistolesi F 2000 Phys. Rev. Lett 85 3067 [9] Macchiavello C, Palma G M and Zeilinger A 2000 Quantum Computation and Quantum Information Theory (Singapore: World Scientific) [10] Jones J A, Vedral V, Ekert A and Castagnoll G 2000 Nature 403 869 [11] Yusa G, Muraki K, Takashina K, Hashimoto K and Hirayama Y 2005 Nature 434 1001 [12] Uhlmann A 1986 Rep. Math. Phys. 24 229 Uhlmann A 1991 Lett. Math. Phys. 21 229 Uhlmann A 1996 J. Geom. Phys. 18 76 [13] Sj\"{oqvist E, Pati A K, Ekert A, Anandan J S, Ericsson M, Oi D K L and Vedral V 2000 Phys. Rev. Lett. 85 2845 [14] Du J F, Zou P, Shi M, Kwek L C, Pan J W, Oh C H, Ekert A, Oi D K L and Ericson M 2003 Phys. Rev. Lett. 91 100403 [15] Singh K, Tong D M, Basu K, Chen J L and Du J F 2003 Phys. Rev. A 67 032106 [16] Tong D M, Sj\"{oqvist E, Kwek L C, Oh C H and Ericsson M 2003 Phys. Rev. A 68 022106 [17] Yi X X, Wang L C and Zheng T Y 2004 Phys. Rev. Lett. 92 150406 [18] Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94 [19] Liang J Q and M\"{uller-Kirsten H J W 1992 Ann. Phys. (N.Y.) 219 42 [20] Yi X X and Sj\"{oqvist E 2004 Phys. Rev. A 70 042104 [21] Mukunda N and Simon R 1993 Ann. Phys. (N.Y.) 228 205 [22] For a review, see Laflamme R et al Preprint quant-ph/0207172 |
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