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The influence of the quantum chaos on the single-particle coherence and the pairwise entanglement is investigated in a two-component Bose-Einstein condensate impacted by periodic impulses. The results reveal that the single-particle coherence decays strongly when driven by chaos and keeps a lower degree of coherence. Simultaneously, there apears the maximal pairwise entanglement and it disappears after a short time. By using the properties of the single-particle coherence, we can measure directly the structure of the phase space in which the chaos exists, and this contributes to prevent the collapse of a Bose-Einstein condensate and control the chaotic behavior.
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Keywords:
- Bose-Einstein condensate /
- single particle coherence /
- pairwise entanglement /
- chaos
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] 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
[3] Greiner M, Mandel O, Hansch T W, Bloch I 2002 Nature 419 51
[4] Smerzi A, Fantoni S 1997 Phys. Rev. Lett. 78 3589
[5] 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 物理学报 58 3679]
[6] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p20
[7] Zhou M, Fang J Y, Huang C J 2003 Acta Phys. Sin. 52 1916 (in Chinese) [周 明、 方家元、 黄春佳 2003 物理学报 52 1916]
[8] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马 云、 傅立斌、 杨志安、 刘 杰 2006 物理学报 55 5623]
[9] Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582
[10] Anderson B P, Kasevich M A 1998 Science 282 1686
[11] Xie Q T 2006 Ph. D. Dissertation (Changsha: Hunan Normal University) (in Chinese) [谢琼涛 2006 博士学位论文 (长沙: 湖南师范大学)]
[12] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[13] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[14] Jin G R, Law C K 2008 Phys. Rev. A 78 063620
[15] Fang Y C, Yang Z A, Yang L Y 2005 Acta Phys. Sin. 54 0661 (in Chinese) [房永翠、 杨志安、 杨丽云 2005 物理学报 54 0661]
[16] Wang H L, Yang S P 2008 Acta Phys. Sin. 57 4700 (in Chinese) [王海雷、 杨世平 2008 物理学报 57 4700]
[17] 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 物理学报 54 5003] 〖18] Baym G, Pethick C J 1996 Phys. Rev. Lett. 76 6
[18] Shuryak E V 1996 Phys. Rev. A 54 3151
[19] Haake F 1991 Quantum Signature of Chaos (Springer: Berlin) p64
[20] Schack R, D’Ariano G M, Caves C M 1994 Phys. Rev. E 50 972
[21] Schumm T, Hofferberth S, Andersson L M, Wildermuth S, Groth S, Bar-Joseph I, Schmiedmayer I, Krueger P 2005 Nature 1 57
[22] Chuu C-S, Schreck F, Meyrath T P, Hanssen J L, Price G N, Raizen M G 2005 Phys. Rev. Lett. 95 260403
[23] Jo G B, Shin Y, Will S, Pasquini T A, Saba M, Ketterle W, Pritchard D E 2007 Phys. Rev. Lett. 98 030407
[24] Widera A , Trotzky S, Cheinet P, Flling S, Gerbier F, Bloch I 2008 Phys. Rev. Lett. 100 140401
[25] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[26] Wang X G, Mlmer 2002 Eur. Phys. J. D 18 385
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[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] 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
[3] Greiner M, Mandel O, Hansch T W, Bloch I 2002 Nature 419 51
[4] Smerzi A, Fantoni S 1997 Phys. Rev. Lett. 78 3589
[5] 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 物理学报 58 3679]
[6] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p20
[7] Zhou M, Fang J Y, Huang C J 2003 Acta Phys. Sin. 52 1916 (in Chinese) [周 明、 方家元、 黄春佳 2003 物理学报 52 1916]
[8] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马 云、 傅立斌、 杨志安、 刘 杰 2006 物理学报 55 5623]
[9] Mewes M O, Andrews M R, Kurn D M, Durfee D S, Townsend C G, Ketterle W 1997 Phys. Rev. Lett. 78 582
[10] Anderson B P, Kasevich M A 1998 Science 282 1686
[11] Xie Q T 2006 Ph. D. Dissertation (Changsha: Hunan Normal University) (in Chinese) [谢琼涛 2006 博士学位论文 (长沙: 湖南师范大学)]
[12] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[13] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[14] Jin G R, Law C K 2008 Phys. Rev. A 78 063620
[15] Fang Y C, Yang Z A, Yang L Y 2005 Acta Phys. Sin. 54 0661 (in Chinese) [房永翠、 杨志安、 杨丽云 2005 物理学报 54 0661]
[16] Wang H L, Yang S P 2008 Acta Phys. Sin. 57 4700 (in Chinese) [王海雷、 杨世平 2008 物理学报 57 4700]
[17] 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 物理学报 54 5003] 〖18] Baym G, Pethick C J 1996 Phys. Rev. Lett. 76 6
[18] Shuryak E V 1996 Phys. Rev. A 54 3151
[19] Haake F 1991 Quantum Signature of Chaos (Springer: Berlin) p64
[20] Schack R, D’Ariano G M, Caves C M 1994 Phys. Rev. E 50 972
[21] Schumm T, Hofferberth S, Andersson L M, Wildermuth S, Groth S, Bar-Joseph I, Schmiedmayer I, Krueger P 2005 Nature 1 57
[22] Chuu C-S, Schreck F, Meyrath T P, Hanssen J L, Price G N, Raizen M G 2005 Phys. Rev. Lett. 95 260403
[23] Jo G B, Shin Y, Will S, Pasquini T A, Saba M, Ketterle W, Pritchard D E 2007 Phys. Rev. Lett. 98 030407
[24] Widera A , Trotzky S, Cheinet P, Flling S, Gerbier F, Bloch I 2008 Phys. Rev. Lett. 100 140401
[25] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[26] Wang X G, Mlmer 2002 Eur. Phys. J. D 18 385
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