运动光格中非线性作用随时空变化的玻色-爱因斯坦凝聚体的混沌时空动力学

李飞; 李文武

doi:10.7498/aps.74.20241604

[1]

Anderson M H, Ensher J R, Matthews M R, E Wieman C, Cornell E A 1995 Science 269 198 doi: 10.1126/science.269.5221.198

[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 doi: 10.1103/PhysRevLett.75.3969

[3]

Efremidis N K, Sears S, Christodoulides D N, Fleischer J W, Segev M 2002 Phys. Rev. E 66 046602 doi: 10.1103/PhysRevE.66.046602

[4]

Dahan B M, Peik E, Reichel J, Castin Y, Salomon C 1996 Phys. Rev. Lett. 76 4508 doi: 10.1103/PhysRevLett.76.4508

[5]

Anderson B P, Kasevich M A 1998 Science 282 1686 doi: 10.1126/science.282.5394.1686

[6]

Liu S, Xiong H, Xu Z, Huang G 2003 J. Phys. B 36 2083 doi: 10.1088/0953-4075/36/10/316

[7]

高吉明, 狄国文, 鱼自发, 唐荣安, 徐红萍, 薛具奎 2024 物理学报 73 130503 doi: 10.7498/aps.73.20240376 Gao J M, Di G W, Yu Z F, Tang R A, Xu H P, Xue J K 2024 Acta Phys. Sin. 73 130503 doi: 10.7498/aps.73.20240376

[8]

Pachos J K, Knight P L 2003 Phys. Rev. Lett. 91 107902 doi: 10.1103/PhysRevLett.91.107902

[9]

Morsch O, Müller J H, Cristiani M, Ciampini D, Arimondo E 2001 Phys. Rev. Lett. 87 140402 doi: 10.1103/PhysRevLett.87.140402

[10]

Bhattacherjee A B, Pietrzyk M 2008 Cent. Eur. J. Phys. 6 26

[11]

Choi D I, Niu Q 1999 Phys. Rev. Lett. 82 2022 doi: 10.1103/PhysRevLett.82.2022

[12]

Wu B, Niu Q 2001 Phys. Rev. A 64 061603(R doi: 10.1103/PhysRevA.64.061603

[13]

Cristiani M, Morsch O, Müller J H, Ciampini D, Arimondo E 2002 Phys. Rev. A 65 063612 doi: 10.1103/PhysRevA.65.063612

[14]

Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B, Niu Q 2002 Phys. Rev. A 66 023404 doi: 10.1103/PhysRevA.66.023404

[15]

Choi D I, Niu Q 2003 Phys. Lett. A 318 558 doi: 10.1016/j.physleta.2003.09.066

[16]

Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353 doi: 10.1103/PhysRevLett.86.2353

[17]

Berg-Sørensen K, Mølmer K 1998 Phys. Rev. A 58 1480 doi: 10.1103/PhysRevA.58.1480

[18]

Holthaus M 2000 J. Opt. B: Quantum Semiclassical Opt. 2 589 doi: 10.1088/1464-4266/2/5/306

[19]

Cerimele M M, Chiofalo M L, Pistella F, Succi S, Tosi M P 2000 Phys. Rev. E 62 1382 doi: 10.1103/PhysRevE.62.1382

[20]

Scott R G, Martin A M, Fromhold T M, Bujkiewicz S, Sheard F W, Leadbeater M 2003 Phys. Rev. Lett. 90 110404 doi: 10.1103/PhysRevLett.90.110404

[21]

Filho V S, Gammal A, Frederico T, Tomio L 2000 Phys. Rev. A 62 033605(R doi: 10.1103/PhysRevA.62.033605

[22]

Hai W H, Lee C H, Chong G S, Shi L 2002 Phys. Rev. E 66 026202 doi: 10.1103/PhysRevE.66.026202

[23]

Li F, Shu W X, Jiang J G, Luo H L, Ren Z Z 2007 Eur. Phys. J. D 41 355 doi: 10.1140/epjd/e2006-00247-3

[24]

