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在周期脉冲撞击的两分量Bose-Einstein凝聚系统中,研究了量子混沌对单粒子相干和对纠缠性质的影响.研究表明,混沌促使单粒子相干发生强烈衰减并保持着较低的相干度,同时对纠缠出现最大值并在较短时间后消失.利用单粒子相干的这种性质可以直接测量量子混沌存在的相空间结构,有利于预防Bose-Einstein凝聚的瓦解和控制凝聚体的混沌行为.
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关键词:
- Bose-Einstein凝聚 /
- 单粒子相干 /
- 对纠缠 /
- 混沌
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.-
Keywords:
- Bose-Einstein condensate /
- single particle coherence /
- pairwise entanglement /
- chaos
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[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)]
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[18] Shuryak E V 1996 Phys. Rev. A 54 3151
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[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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