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利用Majorana表象，从平均场模型和二次量子化模型两方面研究了非线性双模玻色子系统的动力学问题.得到了Majorana点在球面上的运动方程，分析了平均场模型和二次量子化模型之间的区别及其在Majorana点运动方程中的体现.研究了二次量子化模型中量子态在少体和多体情况下的动力学演化及其与平均场量子态的区别和联系.以平均场模型和二次量子化模型量子态之间的保真度和Majorana点之间的关联为手段，讨论了在不同玻色子间相互作用强度、不同玻色子数下量子态的演化及相应的自囚禁效应.
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关键词:
- Majorana表象 /
- 自囚禁效应 /
- 平均场近似
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[2] Majorana E 1932 Nuovo Cim. 9 43
[3] Stamper-Kurn D M, Ueda M 2013 Rev. Mod. Phys. 85 1191
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[24] Micheli A, Jaksch D, Cirac J I, Zoller P 2003 Phys. Rev. A 67 013607
[25] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[26] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[27] Wu B, Niu Q, New J 2012 Physics 5 104
[28] Chen Y A, Huber S D, Trotzky S, Bloch I, Altman E 2011 Nat. Phys. 7 61
[29] Chen Z D, Liang J Q, Shen S Q, Xie W F 2004 Phys. Rev. A 69 23611
[30] Tonel A P, Links J, Foerster A 2005 J. Phys. A 38 1235
[31] Fu L, Liu J 2006 Phys. Rev. A 74 063614
[32] 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]
[33] Gong J B, Morales-Molina L, Hänggi P 2009 Phys. Rev. Lett. 103 133002
[34] Pang M M, Hao Y 2016 Chin. Phys. B 25 40501
[35] Wang G F, Fu L B, Liu L 2006 Phys. Rev. A 73 13619
[36] Cirac J I, Lewenstein M, Mo K, Zoller P 1998 Phys. Rev. A 57 1208
[37] Leggett A J 2001 Rev. Mod. Phys. 73 307
[38] Li S C, Duan W S 2009 Acta Phys. Sin. 58 4396 (in Chinese)[栗生长, 段文山2009物理学报58 4396]
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[1] Bloch F, Rabi I I 1945 Rev. Mod. Phys. 17 237
[2] Majorana E 1932 Nuovo Cim. 9 43
[3] Stamper-Kurn D M, Ueda M 2013 Rev. Mod. Phys. 85 1191
[4] Zhu Q, Wu B 2015 Chin. Phys. B 24 050507
[5] Lian B, Ho T L, Zhai H 2012 Phys. Rev. A 85 051606
[6] Cui X, Lian B, Ho T L, Lev B L, Zhai H 2013 Phys. Rev. A 88 011601
[7] Devi A R U, Sudha, Rajagopal A K 2012 Quantum Inf. Process. 11 685
[8] Bruno P 2012 Phys. Rev. Lett. 108 240402
[9] Liu H D, Fu L B 2014 Phys. Rev. Lett. 113 240403
[10] Liu H D, Fu L B 2016 Phys. Rev. A 94 022123
[11] Tamate S, Ogawa K, Kitano M 2011 Phys. Rev. A 84 052114
[12] Aulbach M, Markham D, Murao M 2010 New J. Phys. 12 073025
[13] Martin J, Giraud O, Braun P A, Braun D, Bastin T 2010 Phys. Rev. A 81 062347
[14] Bastin T, Krins S, Mathonet P, Godefroid M, Lamata L, Solano E 2009 Phys. Rev. Lett. 103 070503
[15] Ribeiro P, Mosseri R 2011 Phys. Rev. Lett. 106 180502
[16] Ganczarek W, Kuś M,Życzkowski K 2012 Phys. Rev. A 85 032314
[17] Wang Z, Markham D 2012 Phys. Rev. Lett. 108 210407
[18] Wang Z, Markham D 2013 Phys. Rev. A 87 12104
[19] Cao H 2013 Acta Phys. Sin. 62 030303 (in Chinese)[曹辉2013物理学报62 030303]
[20] Barnett R, Podolsky D, Refael G 2009 Phys. Rev. B 80 024420
[21] Kawaguchi Y, Ueda M 2012 Phys. Rep. 520 253
[22] Yang C, Guo H, Fu L B, Chen S 2015 Phys. Rev. B 91 125132
[23] Milburn G J, Corney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318
[24] Micheli A, Jaksch D, Cirac J I, Zoller P 2003 Phys. Rev. A 67 013607
[25] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[26] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[27] Wu B, Niu Q, New J 2012 Physics 5 104
[28] Chen Y A, Huber S D, Trotzky S, Bloch I, Altman E 2011 Nat. Phys. 7 61
[29] Chen Z D, Liang J Q, Shen S Q, Xie W F 2004 Phys. Rev. A 69 23611
[30] Tonel A P, Links J, Foerster A 2005 J. Phys. A 38 1235
[31] Fu L, Liu J 2006 Phys. Rev. A 74 063614
[32] 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]
[33] Gong J B, Morales-Molina L, Hänggi P 2009 Phys. Rev. Lett. 103 133002
[34] Pang M M, Hao Y 2016 Chin. Phys. B 25 40501
[35] Wang G F, Fu L B, Liu L 2006 Phys. Rev. A 73 13619
[36] Cirac J I, Lewenstein M, Mo K, Zoller P 1998 Phys. Rev. A 57 1208
[37] Leggett A J 2001 Rev. Mod. Phys. 73 307
[38] Li S C, Duan W S 2009 Acta Phys. Sin. 58 4396 (in Chinese)[栗生长, 段文山2009物理学报58 4396]
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