Li F, Shu W X, Luo H L, Ren Z Z 2007 Chin. Phys. 16 650 doi: 10.1088/1009-1963/16/3/016

[25]

Li F, Ren Z Z, Luo H L, Shu W X, Wu Q 2007 Commun. Theor. Phys. 48 107 doi: 10.1088/0253-6102/48/1/023

[26]

李飞, 张冬霞, 李文斌 2011 物理学报 60 120304 doi: 10.7498/aps.60.120304 Li F, Zhang D X, Li W B 2011 Acta Phys. Sin. 60 120304 doi: 10.7498/aps.60.120304

[27]

Li F, Zhang D X, Rong S G, Xu Y 2013 J. Exp. Theor. Phys. 117 800 doi: 10.1134/S1063776113130141

[28]

Li F, He Z J, Li W W 2023 Commun. Theor. Phys. 75 035501 doi: 10.1088/1572-9494/acaef8

[29]

Li F, Li W W, He Z J 2023 Rom. J. Phys. 68 103

[30]

Chong G S, Hai W H, Xie Q T 2004 Phys. Rev. E 70 036213 doi: 10.1103/PhysRevE.70.036213

[31]

王冠芳, 傅立斌, 赵鸿, 刘杰 2005 物理学报 54 5003 doi: 10.3321/j.issn:1000-3290.2005.11.005 Wang G F, Fu L B, Zhao H, Liu J 2005 Acta. Phys. Sin. 54 5003 doi: 10.3321/j.issn:1000-3290.2005.11.005

[32]

Zhu Q Q, Hai W H, Rong S G 2009 Phys. Rev. E 80 016203 doi: 10.1103/PhysRevE.80.016203

[33]

王力, 刘静思, 李吉, 周晓林, 陈向荣, 刘超飞, 刘伍明 2020 物理学报 69 010303 doi: 10.7498/aps.69.20191648 Wang L, Liu J S, Li J, Zhou X L, Chen X R, Liu C F, Liu W M 2020 Acta Phys. Sin. 69 010303 doi: 10.7498/aps.69.20191648

[34]

王青青, 周玉珊, 王静, 樊小贝, 邵凯花, 赵月星, 宋燕, 石玉仁 2023 物理学报 69 010308 doi: 10.7498/aps.72.20222195 Wang Q Q, Zhou Y S, Wang J, Fan X B, Shao K H, Zhao Y X, Song Y, Shi Y R 2023 Acta Phys. Sin. 69 010308 doi: 10.7498/aps.72.20222195

[35]

Ruprecht P A, Edwards M, Burnett K, Clark C W 1996 Phys. Rev. A 54 4178 doi: 10.1103/PhysRevA.54.4178

[36]

Denschlag J H Simsarian, J E , Häffner H, McKenzie C, Browaeys A, Cho D, Helmerson K, Rolston S L, Phillips W D 2002 J. Phys. B 35 3095 doi: 10.1088/0953-4075/35/14/307

[37]

Mellish A S, Duffy G, McKenzie C, Geursen R, Wilson A C 2003 Phys. Rev. A 68 051601(R doi: 10.1103/PhysRevA.68.051601

[38]

Fallani L, Cataliotti F S, Catani J, Fort C, Modugno M, Zawada M, Inguscio M 2003 Phys. Rev. Lett. 91 240405 doi: 10.1103/PhysRevLett.91.240405

[39]

Kagan Y, Surkov E L, Shlyapnikov G V 1997 Phys. Rev. Lett. 79 2604 doi: 10.1103/PhysRevLett.79.2604

[40]

Cornish S L, Claussen N R, Roberts J L, Cornell E A, Wieman C E 2000 Phys. Rev. Lett. 85 1795 doi: 10.1103/PhysRevLett.85.1795

[41]

Kevrekidis P G, Theocharis G, Frantzeskakis D J, Malomed B A 2004 Phys. Rev. Lett. 90 230401 doi: 10.1103/PhysRevLett.90.230401

[42]

Theocharis G, Schmelcher P, Kevrekidis P G, Frantzeskakis D J 2005 Phys. Rev. A 72 033614 doi: 10.1103/PhysRevA.72.033614

