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Quantum Fisher information,derived from the classical Fisher information, is closely related to the quantum entanglement in quantum information. The entanglement and the quantum information which are both associated with the classical phase space are investigated in a two-component Bose-Einstein condensate impacted by the impulses. The results reveal that the states regardless of disorder of the phase space after the first impulse are entangled. However, the quantum information is very sensitive to the state centred in the classical phase space, concretely, the value of the quantum information centred in the chaotic region is greater than in the regular region. By employing the good quantum-classical correspondence, we conclude that the quantum information can serve as a signature of the quantum chaos.
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Keywords:
- quantum Fisher information /
- Bose-Einstein condensate /
- quantum chaos /
- quantum-classical correspondence
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] [3] Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4] [5] Smerzi A, Fantoni S 1997 Phys. Rev. Lett. 78 3589
[6] [7] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳、傅立斌、赵 鸿、刘 杰 2005 54 5003]
[8] [9] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 93 074101
[10] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
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[16] Wang X G, Ghose S, Sanders B C, Hu B 2004 Phys. Rev. E 70 016217
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[22] Weinstein Y S, Hellberg C S 2005 Phys. Rev. E 71 016209
[23] [24] [25] Zhang Y J, Xia Y J, Ren T Q, Du X M, Liu Y L 2009 Acta Phys. Sin. 58 722 (in Chinese) [张英杰、夏云杰、任延琦、杜秀梅、刘玉玲 2009 58 722]
[26] [27] Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) [郭 亮、梁先庭2009 58 50]
[28] Meng S Y, Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese) [孟少英、吴 炜 2009 58 5311]
[29] [30] [31] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[32] Gorin T, Prosen T, Seligman T H, Znidaric M 2006 Phys. Rep. 435 33
[33] [34] Song L J, Wang X G, Yan D, Zong Z G 2006 J. Phys. B 39 559
[35] [36] Song L J, Yan D, Ma J, Wang X G 2009 Phys. Rev. E 79 046220
[37] [38] [39] Yan D, Song L J, Chen D W 2009 Acta Phys. Sin. 58 3679 (in Chinese) [严 冬、宋立军、陈殿伟 2009 58 3679]
[40] Pezz L, Smerzi A 2009 Phys. Rev. Lett. 102 100401
[41] [42] Haake F 1991 Quantum Signature of Chaos (Berlin: Springer)
[43] [44] [45] Hall M J W 2000 Phys. Rev. A 62 012107
[46] Weiss C, Teichmann N 2009 J. Phys. B 42 031001
[47] [48] Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press)
[49] [50] Wineland D J, Bollinger J J, Itano W M, Moore F L, Heinzen D J 1992 Phys. Rev. A 46 R6797
[51] -
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] [3] Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4] [5] Smerzi A, Fantoni S 1997 Phys. Rev. Lett. 78 3589
[6] [7] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳、傅立斌、赵 鸿、刘 杰 2005 54 5003]
[8] [9] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 93 074101
[10] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[11] [12] Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 661 (in Chinese) [房永翠、杨志安、杨丽云 2008 57 661]
[13] [14] [15] Furuya K, Nemes M C, Pellegrino G Q 1998 Phys. Rev. Lett. 80 5524
[16] Wang X G, Ghose S, Sanders B C, Hu B 2004 Phys. Rev. E 70 016217
[17] [18] [19] Hou X W, Chen J H, Hu B 2005 Phys. Rev. A 71 034302
[20] [21] Emerson J, Weinstein Y S, Lloyd S, Cory D G 2002 Phys. Rev. Lett. 89 284102
[22] Weinstein Y S, Hellberg C S 2005 Phys. Rev. E 71 016209
[23] [24] [25] Zhang Y J, Xia Y J, Ren T Q, Du X M, Liu Y L 2009 Acta Phys. Sin. 58 722 (in Chinese) [张英杰、夏云杰、任延琦、杜秀梅、刘玉玲 2009 58 722]
[26] [27] Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) [郭 亮、梁先庭2009 58 50]
[28] Meng S Y, Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese) [孟少英、吴 炜 2009 58 5311]
[29] [30] [31] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[32] Gorin T, Prosen T, Seligman T H, Znidaric M 2006 Phys. Rep. 435 33
[33] [34] Song L J, Wang X G, Yan D, Zong Z G 2006 J. Phys. B 39 559
[35] [36] Song L J, Yan D, Ma J, Wang X G 2009 Phys. Rev. E 79 046220
[37] [38] [39] Yan D, Song L J, Chen D W 2009 Acta Phys. Sin. 58 3679 (in Chinese) [严 冬、宋立军、陈殿伟 2009 58 3679]
[40] Pezz L, Smerzi A 2009 Phys. Rev. Lett. 102 100401
[41] [42] Haake F 1991 Quantum Signature of Chaos (Berlin: Springer)
[43] [44] [45] Hall M J W 2000 Phys. Rev. A 62 012107
[46] Weiss C, Teichmann N 2009 J. Phys. B 42 031001
[47] [48] Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press)
[49] [50] Wineland D J, Bollinger J J, Itano W M, Moore F L, Heinzen D J 1992 Phys. Rev. A 46 R6797
[51]
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