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For a system composed of a three-mode cavity field interacting with a movable mirror, the time evolution operator of the system and its transformation are given, and the time evolution of the system state is obtained by means of quantum theory. The result shows that the state of the three-mode cavity field is in an entangled coherent state when the mirror returns to its original state, and the preparations of different entangled coherent states can be controlled. Nine different three-mode entangled coherent states are given, and the different phase factors of these states indicate the different reactions between the field and the movable mirror, which provides an important theoretical basis for the experimental preparations of controllable entangled coherent states.
[1] Qu Z J, Liu S D, Yang C L, Ma X G 2010 Chinese Journal of Quantum Electronics 27 63 (in Chinese)[曲照军, 柳盛典, 杨传路, 马晓光 2010 量子电子学报 27 63]
[2] Bose S, Jacobs K, Knight P L 1997 Phys. Rev. A 56 4175
[3] Mancini S, Man’ko V I, Tombesi P 1997 Phys. Rev. A 55 3042
[4] Wu C F, Chen J L, Kwek L C, Xue K 2005 Phys. Rev. A 71 022110
[5] Zhang Y J, Ren T Q, Xia Y J 2008 Chin. Phys. B 17 789
[6] Zhang S B 2008 Chin. Phys. B 17 2143
[7] Lu D M, Zheng S B 2009 Chin. Phys. B 18 1045
[8] Sanders B C 1992 Phys. Rev. A 45 6811
[9] Chai C L 1992 Phys. Rev. A 46 7187
[10] Zhou D L, Kuang L M 2009 Chin. Phys. B 18 1328
[11] Liu C L, Zheng Y Z 2006 Acta Phys. Sin. 55 6222 (in Chinese)[刘传龙, 郑亦庄 2006 55 6222]
[12] Cai X H, Guo J R, Nie J J, Jia J P 2006 Chin. Phys. 15 488
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[1] Qu Z J, Liu S D, Yang C L, Ma X G 2010 Chinese Journal of Quantum Electronics 27 63 (in Chinese)[曲照军, 柳盛典, 杨传路, 马晓光 2010 量子电子学报 27 63]
[2] Bose S, Jacobs K, Knight P L 1997 Phys. Rev. A 56 4175
[3] Mancini S, Man’ko V I, Tombesi P 1997 Phys. Rev. A 55 3042
[4] Wu C F, Chen J L, Kwek L C, Xue K 2005 Phys. Rev. A 71 022110
[5] Zhang Y J, Ren T Q, Xia Y J 2008 Chin. Phys. B 17 789
[6] Zhang S B 2008 Chin. Phys. B 17 2143
[7] Lu D M, Zheng S B 2009 Chin. Phys. B 18 1045
[8] Sanders B C 1992 Phys. Rev. A 45 6811
[9] Chai C L 1992 Phys. Rev. A 46 7187
[10] Zhou D L, Kuang L M 2009 Chin. Phys. B 18 1328
[11] Liu C L, Zheng Y Z 2006 Acta Phys. Sin. 55 6222 (in Chinese)[刘传龙, 郑亦庄 2006 55 6222]
[12] Cai X H, Guo J R, Nie J J, Jia J P 2006 Chin. Phys. 15 488
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