[43]

Abdullaev F K, Garnier J 2005 Phys. Rev. A 72 061605(R doi: 10.1103/PhysRevA.72.061605

[44]

He J R, Li H M 2011 Phys. Rev. E 83 066607 doi: 10.1103/PhysRevE.83.066607

[45]

Avelar A T, Bazeia D, Cardoso W B 2009 Phys. Rev. A 79 025602(R doi: 10.1103/PhysRevA.79.025602

[46]

Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612 doi: 10.1103/PhysRevA.82.023612

[47]

Beitia J B, García V M P, Vekslerchik V, Konotop V V 2008 Phys. Rev. Lett. 100 164102 doi: 10.1103/PhysRevLett.100.164102

[48]

Arroyo Meza L E, de Souza Dutra A, Hott M B 2012 Phys. Rev. E 86 026605 doi: 10.1103/PhysRevE.86.026605

[49]

Arroyo Meza L E, Souza Dutra A de, Hott M B 2013 Phys. Rev. E 88 053202 doi: 10.1103/PhysRevE.88.053202

[50]

Cardoso W B, Leão S A, Avelar A T, Bazeia D, Hussein M S 2010 Phys. Lett. A 374 4594 doi: 10.1016/j.physleta.2010.09.037

[51]

Wang D S, Song S W, Xiong B, Liu W M 2011 Phys. Rev. A 84 053607 doi: 10.1103/PhysRevA.84.053607

[52]

Wang D S, Song S W, Liu W M 2012 Journal of Physics: Conference Series 400 012078 doi: 10.1088/1742-6596/400/1/012078

[53]

He J R, Yi L 2014 Phys. Lett. A 378 1085 doi: 10.1016/j.physleta.2014.01.050

[54]

Rong S G, Hai W H, Xie Q T, Zhong H H 2012 Chaos 22 033109 doi: 10.1063/1.4733304

[55]

Parker N G, Proukakis N P, Barenghi C F, Adams C S 2004 Phys. Rev. Lett. 92 160403 doi: 10.1103/PhysRevLett.92.160403

[56]

Parker N G, Proukakis N P,Barenghi C F, Adams C S 2004 J. Phys. B 37 S175 doi: 10.1088/0953-4075/37/7/063

[57]

Proukakis N P, Parker N G, Barenghi C F, Adams C S 2004 Phys. Rev. Lett. 93 130408 doi: 10.1103/PhysRevLett.93.130408

[58]

Gardiner S A, Jaksch D, Dum R, Cirac J I, Zoller P 2000 Phys. Rev. A 62 023612 doi: 10.1103/PhysRevA.62.023612

[59]

Machholm M, Pethick CJ, Smith H 2003 Phys. Rev. A 67 053613 doi: 10.1103/PhysRevA.67.053613

[60]

Goldstein E V, Meystre P 1999 Phys. Rev. A 59 1509 doi: 10.1103/PhysRevA.59.1509

[61]

Goldstein E V, Meystre P 1999 Phys. Rev. A 59 3896 doi: 10.1103/PhysRevA.59.3896

[62]

Ling H Y 2001 Phys. Rev. A 65 013608 doi: 10.1103/PhysRevA.65.013608

[63]

刘式适, 刘式达 2012 物理学中的非线性方程 (第二版)(北京: 北京大学出版社)第68页 Liu S K, Liu S D 2012 Nonlinear Equations in Physics (2^nd edition) (Beijing: Peking University Press) p68

[64]

Li F, Zhou B J, Shu W X, Luo H L, Huang Z Y, Tian L 2008 Eur. Phys. J. D 50 75 doi: 10.1140/epjd/e2008-00201-5

[65]

Stavans J, Heslot F, Libchaber A 1985 Phys. Rev. Lett. 55 596 doi: 10.1103/PhysRevLett.55.596

[66]

Bishop A R, Forest M G, McLaughlin D W, Overman II E A 1986 Physica D 23 293 doi: 10.1016/0167-2789(86)90137-5