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借助在Majorana表象下提出的纠缠度定义, 研究了对称双阱中两个玻色原子组成的系统的纠缠动力学. 得到了系统的任意态在Majorana 表象下的表示, 并考察了原子间相互作用及系统初始状态对纠缠度动力学的影响. 发现原子间相互作用会决定纠缠度振荡的频率, 而纠缠度振荡的幅度对系统的初态很敏感.
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关键词:
- Majorana表象 /
- 量子纠缠
With the help of the newly proposed definition of entanglement, the entanglement dynamics of a system composed of two bosonic atoms trapped in a symmetric double-well potential is investigated. For any state of this system, the description of Majorana representation can be analytically derived. It is found that the entanglement dynamics depends on both the atomic interaction and the initial state of the system. Specifically, the atomic interaction determines the oscillation frequency of the entanglement degree, whereas the initial state controls the oscillation amplitude.-
Keywords:
- Majorana representation /
- quantum entanglement
[1] Nielsen M, Chuang I 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge Univ. Press)
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
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[5] Jennewein T, Simon C, Weihs G, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 84 4729
[6] Opatrný T, Kurizki G 2001 Phys. Rev. Lett. 86 3180
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[9] Gühne O, Tóth G 2009 Phys. Rep. 474 1
[10] Lastra F, López C E, Roa L, Retamal J C 2012 Phys. Rev. A 85 022320
[11] Li M, Fei S M 2012 Phys. Rev. A 85 014304
[12] Fu L B, Liu J 2006 Phys. Rev. A 74 063614
[13] 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]
[14] 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 55 5623]
[15] Majorana E 1932 Nuovo Cimento 9 43
[16] Ganczarek W, Kuś M, Życzkowski K 2012 Phys. Rev. A 85 032314
[17] Bruno P 2012 Phys. Rev. Lett. 108 240402
[18] Hald J, Sorensen J L, Schori C, Polzik E S 1999 Phys. Rev. Lett. 83 1319
[19] Josse V, Dantan A, Bramati A, Pinard M, Giacobino E 2004 Phys. Rev. Lett. 92 123601
[20] Jaksch D, Briegel H-J, Gardiner C W, Zoller P 1999 Phys. Rev. Lett. 82 1975
[21] Jaksch D, Zoller P 2005 Ann. Phys. 315 52
[22] Lee C, Huang J, Deng H, Dai H, Xu J 2012 Front. Phys. 7 109
[23] Lee C 2006 Phys. Rev. Lett. 97 150402
[24] Fölling S, Trotzky S, Cheinet P, Feld M, Saers R, Widera A, Müller T, Bloch I 2007 Nature 448 1029
[25] Cao H, Zhao Q 2010 Acta Phys. Sin. 59 2187 (in Chinese) [曹辉,赵清 2010 59 2187]
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[1] Nielsen M, Chuang I 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge Univ. Press)
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[3] Masanes L, Pironio S, Acin A 2011 Nature Commun. 2 238
[4] Bennett C H 1992 Phys. Rev. Lett. 68 3121
[5] Jennewein T, Simon C, Weihs G, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 84 4729
[6] Opatrný T, Kurizki G 2001 Phys. Rev. Lett. 86 3180
[7] Li Y L, Feng J, Yu Y F 2007 Acta Phys. Sin. 56 6797 (in Chinese) [李艳玲, 冯健, 於亚飞 2007 56 6797]
[8] Sun C P 2000 Physics 29 457 (in Chinese) [孙昌璞 2000 物理 29 457]
[9] Gühne O, Tóth G 2009 Phys. Rep. 474 1
[10] Lastra F, López C E, Roa L, Retamal J C 2012 Phys. Rev. A 85 022320
[11] Li M, Fei S M 2012 Phys. Rev. A 85 014304
[12] Fu L B, Liu J 2006 Phys. Rev. A 74 063614
[13] 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]
[14] 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 55 5623]
[15] Majorana E 1932 Nuovo Cimento 9 43
[16] Ganczarek W, Kuś M, Życzkowski K 2012 Phys. Rev. A 85 032314
[17] Bruno P 2012 Phys. Rev. Lett. 108 240402
[18] Hald J, Sorensen J L, Schori C, Polzik E S 1999 Phys. Rev. Lett. 83 1319
[19] Josse V, Dantan A, Bramati A, Pinard M, Giacobino E 2004 Phys. Rev. Lett. 92 123601
[20] Jaksch D, Briegel H-J, Gardiner C W, Zoller P 1999 Phys. Rev. Lett. 82 1975
[21] Jaksch D, Zoller P 2005 Ann. Phys. 315 52
[22] Lee C, Huang J, Deng H, Dai H, Xu J 2012 Front. Phys. 7 109
[23] Lee C 2006 Phys. Rev. Lett. 97 150402
[24] Fölling S, Trotzky S, Cheinet P, Feld M, Saers R, Widera A, Müller T, Bloch I 2007 Nature 448 1029
[25] Cao H, Zhao Q 2010 Acta Phys. Sin. 59 2187 (in Chinese) [曹辉,赵清 2010 59 2187]
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